Research Group
Nonlinear Algebra - Publications
Explore the scholarly works of the "Nonlinear Algebra" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our latest research through preprints.
inJournal
2024
Repository Open Access
The Martens-Mumford theorem and the Green-Lazarsfeld secant conjecture
In: Journal of algebraic geometry, (2024)inJournal
2024
Repository Open Access
Logarithmic Voronoi polytopes for discrete linear models
In: Algebraic statistics, 15 (2024) 1, pp. 1-13inJournal
2024
Repository Open Access
Weighted Reed-Solomon convolutional codes
In: Linear and multilinear algebra, 72 (2024) 5, pp. 841-874Preprint
2024
Repository Open Access
Identifiability of level-1 species networks from gene tree quartets
Preprint
2024
Repository Open Access
Chebyshev varieties
Book
2024
Journal Open Access
Metric algebraic geometry
Cham : Birkhäuser, 2024.(Oberwolfach Seminars ; 53)
ISBN: 978-3-031-51461-6, ISBN: 978-3-031-51462-3
inJournal
2024
Journal Open Access
Color-dressed generalized biadjoint scalar amplitudes : local planarity
In: Symmetry, integrability and geometry : methods and applications (SIGMA), 20 (2024), p. 016Preprint
2024
Repository Open Access
Subdivisions of hypersimplices : with a view toward finite metric spaces
inJournal
2024
Identifiability in robust estimation of tree structured models
In: Bernoulli, 30 (2024) 1, pp. 1-21inJournal
2024
Repository Open Access
Multigraded algebras and multigraded linear series
In: The journal of the London Mathematical Society, 109 (2024) 3, e12880inJournal
2024
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Graph curvature via resistance distance
In: Discrete applied mathematics, 348 (2024), pp. 68-78Preprint
2024
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The two lives of the Grassmannian
inJournal
2024
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Algebraic optimization of sequential decision problems
In: Journal of symbolic computation, 121 (2024), p. 102241Preprint
2024
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Minimal kinematics on \(\mathcal{M}_{0,n}\)
inJournal
2024
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Hirota varieties and rational nodal curves
In: Journal of symbolic computation, 120 (2024), p. 102239inJournal
2024
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Landau singularities revisited : computational algebraic geometry for Feynman integrals
In: Physical review letters, 132 (2024) 10, p. 101601inJournal
2024
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Likelihood geometry of determinantal point processes
In: Algebraic statistics, 15 (2024) 1, pp. 15-25inJournal
2024
Journal Open Access
Orbits classifying extensions of prime power order groups
In: International journal of group theory, 13 (2024) 1Preprint
2024
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Cumulant tensors in partitioned independent component analysis
inJournal
2024
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Computing tropical bitangents to smooth quartic curves in \(polymake\)
In: Journal of symbolic computation, 120 (2024), p. 102225inJournal
2024
Journal Open Access
A general framework for tropical differential equations
In: Manuscripta mathematica, 173 (2024) 3/4, pp. 1273-1304inJournal
2024
Repository Open Access
Subspaces fixed by a nilpotent matrix
In: Orbita mathematicae, 1 (2024) 1, pp. 1-15inJournal
2024
Repository Open Access
Syzygies, constant rank, and beyond
In: Journal of symbolic computation, 123 (2024), p. 102274Preprint
2024
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Geometry of polynomial neural networks
Preprint
2024
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Maximal Mumford curves from planar graphs
Preprint
2024
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The algebraic degree of the Wasserstein distance
Preprint
2024
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Santaló geometry of convex polytopes
Preprint
2024
Repository Open Access
Game theory of undirected graphical models
inJournal
2024
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Nash conditional independence curve
In: Journal of symbolic computation, 122 (2024), p. 102255Preprint
2024
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The Chow-Lam form
Preprint
2024
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Adjoints and canonical forms of tree amplituhedra
Preprint
2024
Repository Open Access
The polyhedral type of a polynomial map on the plane
inJournal
2024
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Toric geometry of entropic regularization
In: Journal of symbolic computation, 120 (2024), p. 102221inJournal
2024
Journal Open Access
A note on the rate of convergence of integration schemes for closed surfaces
In: Computational and applied mathematics, 43 (2024) 2, p. 92inJournal
2023
Repository Open Access
KP solitons from tropical limits
In: Journal of symbolic computation, 114 (2023), pp. 282-301inJournal
2023
Repository Open Access
Likelihood degenerations
In: Advances in mathematics, 414 (2023), p. 108863inJournal
2023
Repository Open Access
On the irrationality of moduli spaces of K3 surfaces
In: Transactions of the American Mathematical Society, 376 (2023) 2, pp. 1407-1426inJournal
2023
Journal Open Access
Recovery of plane curves from branch points
In: Discrete and computational geometry, (2023)inJournal
2023
Repository Open Access
Combinatorial differential algebra of \(x^p\)
In: Journal of symbolic computation, 114 (2023), pp. 193-208Academic
2023
Repository Open Access
Combinatorial methods in differential algebra
Dissertation, Universität Leipzig, 2023Preprint
2023
Repository Open Access
D-algebraic functions
inJournal
2023
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Linear PDE with constant coefficients
In: Glasgow mathematical journal, 65 (2023) S1, S2-S27inJournal
2023
Repository Open Access
Lines on \(p\)-adic and real cubic surfaces
In: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 93 (2023) 2, pp. 149-162inBook
2023
Repository Open Access
Moment varieties for mixtures of products
In: ISSAC '23 proceedings of the international symposium on symbolic and algebraic computation ; Tromso Norway ; July 24-27, 2023 / Alicia Dickenstein... (eds.)New York : ACM, 2023. - pp. 53-60
inBook
2023
Repository Open Access
Convex hulls of curves : volumes and signatures
In: Geometric science of information : 6th international conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, proceedings, part I / Frank Nielsen... (eds.)Cham : Springer, 2023. - pp. 455-464
(Lecture notes in computer science ; 14071)
Preprint
2023
Repository Open Access
Decomposing tensor spaces via path signatures
Preprint
2023
Repository Open Access
Differential equations for Gaussian statistical models with rational maximum likelihood estimator
Preprint
2023
Repository Open Access
Likelihood geometry of reflexive polytopes
inJournal
2023
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Third-order moment varieties of linear non-Gaussian graphical models
In: Information and inference, 12 (2023) 3, pp. 1405-1436Preprint
2023
Repository Open Access
Infinite matroids in tropical differential algebra
inJournal
2023
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Counting pairs of saddle connections
In: Advances in mathematics, 431 (2023), p. 109233inBook
2023
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Spreading the love for mathematical research data
In: 1st Conference on research data infrastructure (CoRDI) : connecting communities ; 12 - 14 September 2023, Karlsruhe (Germany) / York Sure-Vetter... (eds.)Hannover : TIB Open Publishing, 2023. - CoRDI2023-106
inJournal
2023
Repository Open Access
Strength and slice rank of forms are generically equal
In: Israel journal of mathematics, 254 (2023) 1, pp. 275-291inJournal
2023
Repository Open Access
Computing the nonfree locus of the moduli space of arrangements and Terao's freeness conjecture
In: Mathematics of computation, 92 (2023), pp. 1431-1452inJournal
2023
Journal Open Access
New MRD codes from linear cutting blocking sets
In: Annali di matematica pura ed applicata, 202 (2023), pp. 115-142inJournal
2023
Repository Open Access
Left regular bands of groups and the Mantaci-Reutenauer algebra
In: Journal of algebra, (2023)inJournal
2023
Journal Open Access
Algebraic and geometric computations in OSCAR
In: SIAM news, 56 (2023) 7, pp. 9-10inJournal
2023
Journal Open Access
The enumerative geometry of cubic hypersurfaces : point and line conditions
In: Collectanea mathematica, (2023)inJournal
2023
Journal Open Access
The average condition number of most tensor rank decomposition problems is infinite
In: Foundations of computational mathematics, 23 (2023) 2, pp. 433-491inJournal
2023
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Dimension of tensor network varieties
In: Communications in contemporary mathematics, 25 (2023) 10, p. 2250059Preprint
2023
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F-threshold of determinantal rings
Preprint
2023
Repository Open Access
Solving equations using Khovanskii bases
Preprint
2023
Repository Open Access
Higher-dimensional cubical sliding puzzles
Preprint
2023
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Higher-degree symmetric rank-metric codes
inJournal
2023
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The geometry of polynomial representations
In: International mathematics research notices, 2023 (2023) 16, pp. 14131-14195inJournal
2023
Journal Open Access
Topological Noetherianity of polynomial functors II : base rings with Noetherian spectrum
In: Mathematische Annalen, 385 (2023) 3/4, pp. 1879-1921inJournal
2023
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No eleventh conditional Ingleton inequality
In: Experimental mathematics, (2023)inJournal
2023
Journal Open Access
Research-data management planning in the German mathematical community
In: EMS magazine, 130 (2023), pp. 40-47inJournal
2023
Journal Open Access
Selfadhesivity in Gaussian conditional independence structures
In: International journal of approximate reasoning, 163 (2023), p. 109027inJournal
2023
Journal Open Access
The geometry of Gaussian double Markovian distributions
In: Scandinavian journal of statistics, 50 (2023) 2, pp. 665-696inJournal
2023
Repository Open Access
Bayesian integrals on toric varieties
In: SIAM journal on applied algebra and geometry, 7 (2023) 1, pp. 77-103Preprint
2023
Repository Open Access
Coupled cluster degree of the Grassmannian
Preprint
2023
Repository Open Access
Linear degenerate tropical flag varieties
Preprint
2023
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Realizability of matroid quotients
inJournal
2023
Repository Open Access
The leading coefficient of Lascoux polynomials
In: Discrete mathematics, 346 (2023) 2, p. 113217inJournal
2023
Journal Open Access
Competitive equilibrium always exists for combinatorial auctions with graphical pricing schemes
In: La matematica, 2 (2023) 1, pp. 1-30Preprint
2023
Repository Open Access
Intersection bodies of polytopes : translations and convexity
inJournal
2023
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Multivariate volume, Ehrhart, and \(h*\)-polynomials of polytropes
In: Journal of symbolic computation, 114 (2023), pp. 209-230Preprint
2023
Repository Open Access
The best ways to slice a polytope
inJournal
2023
Journal Open Access
Tropical positivity and determinantal varieties
In: Algebraic combinatorics, 6 (2023) 4, pp. 999-1040Academic
2023
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Tropical positivity and semialgebraic sets from polytopes
Dissertation, Universität Leipzig, 2023inJournal
2023
Repository Open Access
Algebraic compressed sensing
In: Applied and computational harmonic analysis, 65 (2023), pp. 374-406inJournal
2023
Repository Open Access
Certifying zeros of polynomial systems using interval arithmetic
In: ACM transactions on mathematical software, 49 (2023) 1, p. 11inJournal
2023
Repository Open Access
Line multiview varieties
In: SIAM journal on applied algebra and geometry, 7 (2023) 2, pp. 470-504inJournal
2023
Repository Open Access
Nonlinear algebra and applications
In: Numerical algebra, control and optimization, 13 (2023) 1, pp. 81-116inJournal
2023
Journal Open Access
Real circles tangent to 3 conics
In: Le Matematiche, 78 (2023) 1, pp. 149-175inJournal
2023
Journal Open Access
Computing characteristic polynomials of hyperplane arrangements with symmetries
In: Discrete and computational geometry, 70 (2023) 4, pp. 1356-1377Preprint
2023
Repository Open Access
Lawrence lifts, matroids, and maximum likelihood degrees
Preprint
2023
Repository Open Access
Quatroids and rational plane cubics
inBook
2023
Generalised cone complexes and tropical moduli in \(\texttt{polymake}\)
In: ISSAC '23 proceedings of the international symposium on symbolic and algebraic computation ; Tromso Norway ; July 24-27, 2023 / Alicia Dickenstein... (eds.)New York : ACM, 2023. - pp. 100-106
inJournal
2023
Journal Open Access
Biadjoint scalars and associahedra from residues of generalized amplitudes
In: Journal of high energy physics, 2023 (2023), p. 15Preprint
2023
Repository Open Access
Generalized color orderings : CEGM integrands and decoupling identities
(Journal of high energy physics)inJournal
2023
Journal Open Access
Designing weights for quartet-based methods when data is heterogeneous across lineages
In: Bulletin of mathematical biology, 85 (2023) 7, p. 68inJournal
2023
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An effective solution to convex \(1\)-body \(N\)-representability
In: Annales Henri Poincaré, 24 (2023) 7, pp. 2241-2321inJournal
2023
Repository Open Access
Crossing the transcendental divide : from translation surfaces to algebraic curves
In: Experimental mathematics, (2023)inJournal
2023
Repository Open Access
Primary decomposition with differential operators
In: International mathematics research notices, 2023 (2023) 14, pp. 12119-12147inJournal
2023
Repository Open Access
Contour integration for eigenvector nonlinearities
In: SIAM journal on matrix analysis and applications, 44 (2023) 4, pp. 1619-1644Preprint
2023
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A journey in the world of geometry and algebra : lecture 1
inBook
2023
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Birational maps and Nori motives
In: Essays in geometry : dedicated to Norbert A'Campo / Athanase Papadopoulos (ed.)Berlin : EMS Press, 2023. - pp. 761-780
(IRMA lectures in mathematics and theoretical physics ; 34)
inJournal
2023
Repository Open Access
Moufang patterns and geometry of information
In: Pure and applied mathematics quarterly, 19 (2023) 1, pp. 149-189Preprint
2023
Repository Open Access
On Frobenius structures in symmetric cones
inBook
2023
Poisson geometry of the statistical Frobenius manifold
In: Geometric science of information : 6th international conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, proceedings, part II / Frank Nielsen... (eds.)Cham : Springer, 2023. - pp. 165-172
(Lecture notes in computer science ; 14072)
inJournal
2023
Repository Open Access
Taylor polynomials of rational functions
In: Acta mathematica Vietnamica, (2023)inJournal
2023
Repository Open Access
Generalized cut polytopes for binary hierarchical models
In: Algebraic statistics, 14 (2023) 1, pp. 17-36Preprint
2023
Repository Open Access
Identifiability of the rooted tree parameter under the Cavender-Farris-Neyman model with a molecular clock
inJournal
2023
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Symmetrically colored Gaussian graphical models with toric vanishing ideals
In: SIAM journal on applied algebra and geometry, 7 (2023) 1, pp. 133-158Preprint
2023
Repository Open Access
Computing implicitizations of multi-graded polynomial maps
Preprint
2023
Repository Open Access
The Pfaffian structure of CFN phylogenetic networks
inJournal
2023
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Uniform matrix product states from an algebraic geometer's point of view
In: Advances in applied mathematics, 142 (2023), p. 102417inJournal
2023
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Koszul Gorenstein algebras from Cohen-Macaulay simplicial complexes
In: International mathematics research notices, 2023 (2023) 6, pp. 4998-5045inJournal
2023
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Families of polytopes with rational linear precision in higher dimensions
In: Foundations of computational mathematics, 23 (2023), pp. 2151-2202Preprint
2023
Repository Open Access
Ladder determinantal varieties and their symbolic blowups
inJournal
2023
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Identifiability in continuous Lyapunov models
In: SIAM journal on matrix analysis and applications, 44 (2023) 4, pp. 1799-1821Preprint
2023
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Uniform density in matroids, matrices and graphs
inJournal
2023
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The condition number of many tensor decompositions is invariant under Tucker compression
In: Numerical algorithms, 94 (2023) 2, pp. 1003-1029inJournal
2023
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Three decompositions of symmetric tensors have similar condition numbers
In: Linear algebra and its applications, 664 (2023), pp. 253-263inJournal
2023
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The moving-frame method for iterated-integrals signature : orthogonal invariants
In: Foundations of computational mathematics, 23 (2023) 4, pp. 1273-1333inJournal
2023
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Complexity of the usual torus action on Kazhdan-Lusztig varieties
In: Algebraic combinatorics, 6 (2023) 3, pp. 835-861inJournal
2023
Repository Open Access
Generalized cohomological field theories in the higher order formalism
In: Communications in mathematical physics, 399 (2023) 3, pp. 1439-1500Preprint
2023
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Algebraic sparse factor analysis
Preprint
2023
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Identifiability of homoscedastic linear structural equation models using algebraic matroids
Preprint
2023
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Algebraic geometry of quantum graphical models
inBook
2023
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Toric fiber products in geometric modeling
In: Geometric science of information : 6th international conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, proceedings, part I / Frank Nielsen... (eds.)Cham : Springer, 2023. - pp. 494-503
(Lecture notes in computer science ; 14071)
inJournal
2023
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Geometric quadratic Chabauty and \(p\)-adic heights
In: Expositiones mathematicae, 41 (2023) 3, pp. 631-674Preprint
2023
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Moduli space tilings and Lie-theoretic color factors
Preprint
2023
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Positive del Pezzo geometry
Preprint
2023
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Tropical geometry, quantum affine algebras, and scattering amplitudes
inJournal
2023
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Bolytrope orders
In: International journal of number theory, 19 (2023) 5, pp. 937-954Preprint
2023
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Surfaces in the tesseract
Preprint
2023
Repository Open Access
Mean value theorems for the S-arithmetic primitive Siegel transforms
Preprint
2023
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On real and observable realizations of input-output equations
Preprint
2023
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Rationality and parametrizations of algebraic curves under specializations
Preprint
2023
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Augmentations of Forman's Ricci curvature and their applications in community detection
Academic
2023
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Computation and physics in algebraic geometry
Dissertation, Universität Leipzig, 2023Preprint
2023
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Principal Landau determinants
Preprint
2023
Repository Open Access
There is no perfect Mondrian partition for squares of side lengths less than 1001
inJournal
2023
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On group invariants determined by modular group algebras : even versus odd characteristic
In: Algebras and representation theory, 26 (2023) 6, pp. 2683-2707inJournal
2023
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A tropical count of real bitangents to plane quartic curves
In: The electronic journal of combinatorics, 30 (2023) 2, P2.55Preprint
2023
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Graph curve matroids
inJournal
2023
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Self-dual matroids from canonical curves
In: Experimental mathematics, (2023)Preprint
2023
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Hilbert functions of chopped ideals
inJournal
2023
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A note on improved differentiability for the Banach-space valued Finsler \(\mathscr {y}\)-Laplacian
In: Comptes rendus mathematique, 361 (2023), pp. 1091-1105inJournal
2023
Journal Open Access
Exact solutions in log-concave maximum likelihood estimation
In: Advances in applied mathematics, 143 (2023), p. 102448inBook
2023
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Gaussian process priors for systems of linear partial differential equations with constant coefficients
In: Proceedings of the 40th international conference on machine learning : , 23-29 July 2023, Honolulu, Hawaii, USA[s. l.] : PMLR, 2023. - pp. 12587-12615
(Proceedings of machine learning research ; 202)
inJournal
2023
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Making waves
In: La matematica, 2 (2023) 3, pp. 593-615inJournal
2023
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Quadratic Chabauty and \(p\)-adic Gross-Zagier
In: Transactions of the American Mathematical Society, 376 (2023) 5, pp. 3725-3760inJournal
2023
Repository Open Access
Minimality of tensors of fixed multilinear rank
In: Linear and multilinear algebra, 71 (2023) 8, pp. 1364-1377inJournal
2023
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Tropical invariants for binary quintics and reduction types of Picard curves
In: Glasgow mathematical journal, (2023)Preprint
2023
Repository Open Access
\(D\)-module techniques for solving differential equations in the context of Feynman integrals
inJournal
2023
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Connected domination in graphs and v-numbers of binomial edge ideals
In: Collectanea mathematica, (2023)inJournal
2023
Journal Open Access
Some thoughts and experiments on Bergman's compact amalgamation problem
In: Beiträge zur Algebra und Geometrie, (2023)inJournal
2023
Repository Open Access
Cryptographic multilinear maps using pro-\(p\) groups
In: Advances in mathematics of communications, 17 (2023) 5, pp. 1101-1114inJournal
2023
Journal Open Access
Rigid Gorenstein toric Fano varieties arising from directed graphs
In: Collectanea mathematica, 74 (2023) 2, pp. 333-351Preprint
2023
Repository Open Access
Function space and critical points of linear convolutional networks
(SIAM journal on discrete mathematics)inJournal
2023
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Algorithmic aspects of information theory : Dagstuhl Seminar 22301
In: Dagstuhl reports, 12 (2023) 7, pp. 180-204inJournal
2023
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On the geometry of flag Hilbert-Poincaré series for matroids
In: Algebraic combinatorics, 6 (2023) 3, pp. 623-638inJournal
2023
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The universality of the resonance arrangement and its Betti numbers
In: Combinatorica, 43 (2023) 2, pp. 277-298inJournal
2023
Journal Open Access
Quantum correlations in the minimal scenario
In: Quantum : the open journal for quantum science, 7 (2023), pp. 1-59Preprint
2023
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A polyhedral homotopy algorithm for computing critical points of polynomial programs
Preprint
2023
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The algebraic degree of sparse polynomial optimization
inJournal
2023
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The maximum likelihood degree of sparse polynomial systems
In: SIAM journal on applied algebra and geometry, 7 (2023) 1, pp. 159-171Preprint
2023
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The symmetric geometric rank of symmetric tensors
inJournal
2023
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[Re] On explainability of graph neural networks via subgraph explorations
In: ReScience C, (2023)inJournal
2023
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Extremal \(\mathscr \{p, q\}\)-animals
In: Annals of combinatorics, 27 (2023) 1, pp. 169-209Preprint
2023
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Combinatorics of \(m=1\) Grasstopes
inJournal
2023
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Complete quadrics : Schubert calculus for Gaussian models and semidefinite programming
In: Journal of the European Mathematical Society, (2023)inJournal
2023
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Four-dimensional Lie algebras revisited
In: Journal of lie theory, 33 (2023) 3, pp. 703-712inJournal
2023
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Abelian invariants and a reduction theorem for the modular isomorphism problem
In: Journal of algebra, 636 (2023), pp. 533-559inJournal
2023
Repository Open Access
Evasive subspaces, generalized rank weights and near MRD codes
In: Discrete mathematics, 346 (2023) 12, p. 113605inJournal
2023
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Fiber convex bodies
In: Discrete and computational geometry, 70 (2023) 4, pp. 1451-1475inJournal
2023
Journal Open Access
Four lectures on Euler integrals
In: SciPost physics lecture notes, 2023 (2023), p. 75Preprint
2023
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Twisted cohomology and likelihood ideals
Preprint
2023
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The Fundamental theorem of tropical differential algebra over nontrivially valued fields and the radius of convergence of nonarchimedean differential equations
inJournal
2023
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Sublinear circuits and the constrained signomial nonnegativity problem
In: Mathematical programming, 198 (2023) 1, pp. 471-505inJournal
2023
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The geometry of one-weight codes in the sum-rank metric
In: Journal of combinatorial theory / A, 194 (2023) 1, p. 105703Preprint
2023
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Tverberg partition graphs
inJournal
2023
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Gibbs manifolds
In: Information geometry, (2023)Preprint
2023
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Logarithmically sparse symmetric matrices
Preprint
2023
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An algebraic geometry of paths via the iterated-integrals signature
inJournal
2023
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Higher Gaussian maps on K3 surfaces
In: International mathematics research notices, (2023)Preprint
2023
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Tropical implicitization revisited
inBook
2023
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Theoretical and numerical analysis of 3D reconstruction using point and line incidences
In: 2023 IEEE/CVF international conference on computer vision (ICCV) ; 1-6- October 2023Piscataway, NJ : IEEE, 2023. - pp. 3725-3734
inJournal
2023
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An algorithm for the non-identifiability of rank-3 tensors
In: Bollettino dell'Unione Matematica Italiana, 16 (2023) 3, pp. 595-624inJournal
2023
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Maximum likelihood estimation from a tropical and a Bernstein-Sato perspective
In: International mathematics research notices, 2023 (2023) 6, pp. 5263-5292Preprint
2023
Repository Open Access
The Hessian correspondence of hypersurfaces of degree 3 and 4
inJournal
2023
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Submodule codes as spherical codes in buildings
In: Designs, codes and cryptography : an international journal, 91 (2023) 7, pp. 2449-2472Preprint
2023
Repository Open Access
Algebraic varieties in quantum chemistry
inBook
2023
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Beyond linear algebra
In: Proceedings of the international congress of mathematicians 2022 July 6-14 : Volume 4 / Dmitry Beliaev... (eds.)Berlin : European Mathematical Society, 2023. - pp. 4820-4840
Preprint
2023
Repository Open Access
Arithmetic of D-algebraic functions
inJournal
2023
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Operations for D-algebraic functions
In: ACM Communications in computer algebra, 57 (2023) 2, pp. 51-56inJournal
2022
Repository Open Access
Locally heavy hyperplanes in multiarrangements
In: Journal of pure and applied algebra, 226 (2022) 1, p. 106791inBook
2022
Repository Open Access
Numerical reconstruction of curves from their Jacobians
In: Arithmetic, geometry, cryptography, and coding theory 2021 : 18th international conference ; May 31-June 4, 2021 Centre International de Rencontres Mathématiques, Marseille, France / Samuele Anni... (eds.)Providence, R.I. : American Mathematical Society, 2022. - pp. 1-12
(Contemporary mathematics ; 779)
Preprint
2022
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Vector spaces of generalized Euler integrals
inJournal
2022
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Probabilistic enumerative geometry over \(p\)-adic numbers : linear spaces on complete intersections
In: Annales Henri Lebesgue, 5 (2022), pp. 1329-1360Preprint
2022
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Decomposable context-specific models
inJournal
2022
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Linear cutting blocking sets and minimal codes in the rank metric
In: Journal of combinatorial theory / A, 192 (2022), p. 105658inJournal
2022
Journal Open Access
Sum-rank product codes and bounds on the minimum distance
In: Finite fields and their applications, 80 (2022), p. 102013inJournal
2022
Repository Open Access
Three combinatorial perspectives on minimal codes
In: SIAM journal on discrete mathematics, 36 (2022) 1, pp. 461-489inJournal
2022
Journal Open Access
Computing maximum likelihood estimates for Gaussian graphical models with Macaulay2
In: Journal of software for algebra and geometry, 12 (2022), pp. 1-10Preprint
2022
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The tropical critical points of an affine matroid
inJournal
2022
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Veronese and Segre morphisms between non-commutative projective spaces
In: European journal of mathematics, 8 (2022) Suppl. 1, pp. 235-273inJournal
2022
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The set of forms with bounded strength is not closed
In: Comptes rendus mathematique, 360 (2022), pp. 371-380inJournal
2022
Repository Open Access
A survey on rational curves on complex surfaces
In: Rivista di matematica della Università di Parma, 13 (2022) 2, pp. 505-534inJournal
2022
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Moderate-density parity-check codes from projective bundles
In: Designs, codes and cryptography : an international journal, 90 (2022) 12, pp. 2943-2966Preprint
2022
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Exceptional scattered sequences
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2022
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Algebraic degrees of 3-dimensional polytopes
In: Vietnam journal of mathematics, 50 (2022) 3, pp. 581-597inJournal
2022
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Correction to: 'Intersection bodies of polytopes' [63 (2022) 2, p. 419-439]
In: Beiträge zur Algebra und Geometrie, 63 (2022) 2, pp. 441-443inJournal
2022
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Intersection bodies of polytopes
In: Beiträge zur Algebra und Geometrie, 63 (2022) 2, pp. 419-439Preprint
2022
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Classifying one-dimensional discrete models with maximum likelihood degree one
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2022
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The geometries of Jordan nets and Jordan webs
In: Annali di matematica pura ed applicata, 201 (2022) 5, pp. 2413-2464inJournal
2022
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Universality of high-strength tensors
In: Vietnam journal of mathematics, 50 (2022) 2, pp. 557-580Preprint
2022
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Weak and strong extremal biquadratics
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2022
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Correction to: 'Gaussoids are two-antecedental approximations of Gaussian conditional independence structures' [In: Annals of mathematics and artificial intelligence, 90 (2022) 6, p. 645-673]
In: Annals of mathematics and artificial intelligence, 90 (2022) 6, pp. 675-676inJournal
2022
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Gaussoids are two-antecedental approximations of Gaussian conditional independence structures
In: Annals of mathematics and artificial intelligence, 90 (2022) 6, pp. 645-673inBook
2022
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Marginal independence models
In: ISSAC '22 proceedings of the international symposium on symbolic and algebraic computation ; Villeneuve-d'Ascq, France ; July 4 - 7, 2022New York : ACM, 2022. - pp. 263-271
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2022
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Two phase free boundary problem for poisson kernels
In: Indiana University mathematics journal, 71 (2022) 1, pp. 251-306Preprint
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Combinatorics of correlated equilibria
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Average degree of the essential variety
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Enumerative geometry of curvature of algebraic hypersurfaces
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Equations for GL invariant families of polynomials
In: Vietnam journal of mathematics, 50 (2022) 2, pp. 545-556inJournal
2022
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Quantitative singularity theory for random polynomials
In: International mathematics research notices, 2022 (2022) 8, pp. 5685-5719inJournal
2022
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Sensitivity of low-rank matrix recovery
In: Numerische Mathematik, 152 (2022) 4, pp. 725-759Preprint
2022
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The algebraic degree of coupled oscillators
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The zonoid algebra, generalized mixed volumes, and random determinants
In: Advances in mathematics, 402 (2022), p. 108361inJournal
2022
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Disguised toric dynamical systems
In: Journal of pure and applied algebra, 226 (2022) 8, p. 107035Preprint
2022
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Pairs in discrete lattice orbits with applications to Veech surfaces
(Journal of the European Mathematical Society)inBook
2022
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Flag matroids : algebra and geometry
In: Interactions with lattice polytopes : Magdeburg, Germany, September 2017 / Alexander M. Kasprzyk... (eds.)Cham : Springer, 2022. - pp. 73-114
(Springer proceedings in mathematics and statistics ; 386)
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Shrinking rates of horizontal gaps for generic translation surfaces
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Generic freeness of local cohomology and graded specialization
In: Transactions of the American Mathematical Society, 375 (2022), pp. 87-109inJournal
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Degree of rational maps and specialization
In: International mathematics research notices, 2022 (2022) 6, pp. 4451-4502inJournal
2022
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Mixed multiplicities of graded families of ideals
In: Journal of algebra, 590 (2022), pp. 394-412inJournal
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Voronoi cells of varieties
In: Journal of symbolic computation, 109 (2022), pp. 351-366inJournal
2022
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A quadratic identity in the shuffle algebra and an alternative proof for de Bruijn's formula
In: European journal of combinatorics, 99 (2022), p. 103406inBook
2022
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Algebraic properties of the information geometry's fourth Frobenius manifold
In: Advances in information and communication : proceedings of the 2022 future of information and communication conference (FICC), volume 1 / Kohei Arai (ed.)Cham : Springer, 2022. - pp. 356-370
(Lecture notes in networks and systems ; 438)
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Genus zero modular operad and absolute Galois group
In: North-Western European journal of mathematics, 8 (2022), pp. 25-60inJournal
2022
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Geometry of information : classical and quantum aspects
In: Theoretical computer science, 908 (2022), pp. 2-27Preprint
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Hidden symmetries of the Grothendieck-Teichmüller group
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Manin conjecture for statistical pre-Frobenius manifolds, hypercube relations and motivic Galois group in coding
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2022
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Quantum operads
In: Dialogues between physics and mathematics : C. N. Yang at 100 / Mo-Lin Ge... (eds.)Cham : Springer, 2022. - pp. 113-145
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Quantum SUSY operads
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Symplectic and Poisson geometry of the information geometry's Frobenius manifold
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Rank and border rank of Kronecker powers of tensors and Strassen's laser method
In: Computational complexity, 31 (2022) 1, p. 1inJournal
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Many faces of symmetric edge polytopes
In: The electronic journal of combinatorics, 29 (2022) 3, P3.24inJournal
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Density of rational points on a family of del Pezzo surfaces of degree one
In: Advances in mathematics, 405 (2022), p. 108489Preprint
2022
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Factorization for generalized biadjoint scalar amplitudes via matroid subdivisions
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Non-archimedean Schur representations of \(\mathrm{GL}(n,R)\) and their invariant lattices
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Orders and polytropes : matrix algebras from valuations
In: Beiträge zur Algebra und Geometrie, 63 (2022) 3, pp. 515-531Preprint
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Sampling from \(p\)-adic manifolds
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The Gaussian entropy map in valued fields
In: Algebraic statistics, 13 (2022) 1, pp. 1-18inJournal
2022
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The kinetic space of multistationarity in dual phosphorylation
In: Journal of dynamics and differential equations, 34 (2022) 2, pp. 825-852inJournal
2022
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The mathematical research-data repository MathRepo
In: Computeralgebra-Rundbrief, 70 (2022), pp. 16-20inJournal
2022
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Epsilon local rigidity and numerical algebraic geometry
In: Journal of algebra and its applications, 21 (2022) 1, p. 2250009inJournal
2022
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Secant non-defectivity via collisions of fat points
In: Advances in mathematics, 409 (2022) B, p. 108657Preprint
2022
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Computing algebraic degrees of phylogenetic varieties
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Algebras defined by Lyndon words and Artin-Schelter regularity
In: Transactions of the American Mathematical Society / B, 9 (2022), pp. 648-699inJournal
2022
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The geometry of discotopes
In: Le Matematiche, 77 (2022) 1, pp. 143-171Preprint
2022
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A Harnack inequality for weak solutions of the Finsler \(\gamma\)-Laplacian
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A study in quantitative equidistribution on the unit square
In: Acta Arithmetica, 205 (2022) 1, pp. 63-85inJournal
2022
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Staged tree models with toric structure
In: Journal of symbolic computation, 113 (2022), pp. 242-268inJournal
2022
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Computing zero-dimensional tropical varieties via projections
In: Computational complexity, 31 (2022) 1, p. 5inJournal
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Compensated compactness : continuity in optimal weak topologies
In: Journal of functional analysis, 283 (2022) 7, p. 109596inJournal
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Intersecting \(\psi\)-classes on tropical Hassett spaces
In: Combinatorial theory, 2 (2022) 3, p. 9inJournal
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Deep learning Gauss-Manin connections
In: Advances in applied Clifford algebras, 32 (2022) 2, p. 24inJournal
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Catastrophe in elastic tensegrity frameworks
In: Arnold mathematical journal, 8 (2022) 3/4, pp. 423-443Preprint
2022
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Toric ideals of characteristic imsets via quasi-independence gluing
(Algebraic statistics)Preprint
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A proof of T. Willwacher's conjecture
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Cohomology rings of quasitoric bundles
In: Filomat, 36 (2022) 19, pp. 6513-6537inJournal
2022
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Geometry of linear convolutional networks
In: SIAM journal on applied algebra and geometry, 6 (2022) 3, pp. 368-406inBook
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Positivity certificates via integral representations
In: Facets of algebraic geometry : a collection in honor of William Fulton's 80th birthday ; Volume 2 / Paolo Aluffi... (eds.)Cambridge : Cambridge University Press, 2022. - pp. 84-114
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Faces of cosmological polytopes
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Representability of matroids by \(c\)-arrangements is undecidable
In: Israel journal of mathematics, 252 (2022), pp. 95-147inJournal
2022
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Solving p-adic polynomial systems via iterative eigenvector algorithms
In: Linear and multilinear algebra, 70 (2022) 4, pp. 650-671Preprint
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Chess domination problems on polyominoes
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Complexity of chess domination problems
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Implementing real polyhedral homotopy
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Tropical optimal transport and Wasserstein distances
In: Information geometry, 5 (2022), pp. 247-287Preprint
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On smooth functions with two critical values
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Foundation of one-particle reduced density matrix functional theory for excited states
In: Journal of chemical theory and computation, 18 (2022) 1, pp. 124-140inJournal
2022
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Best \(k\)-layer neural network approximations
In: Constructive approximation, 55 (2022) 1, pp. 583-604inJournal
2022
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Generalized virtual polytopes and quasitoric manifolds
In: Trudy Matematiceskogo Instituta Imeni V. A. Steklova, 318 (2022), pp. 139-165inJournal
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Generalized virtual polytopes and quasitoric manifolds [Translation from Tr. Mat. Inst. Steklova 318, 139-165 (2022)]
In: Proceedings of the Steklov Institute of Mathematics, 318 (2022) 1, pp. 126-149inJournal
2022
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On the modular isomorphism problem for groups of class 3 and obelisks
In: Journal of group theory, 25 (2022) 1, pp. 163-206inJournal
2022
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Recovery from power sums
In: Experimental mathematics, (2022)Academic
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Semialgebraic convex bodies
Dissertation, Universität Leipzig, 2022inJournal
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Sharp bounds for the number of regions of maxout networks and vertices of Minkowski sums
In: SIAM journal on applied algebra and geometry, 6 (2022) 4, pp. 618-649inJournal
2022
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Extending two families of maximum rank distance codes
In: Finite fields and their applications, 81 (2022), p. 102045inJournal
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Twisted linearized Reed-Solomon codes : a skew polynomial framework
In: Journal of algebra, 609 (2022), pp. 792-839inJournal
2022
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Products of polymatroids with the strong exchange property
In: Journal of pure and applied algebra, 226 (2022) 6, p. 106967inJournal
2022
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Magnitude meets persistence : homology theories for filtered simplicial sets
In: Homology, homotopy and applications, 24 (2022) 2, pp. 365-387Preprint
2022
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Antipode formulas for pattern Hopf algebras
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Geometry of dependency equilibria
In: Rendiconti dell'Istituto di Matematica dell'Università di Trieste, 54 (2022), p. 5inJournal
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Two-dimensional cycle classes on \(\overline{\mathcal {M}}_{0,n}\)
In: Mathematische Zeitschrift, 301 (2022) 4, pp. 3713-3726inJournal
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Publisher correction: 'Geometry of log-concave density estimation' [In: Discrete and computational geometry, 61 (2019) 1, p. 136-160]
In: Discrete and computational geometry, 68 (2022) 2, pp. 645-645Preprint
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Multi-degrees in polynomial optimization
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Multivariate boundary regression models
In: Scandinavian journal of statistics, 49 (2022) 1, pp. 400-426Preprint
2022
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Convex hulls of surfaces in fourspace
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Measuring the local non-convexity of real algebraic curves
In: Journal of symbolic computation, 109 (2022), pp. 482-509inJournal
2022
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Permutations encoding the local shape of level curves of real polynomials via generic projections
In: Annales de l'Institut Fourier, 72 (2022) 4, pp. 1661-1703inJournal
2022
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Resolutions of operads via Koszul (bi)algebras
In: Journal of homotopy and related structures, 17 (2022) 2, pp. 175-200inJournal
2022
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The cohomology of coalgebras in species
In: Communications in algebra, 50 (2022) 7, pp. 2811-2830inJournal
2022
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FPS in action : an easy way to find explicit formulas for interlaced hypergeometric sequences
In: ACM Communications in computer algebra, 56 (2022) 2, pp. 46-50Preprint
2022
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Guessing with quadratic differential equations
(ACM Communications in computer algebra)inBook
2022
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On the effectiveness of persistent homology
In: Advances in neural information processing systems 35 : NeurIPS 2022 ; annual conference on neural information processing systems 2022[S. L.] : NeurIPS, 2022. - pp. 35432-35448
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2022
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Sumsets of sequences in abelian groups and flags in field extensions
Academic
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Combinatorial methods in algebraic geometry
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2022
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Cell graph neural networks enable the digital staging of tumor microenvironment and precise prediction of patient survival in gastric cancer
In: npj precision oncology, 6 (2022) 1, p. 45inJournal
2021
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Coloring the normalized Laplacian for oriented hypergraphs
In: Linear algebra and its applications, 629 (2021), pp. 192-207inJournal
2021
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Computing theta functions with Julia
In: Journal of software for algebra and geometry, 11 (2021) 1, pp. 41-51inJournal
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Moment identifiability of homoscedastic Gaussian mixtures
In: Foundations of computational mathematics, 21 (2021) 3, pp. 695-724Preprint
2021
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On algebraic theta divisors and rational solutions of the KP equation
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On the Schottky problem for genus-five Jacobians with a vanishing theta null
In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 22 (2021) 1, pp. 333-350inJournal
2021
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Pencils on surfaces with normal crossings and the Kodaira dimension of \(\overline{\mathcal{M}}_{g,n}\)
In: Forum of mathematics / Sigma, 9 (2021), e31inJournal
2021
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The Dubrovin threefold of an algebraic curve
In: Nonlinearity, 34 (2021) 6, pp. 3783-3812inJournal
2021
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Theta surfaces
In: Vietnam journal of mathematics, 49 (2021) 2, pp. 319-347Preprint
2021
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Multiplicity structure of the arc space of a fat point
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Real lines on random cubic surfaces
In: Arnold mathematical journal, 7 (2021) 4, pp. 541-559inJournal
2021
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A generalization of the space of complete quadrics
In: Le Matematiche, 76 (2021) 2, pp. 431-446inJournal
2021
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Logarithmic Voronoi cells
In: Algebraic statistics, 12 (2021) 1, pp. 75-95inJournal
2021
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The maximum likelihood degree of linear spaces of symmetric matrices
In: Le Matematiche, 76 (2021) 2, pp. 535-557inJournal
2021
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Gröbner bases for staged trees
In: Algebraic statistics, 12 (2021) 1, pp. 1-20inJournal
2021
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K3 polytopes and their quartic surfaces
In: Advances in geometry, 21 (2021) 1, pp. 85-98inJournal
2021
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On the generation of rank 3 simple matroids with an application to Terao' freeness conjecture
In: SIAM journal on discrete mathematics, 35 (2021) 2, pp. 1201-1223Preprint
2021
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Yet another eigenvalue algorithm for solving polynomial systems
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Eigenschemes of Ternary tensors
In: SIAM journal on applied algebra and geometry, 5 (2021) 4, pp. 620-650inJournal
2021
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Jordan algebras of symmetric matrices
In: Le Matematiche, 76 (2021) 2, pp. 337-353Preprint
2021
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Facet volumes of polytopes
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2021
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Weisfeiler and Lehman go cellular : CW networks
In: Advances in neural information processing systems 34 : NeurIPS 2021 ; annual conference on neural information processing systems 2021, December 6-14, 2021, virtual / Marc'Aurelio Ranzato (ed.)[S. L.] : NeurIPS, 2021. - pp. 2625-2640
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In: ICML 2021 : Proceedings of the 38th international conference on machine learning ; 18-24 July 2021[s. l.] : PMLR, 2021. - pp. 1026-1037
(Proceedings of machine learning research ; 139)
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Reciprocal maximum likelihood degrees of Brownian motion tree models
In: Le Matematiche, 76 (2021) 2, pp. 383-398inJournal
2021
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Birational sequences and the tropical Grassmannian
In: Journal of algebra, 585 (2021), pp. 784-803inJournal
2021
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Full-rank valuations and toric initial ideals
In: International mathematics research notices, 2021 (2021) 10, pp. 7715-7763inJournal
2021
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In: Journal of software for algebra and geometry, 11 (2021) 1, pp. 53-59Preprint
2021
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Meet and greet with OSCAR
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In: Le Matematiche, 76 (2021) 2, pp. 415-430inJournal
2021
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Solving decomposable sparse systems
In: Numerical algorithms, 88 (2021) 1, pp. 453-474inJournal
2021
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Tangent quadrics in real 3-space
In: Le Matematiche, 76 (2021) 2, pp. 355-367inJournal
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The degree of Stiefel manifolds
In: Enumerative combinatorics and applications, 1 (2021) 3, S2R20Preprint
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Stacky fans and tropical moduli in polymake
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Fields of definition of elliptic fibrations on covers of certain extremal rational elliptic surfaces
In: Women in numbers Europe III : research directions in number theory / Alina Carmen Cojocaru... (eds.)Cham : Springer, 2021. - pp. 171-205
(Association for Women in Mathematics Series)
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Common tangents to polytopes
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Finiteness theorems for matroid complexes with prescribed topology
In: European journal of combinatorics, 92 (2021), p. 103239inJournal
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Minkowski summands of cubes
In: Séminaire lotharingien de combinatoire, 85B (2021), p. 59inJournal
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On the Todd class of the permutohedral variety
In: Algebraic combinatorics, 4 (2021) 3, pp. 387-407inJournal
2021
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Thomae-Weber formula : algebraic computations of theta constants
In: International mathematics research notices, 2021 (2021) 23, pp. 17798-17822inJournal
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Wasserstein distance to independence models
In: Journal of symbolic computation, 104 (2021), pp. 855-873Preprint
2021
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The shift-dimension of multipersistence modules
(SIAM journal on applied algebra and geometry)inJournal
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Computing unit groups of curves
In: Journal of symbolic computation, 104 (2021), pp. 236-255inJournal
2021
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Border rank non-additivity for higher order tensors
In: SIAM journal on matrix analysis and applications, 42 (2021) 2, pp. 503-527inJournal
2021
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Optimization at the boundary of the tensor network variety
In: Physical review / B, 103 (2021) 9, p. 195139inJournal
2021
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Equations and multidegrees for inverse symmetric matrix pairs
In: Le Matematiche, 76 (2021) 2, pp. 369-381inJournal
2021
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Mixed multiplicities and projective degrees of rational maps
In: Journal of algebra, 566 (2021), pp. 136-162inJournal
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Multiplicity of the saturated special fiber ring of height three Gorenstein ideals
In: Acta mathematica Vietnamica, 46 (2021) 4, pp. 663-674inJournal
2021
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Noetherian operators, primary submodules and symbolic powers
In: Collectanea mathematica, 72 (2021) 1, pp. 175-202inJournal
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Primary ideals and their differential equations
In: Foundations of computational mathematics, 21 (2021) 5, pp. 1363-1399Preprint
2021
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A note on exponential varieties, statistical manifolds and Frobenius structures
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At the frontiers of reality and imagination : when the brain is tricked
In: L'Op Art rencontre les neurosciencesLausanne : Favre, 2021. - pp. 48-57
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Dessins for modular operads and the Grothendieck-Teichmüller group
In: Topology and geometry : a collection of essays dedicated to Vladimir G. Turaev / Athanase Papadopoulos (ed.)Berlin : European Mathematical Society, 2021. - pp. 537-560
(IRMA lectures in mathematics and theoretical physics ; 33)
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Frobenius statistical manifolds and geometric invariants
In: Geometric science of information : 5th international conference, GSI 2021, Paris, France, July 21-23, 2021, proceedings / Frank Nielsen... (eds.)Cham : Springer, 2021. - pp. 565-573
(Lecture notes in computer science ; 12829)
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2021
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Pseudo-elliptic geometry of a class of Frobenius-manifolds and Maurer-Cartan structures
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Symmetries of genus zero modular operad
In: Integrability, quantization, and geometry II. : Quantum theories and algebraic geometry ; dedicated to the memory of Boris Dubrovin 1950-2019 / Sergey Novikov... (eds.)Providence : American Mathematical Society, 2021. - pp. 101-109
(Proceedings of symposia in pure mathematics ; 103.2)
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Effective obstruction to lifting Tate classes from positive characteristic
In: Arithmetic geometry, number theory, and computation / Jennifer S. Balakrishnan (ed.)Cham : Springer, 2021. - pp. 293-333
(Simons Symposia)
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Stanley-Reisner rings for symmetric simplicial complexes, G-semimatroids and Abelian arrangements
In: Journal of combinatorial algebra, 5 (2021) 3, pp. 185-236inJournal
2021
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Coloured graphical models and their symmetries
In: Le Matematiche, 76 (2021) 2, pp. 501-515inJournal
2021
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Definite determinantal representations via orthostochastic matrices
In: Journal of symbolic computation, 104 (2021), pp. 15-37Preprint
2021
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Geometry of the Gaussian graphical model of the cycle
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Gorenstein property for phylogenetic trivalent trees
In: Journal of algebra, 575 (2021), pp. 233-255inJournal
2021
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K-theoretic Tutte polynomials of morphisms of matroids
In: Journal of combinatorial theory / A, 181 (2021), p. 105414inJournal
2021
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Irregular Hodge filtration of some confluent hypergeometric systems
In: Journal of the Institute of Mathematics of Jussieu, 20 (2021) 2, pp. 627-668inJournal
2021
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Discrete statistical models with rational maximum likelihood estimator
In: Bernoulli, 27 (2021) 1, pp. 135-154Preprint
2021
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Eigenforms of hyperelliptic curves with many automorphisms
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Maximum likelihood estimation for nets of conics
In: Le Matematiche, 76 (2021) 2, pp. 399-414Preprint
2021
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Valued rank-metric codes
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2021
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Reciprocal maximum likelihood degrees of diagonal linear concentration models
In: Le Matematiche, 76 (2021) 2, pp. 447-459inJournal
2021
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On the unique unexpected quartic in \(\mathbb{P}^2\)
In: Journal of algebraic combinatorics, 53 (2021) 1, pp. 131-146inJournal
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Pencils of quadrics : old and new
In: Le Matematiche, 76 (2021) 2, pp. 319-335inJournal
2021
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Toric varieties from cyclic matrix semigroups
In: Rendiconti dell'Istituto di Matematica dell'Università di Trieste, 53 (2021), p. 17inBook
2021
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The braided group of a square-free solution of the Yang-Baxter equation and its group algebra
In: Advanced computing in industrial mathematics : 13th annual meeting of the Bulgarian section of SIAM, December 18-20, 2018, Sofia, Bulgaria, revised selected papers / Ivan Georgiev... (eds.)Cham : Springer, 2021. - pp. 182-197
(Studies in computational intelligence ; 961)
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Mathematik in der Nationalen Forschungsdateninfrastruktur
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 29 (2021) 3, pp. 122-123inJournal
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Algebraic analysis of the hypergeometric function \(\,{_1F_{\!\!\;1}}\,\) of a matrix argument
In: Beiträge zur Algebra und Geometrie, 62 (2021) 2, pp. 397-427inJournal
2021
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Detecting tropical defects of polynomial equations
In: Journal of algebraic combinatorics, 53 (2021) 1, pp. 31-47inJournal
2021
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Global projections of the soil microbiome in the Anthropocene
In: Global ecology and biogeography, 30 (2021) 5, pp. 987-999inJournal
2021
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Tropicalized quartics and canonical embeddings for tropical curves of genus 3
In: International mathematics research notices, 2021 (2021) 12, pp. 8946-8976inJournal
2021
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An SOS counterexample to an inequality of symmetric functions
In: Journal of pure and applied algebra, 225 (2021) 8, p. 106656inJournal
2021
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Branching from the general linear group to the symmetric group and the principal embedding
In: Algebraic combinatorics, 4 (2021) 2, pp. 189-200inJournal
2021
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Hilbert series of typical representations for Lie superalgebras
In: Journal of lie theory, 31 (2021) 3, pp. 797-809inJournal
2021
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Symmetry adapted gram spectrahedra
In: SIAM journal on applied algebra and geometry, 5 (2021) 1, pp. 140-164inJournal
2021
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Gorenstein graphic matroids
In: Israel journal of mathematics, 243 (2021) 1, pp. 1-26inJournal
2021
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Decoding of interleaved alternant codes
In: IEEE transactions on information theory, 67 (2021) 12, pp. 8016-8033inJournal
2021
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Canonical Hilbert-Burch matrices for power series
In: Journal of algebra, 583 (2021), pp. 1-24inJournal
2021
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Bad projections of the PSD cone
In: Collectanea mathematica, 72 (2021) 2, pp. 261-280inJournal
2021
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Linear spaces of symmetric matrices with non-maximal maximum likelihood degree
In: Le Matematiche, 76 (2021) 2, pp. 461-481inJournal
2021
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Singularities and genus of the \({k}\)-ellipse
In: Journal of symbolic computation, 104 (2021), pp. 343-355inJournal
2021
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Cheeger-like inequalities for the largest eigenvalue of the graph Laplace operator
In: Journal of graph theory, 97 (2021) 3, pp. 408-425inJournal
2021
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Normalized Laplace operators for hypergraphs with real coefficients
In: Journal of complex networks, 9 (2021) 1, cnab009inJournal
2021
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Correction to [updated to open access] : 'The Schläfli fan' [In: Discrete and computational geometry, 64 (2020) 2, p. 355-381]
In: Discrete and computational geometry, 66 (2021) 4, pp. 1217-1217inJournal
2021
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Geometric and probabilistic limit theorems in topological data analysis
In: Advances in applied mathematics, 131 (2021), p. 102244inJournal
2021
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Symmetric polynomials in upper-bound semirings
In: Journal of symbolic computation, 103 (2021), pp. 280-299inJournal
2021
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In: Mathematische Zeitschrift, 299 (2021) 3-4, pp. 1973-1986Preprint
2021
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Gorenstein algebras and toric bundles
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2021
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Adjoints and canonical forms of polypols
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2021
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Isotropic and coisotropic subvarieties of Grassmannians
In: Advances in mathematics, 377 (2021), p. 107492inJournal
2021
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The universality of the resonance arrangement and its Betti numbers
In: Séminaire lotharingien de combinatoire, 85B (2021), p. 75inJournal
2021
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\(p\)-adic integral geometry
In: SIAM journal on applied algebra and geometry, 5 (2021) 1, pp. 28-59inJournal
2021
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Random geometric complexes and graphs on Riemannian manifolds in the thermodynamic limit
In: Discrete and computational geometry, 66 (2021) 3, pp. 1072-1104inJournal
2021
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Equivariant \(D\)-modules on alternating senary 3-tensors
In: Nagoya mathematical journal, 243 (2021), pp. 61-82inJournal
2021
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Minimal free resolutions of ideals of minors associated to pairs of matrices
In: Proceedings of the American Mathematical Society, 149 (2021) 5, pp. 1857-1873inJournal
2021
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Equivariant Hilbert series for hierarchical models
In: Algebraic statistics, 12 (2021) 1, pp. 21-42Book
2021
Invitation to nonlinear algebra
Providence, R.I. : American Mathematical Society, 2021. - p. 226(Graduate studies in mathematics ; 211)
ISBN: 978-1-4704-5367-1, ISBN: 978-1-4704-6308-3, ISSN: 1065-7339
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2021
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Maximum likelihood degree, complete quadrics and \({\mathbb C}^*\)-action
In: SIAM journal on applied algebra and geometry, 5 (2021) 1, pp. 60-85inJournal
2021
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Triangulations and canonical forms of amplituhedra : a fiber-based approach beyond polytopes
In: Communications in mathematical physics, 387 (2021) 2, pp. 927-972inJournal
2021
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Realizability of tropical canonical divisors
In: Journal of the European Mathematical Society, 23 (2021) 1, pp. 185-217inJournal
2021
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On reconstructing subvarieties from their periods
In: Rendiconti del Circolo Matematico di Palermo, 70 (2021) 3, pp. 1441-1457inJournal
2021
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Sharp bounds for the largest eigenvalue
In: Mathematical notes, 109 (2021) 1/2, pp. 102-109inJournal
2021
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Spectral classes of hypergraphs
In: The Australasian Journal of Combinatorics, 79 (2021) 3, pp. 495-514inJournal
2021
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Spectral theory of Laplace operators on oriented hypergraphs
In: Discrete mathematics, 344 (2021) 6, p. 112372inJournal
2021
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On the Betti numbers and Rees algebras of ideals with linear powers
In: Journal of algebraic combinatorics, 53 (2021) 2, pp. 575-592inJournal
2021
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Subalgebras generated in degree two with minimal Hilbert function
In: Mathematica Scandinavica, 127 (2021) 1, pp. 5-27Preprint
2021
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The cone of \(5\times 5\) completely positive matrices
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2021
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Maximum likelihood estimation for totally positive log-concave densities
In: Scandinavian journal of statistics, 48 (2021) 3, pp. 817-844inJournal
2021
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Topological computation of Stokes matrices of some weighted projective lines
In: Manuscripta mathematica, 164 (2021) 3/4, pp. 327-347Academic
2021
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Real algebraic geometry of the sextic curves
Dissertation, Universität Leipzig, 2021inJournal
2021
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In: Mathematische Annalen, 381 (2021) 1-2, pp. 593-629inJournal
2021
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Likelihood equations and scattering amplitudes
In: Algebraic statistics, 12 (2021) 2, pp. 167-186inJournal
2021
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A new family of triangulations of \(\mathbb{R}P^d\)
In: Combinatorica, 41 (2021) 1, pp. 127-146inJournal
2021
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The action of the Weyl group on the \(E_8\) root system
In: Graphs and combinatorics, 37 (2021) 6, pp. 1965-2064inJournal
2021
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Computing min-convex hulls in the affine building of \(SL_d\)
In: Discrete and computational geometry, 65 (2021) 4, pp. 1314-1336inJournal
2020
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Algebraic analysis of rotation data
In: Algebraic statistics, 11 (2020) 2, pp. 189-211inJournal
2020
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Families of toric chemical reaction networks
In: Journal of mathematical chemistry, 58 (2020) 9, pp. 2061-2093Preprint
2020
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Normal crossing immersions, cobordisms and flips
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2020
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Chebyshev polynomials and best rank-one approximation ratio
In: SIAM journal on matrix analysis and applications, 41 (2020) 1, pp. 308-331inJournal
2020
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The real polynomial eigenvalue problem is well conditioned on the average
In: Foundations of computational mathematics, 20 (2020) 2, pp. 291-309inJournal
2020
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Typical and generic ranks in matrix completion
In: Linear algebra and its applications, 585 (2020), pp. 71-104inJournal
2020
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Toric degenerations of cluster varieties and cluster duality
In: Compositio mathematica, 156 (2020) 10, pp. 2149-2206inJournal
2020
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A tropical count of binodal cubic surfaces
In: Le Matematiche, 75 (2020) 2, pp. 627-649inJournal
2020
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Tropical superelliptic curves
In: Advances in geometry, 20 (2020) 4, pp. 527-551inJournal
2020
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3264 conics in a second
In: Notices of the American Mathematical Society, 67 (2020) 1, pp. 30-37inJournal
2020
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On the average condition number of tensor rank decompositions
In: IMA journal of numerical analysis, 40 (2020) 3, pp. 1908-1936inJournal
2020
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Random points on an algebraic manifold
In: SIAM journal on mathematics of data science, 2 (2020) 3, pp. 683-704inJournal
2020
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Prym varieties of genus four curves
In: Transactions of the American Mathematical Society, 373 (2020) 1, pp. 149-183inJournal
2020
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96120 : The degree of the linear orbit of a cubic surface
In: Le Matematiche, 75 (2020) 2, pp. 425-437inJournal
2020
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In: Le Matematiche, 75 (2020) 2, pp. 489-505inJournal
2020
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Degree and birationality of multi-graded rational maps
In: Proceedings of the London Mathematical Society, 121 (2020) 4, pp. 743-787inBook
2020
A numerical efficiency analysis of a common ancestor condition
In: Mathematical aspects of computer and information sciences : 8th international conference, MACIS 2019, Gebze-Istanbul, Turkey, November 13-15, 2019 ; revised selected papers / Daniel Slamanig... (eds.)Cham : Springer, 2020. - pp. 357-363
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2020
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In: Séminaire lotharingien de combinatoire, 84B (2020), p. 73inJournal
2020
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When are multidegrees positive?
In: Advances in mathematics, 374 (2020), p. 107382inJournal
2020
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In: Forum of mathematics / Sigma, 8 (2020), e23inJournal
2020
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On the eigenpoints of cubic surfaces
In: Le Matematiche, 75 (2020) 2, pp. 611-625inBook
2020
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In: Mathematical aspects of computer and information sciences : 8th international conference, MACIS 2019, Gebze-Istanbul, Turkey, November 13-15, 2019 ; revised selected papers / Daniel Slamanig... (eds.)Cham : Springer, 2020. - pp. 364-381
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In: Journal of software for algebra and geometry, 10 (2020) 1, pp. 17-24inJournal
2020
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In: Mathematical programming, 182 (2020) 1/2, pp. 399-428inJournal
2020
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Signatures of paths transformed by polynomial maps
In: Beiträge zur Algebra und Geometrie, 61 (2020) 4, pp. 695-717inJournal
2020
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Toric geometry of path signature varieties
In: Advances in applied mathematics, 121 (2020), p. 102102inJournal
2020
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\(F\)-manifolds and geometry of information
In: The bulletin of the London Mathematical Society, 52 (2020) 5, pp. 777-792Preprint
2020
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Čech cover of the complement of the discriminant variety II : deformations of Gauss-skizze
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2020
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In: Art et mathématiques : modélisations mathématiques et transformations artistiques des données du réel / Yann Toma... (eds.)Paris : Editions Jannink, 2020. - pp. 80-87
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2020
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In: Algebraic statistics, 11 (2020) 2, pp. 107-123Preprint
2020
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The structure of the moduli spaces of toric dynamical systems
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2020
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Circulant matrices and Galois-Togliatti systems
In: Journal of pure and applied algebra, 224 (2020) 11, p. 106404inJournal
2020
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In: Beiträge zur Algebra und Geometrie, 61 (2020) 3, pp. 473-505inJournal
2020
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Testing hyperbolicity of real polynomials
In: Mathematics in computer science, 14 (2020) 1, pp. 111-121Preprint
2020
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In: Le Matematiche, 75 (2020) 2, pp. 595-610inJournal
2020
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A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I : Rows
In: Journal of algebra, 560 (2020), pp. 1253-1296inJournal
2020
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A positive combinatorial formula for symplectic Kostka-Foulkes polynomials I : Rows
In: Séminaire lotharingien de combinatoire, 84B (2020), p. 42inJournal
2020
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In: Le Matematiche, 75 (2020) 2, pp. 537-557inJournal
2020
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Circuit-difference matroids
In: The electronic journal of combinatorics, 27 (2020) 3, P3.11inJournal
2020
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Implicitization of tensor product surfaces via virtual projective resolutions
In: Mathematics of computation, 89 (2020) 326, pp. 3023-3056inBook
2020
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Numerical equality tests for rational maps and signatures of curves
In: ISSAC '20 proceedings of the 45th international symposium on symbolic and algebraic computation ; Kalamata Greece, July 20-23, 2020New York : ACM, 2020. - pp. 154-161
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2020
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In: Computer vision - ECCV 2020 ; 16th european conference, Glasgow, UK, August 23-28, 2020 ; proceedings, Part XXVI / Andrea Vedaldi... (eds.)Cham : Springer, 2020. - pp. 175-192
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2020
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Equations defining probability tree models
In: Journal of symbolic computation, 99 (2020), pp. 127-146inJournal
2020
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Model-preserving sensitivity analysis for families of Gaussian distributions
In: Journal of machine learning research, 21 (2020), p. 84Preprint
2020
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Staged trees are curved exponential families
Academic
2020
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Projective geometry, toric algebra and tropical computations
Dissertation, Universität Leipzig, 2020inJournal
2020
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Optimality regions for designs in multiple linear regression models with correlated random coefficients
In: Journal of statistical planning and inference, 209 (2020), pp. 267-279Preprint
2020
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One-parameter families of multiview varieties via quotient lattices
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2020
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Dual matroid polytopes and internal activity of independence complexes
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2020
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Vanishing Hessian, wild forms and their border VSP
In: Mathematische Annalen, 378 (2020) 3/4, pp. 1505-1532inJournal
2020
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Khovanskii-Finite valuations, rational curves, and torus actions
In: Journal of combinatorial algebra, 4 (2020) 2, pp. 141-166inJournal
2020
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The Schläfli fan
In: Discrete and computational geometry, 64 (2020) 2, pp. 355-381inJournal
2020
Geometrie optimaler Versuchspläne
In: Mitteilungen der Deutschen Mathematiker-Vereinigung, 28 (2020) 2, pp. 71-76inJournal
2020
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Cooperativity, absolute interaction, and algebraic optimization
In: Journal of mathematical biology, 81 (2020) 4/5, pp. 1169-1191inJournal
2020
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Cubic surfaces on the singular locus of the Eckardt hypersurface
In: Le Matematiche, 75 (2020) 2, pp. 507-516inJournal
2020
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Secant varieties of toric varieties arising from simplicial complexes
In: Linear algebra and its applications, 588 (2020), pp. 428-457inJournal
2020
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Differential signatures of algebraic curves
In: SIAM journal on applied algebra and geometry, 4 (2020) 1, pp. 185-226inJournal
2020
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Moment varieties of measures on polytopes
In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 21 (2020), pp. 739-770inJournal
2020
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The universality of the resonance arrangement [In: Discrete geometry ; 20 September - 26 September 2020 ; report no. 30/2020]
In: Oberwolfach reports, 17 (2020) 2/3, pp. 1489-1491Preprint
2020
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Von Staudt constructions for skew-linear and multilinear matroids
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2020
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The separating semigroup of a real curve
In: Annales de la Faculté des Sciences de Toulouse, 29 (2020) 1, pp. 79-96Preprint
2020
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On algebraic properties of matroid polytopes
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2020
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A counterexample to the extension space conjecture for realizable oriented matroids
In: The journal of the London Mathematical Society, 101 (2020) 1, pp. 175-193inJournal
2020
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Flip-connectivity of triangulations of the product of a tetrahedron and simplex
In: Discrete and computational geometry, 63 (2020) 1, pp. 1-30inJournal
2020
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Chern-Schwartz-MacPherson cycles of matroids
In: Proceedings of the London Mathematical Society, 120 (2020) 1, pp. 1-27inJournal
2020
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Iterated local cohomology groups and Lyubeznik numbers for determinantal rings
In: Algebra and number theory, 14 (2020) 9, pp. 2533-2569Preprint
2020
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Local cohomology on a subexceptional series of representations
Academic
2020
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The algebraic statistics of sampling, likelihood, and regression
Dissertation, Universität Leipzig, 2020inJournal
2020
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Computing tropical varieties over fields with valuation
In: Foundations of computational mathematics, 20 (2020) 4, pp. 783-800inJournal
2020
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Book review: 'Geometry and complexity theory', by J. M. Landsberg, Cambridge University Press, 2017
In: Bulletin of the American Mathematical Society, 57 (2020) 2, pp. 317-324Preprint
2020
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The Gaussian moduli [Supplementary resources to 'Maximum likelihood degree, complete quadrics and C*-action']
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2020
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Can neural networks learn persistent homology features?
In: NeurIPS 2020 : Workshop on topological data analysis and beyond ; 11 December 2020[S. L.] : NeurIPS, 2020.
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2020
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A survey on wild mathematics
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2020
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Coupled dynamics on hypergraphs : master stability of steady states and synchronization
In: Physical review / E, 101 (2020) 6, p. 062313inJournal
2020
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Minimal embedding dimensions of connected neural codes
In: Algebraic statistics, 11 (2020) 1, pp. 99-106Academic
2020
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Spectra of normalized Laplace operators for graphs and hypergraphs
Dissertation, Universität Leipzig, 2020inJournal
2020
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An octanomial model for cubic surfaces
In: Le Matematiche, 75 (2020) 2, pp. 517-536inJournal
2020
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Complex best \(r\)-term approximations almost always exist in finite dimensions
In: Applied and computational harmonic analysis, 49 (2020) 1, pp. 180-207inJournal
2020
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Twenty-seven questions about the cubic surface
In: Le Matematiche, 75 (2020) 2, pp. 411-424inJournal
2020
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Asymptotics of a locally dependent statistic on finite reflection groups
In: The electronic journal of combinatorics, 27 (2020) 2, P2.24inJournal
2020
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Quasi-matroidal classes of ordered simplicial complexes
In: Journal of combinatorial theory / A, 175 (2020), p. 105274Academic
2020
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Algebraic geometry for tensor networks, matrix multiplication, and flag matroids
Dissertation, Universität Leipzig, 2020inJournal
2020
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Constructing separable Arnold snakes of morse polynomials
In: Portugaliae mathematica, 77 (2020) 2, pp. 219-260inJournal
2020
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Brownian motion tree models are toric
In: Kybernetika, 56 (2020) 6, pp. 1154-1175inJournal
2020
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Estimating linear covariance models with numerical nonlinear algebra
In: Algebraic statistics, 11 (2020) 1, pp. 31-52inBook
2020
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Symmetric matrices, Catalan paths, and correlations
In: Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4-8, 2016Nancy, France : Discrete Mathematics & Theoretical Computer Science (DMTCS), 2020. - pp. 1135-1146
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Complete quadrics and linear spaces of symmetric matrices [In: Lefschetz properties in algebra, geometry and combinatorics ; 27 September - 3 October 2020 ; report no. 31/2020]
In: Oberwolfach reports, 17 (2020) 4, pp. 1577-1579inJournal
2020
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Divisor class groups of rational trinomial varieties
In: Journal of algebra, 542 (2020), pp. 43-64inJournal
2020
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Representability of c-arrangements [In: Discrete geometry ; 20 September - 26 September 2020 ; report no. 30/2020]
In: Oberwolfach reports, 17 (2020) 2/3, pp. 1516-1517inJournal
2019
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Semistable reduction in characteristic 0
In: Séminaire lotharingien de combinatoire, 82B (2019), p. 25inJournal
2019
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Discrete Gaussian distributions via theta functions
In: SIAM journal on applied algebra and geometry, 3 (2019) 1, pp. 1-30inJournal
2019
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Varieties of signature tensors
In: Forum of mathematics / Sigma, 7 (2019), e10inJournal
2019
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Smooth centrally symmetric polytopes in dimension 3 are IDP
In: Annals of combinatorics, 23 (2019) 2, pp. 255-262inJournal
2019
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Pencil-based algorithms for tensor rank decomposition are not stable
In: SIAM journal on matrix analysis and applications, 40 (2019) 2, pp. 739-773inJournal
2019
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The geometry of Gaussoids
In: Foundations of computational mathematics, 19 (2019) 4, pp. 775-812inJournal
2019
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The slack realization space of a matroid
In: Algebraic combinatorics, 2 (2019) 4, pp. 663-681Preprint
2019
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Voronoi cells in metric algebraic geometry of plane curves
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2019
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How many eigenvalues of a random symmetric rensor are real?
In: Transactions of the American Mathematical Society, 372 (2019) 11, pp. 7857-7887inJournal
2019
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Random spectrahedra
In: SIAM journal on optimization, 29 (2019) 4, pp. 2608-2624inJournal
2019
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Nonexistence of torically maximal hypersurfaces
In: St. Petersburg mathematical journal, 30 (2019) 1, pp. 15-23inJournal
2019
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A rough path perspective on renormalization
In: Journal of functional analysis, 277 (2019) 11, p. 108283inJournal
2019
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Tritangents and their space sextics
In: Journal of algebra, 538 (2019), pp. 290-311inJournal
2019
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Schottky algorithms : classical meets tropical
In: Mathematics of computation, 88 (2019) 319, pp. 2541-2558inJournal
2019
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Computing convex hulls of trajectories
In: Revista de la Unión Matemática Argentina, 60 (2019) 2, pp. 637-662Preprint
2019
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The \(\mathscr h^*\)-polynomial of the order polytope of the zig-zag poset
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The parabolic Anderson model on Riemann surfaces
In: Probability theory and related fields, 174 (2019) 1-2, pp. 369-444inJournal
2019
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Invariants of multidimensional time series based on their iterated-integral signature
In: Acta applicandae mathematicae, 164 (2019) 1, pp. 83-122inJournal
2019
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Examples of hypergeometric twistor \(D\)-modules
In: Algebra and number theory, 13 (2019) 6, pp. 1415-1442Preprint
2019
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Toric degenerations of cubic surfaces [Supplementary resources to 'Towards classifying toric degenerations of cubic surfaces']
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2019
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Statistics of Gaussians on local fields and their tropicalizations
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2019
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Collisions of fat points and applications to interpolation theory
In: Journal of algebra, 534 (2019), pp. 100-128inJournal
2019
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The rough Veronese variety
In: Linear algebra and its applications, 583 (2019), pp. 282-299Preprint
2019
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Injection dimensions of projective varieties
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2019
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Rational invariants of even ternary forms under the orthogonal group
In: Foundations of computational mathematics, 19 (2019) 6, pp. 1315-1361inJournal
2019
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Positive semidefinite univariate matrix polynomials
In: Mathematische Zeitschrift, 292 (2019) 1-2, pp. 83-101inJournal
2019
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Computing images of polynomial maps
In: Advances in computational mathematics, 45 (2019) 5/6, pp. 2845-2865Preprint
2019
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Nonlinear algebra via tensegrity structures
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In: Mathematika : a journal of pure and applied mathematics, 65 (2019) 3, pp. 763-784inJournal
2019
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Offset hypersurfaces and persistent homology of algebraic varieties
In: Computer aided geometric design, 74 (2019), p. 101767inJournal
2019
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Clutching and gluing in tropical and logarithmic geometry
In: Journal of pure and applied algebra, 223 (2019) 5, pp. 2036-2061inJournal
2019
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The gfanlib interface in Singular and its applications
In: Journal of software for algebra and geometry, 9 (2019) 1, pp. 81-87inJournal
2019
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Hypergraph Laplace operators for chemical reaction networks
In: Advances in mathematics, 351 (2019), pp. 870-896Academic
2019
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Algebraic methods for dynamical systems and optimisation
Dissertation, Universität Leipzig, 2019inJournal
2019
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Sixty-four curves of degree six
In: Experimental mathematics, 28 (2019) 2, pp. 132-150inJournal
2019
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A higher-dimensional homologically persistent skeleton
In: Advances in applied mathematics, 102 (2019), pp. 113-142inJournal
2019
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Symmetric polynomials in tropical algebra semirings
In: Journal of symbolic computation, 93 (2019), pp. 100-119inJournal
2019
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Tropical coordinates on the space of persistence barcodes
In: Foundations of computational mathematics, 19 (2019) 1, pp. 101-129inJournal
2019
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When is a polynomial ideal binomial after an ambient automorphism?
In: Foundations of computational mathematics, 19 (2019) 6, pp. 1363-1385Preprint
2019
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The unirational components of the strata of genus \(11\) curves with several pencils of degree \(6\) in \(\mathcal{M}_{11}\)
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On the connectivity of the hyperbolicity region of irreducible polynomials
In: Advances in geometry, 19 (2019) 2, pp. 231-233inJournal
2019
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The Chow form of a reciprocal linear space
In: The Michigan mathematical journal, 68 (2019) 4, pp. 831-858inJournal
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Totally real theta characteristics
In: Annali di matematica pura ed applicata, 198 (2019) 6, pp. 2141-2150inJournal
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A numerical transcendental method in algebraic geometry : computation of Picard groups and related invariants
In: SIAM journal on applied algebra and geometry, 3 (2019) 4, pp. 559-584Preprint
2019
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Towards finding hay in a haystack : explicit tensors of border rank greater than \(2.02m\) in \(C^{m}\otimes C^{m}\otimes C^{m}\)
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Semistable reduction in characteristic zero [In: Geometric, algebraic, and topological combinatorics ; 25 August - 31 August 2019 ; report no. 39/2019]
In: Oberwolfach reports, 16 (2019) 3, pp. 2441-2442inJournal
2019
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Verlinde bundles of families of hypersurfaces and their jumping lines
In: Beiträge zur Algebra und Geometrie, 60 (2019) 3, pp. 437-444inJournal
2019
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A tensor version of the quantum Wielandt theorem
In: SIAM journal on matrix analysis and applications, 40 (2019) 3, pp. 1125-1130inJournal
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Can local cohomology prevent injections? [In: Singularities and homological aspects of commutative algebra ; 10 February - 16 February 2019 ; report no. 6/2019]
In: Oberwolfach reports, 16 (2019) 1, pp. 443-445inJournal
2019
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Phylogenetic complexity of the Kimura 3-parameter model
In: Advances in mathematics, 343 (2019), pp. 640-680inJournal
2019
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Quantum version of Wielandt's inequality revisited
In: IEEE transactions on information theory, 65 (2019) 8, pp. 5239-5242inJournal
2019
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Symmetric edge polytopes [In: Toric geometry ; 22 September - 28 September 2019 ; report no. 43/2019]
In: Oberwolfach reports, 16 (2019) 3, pp. 2710-2711inJournal
2019
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Tropical sufficient statistics for persistent homology
In: SIAM journal on applied algebra and geometry, 3 (2019) 2, pp. 337-371Preprint
2019
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Tropical principal component analysis on the space of ultrametrics
inJournal
2019
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Learning paths from signature tensors
In: SIAM journal on matrix analysis and applications, 40 (2019) 2, pp. 394-416inJournal
2019
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Computing zero-dimensional tropical varieties [In: Tropical geometry : new directions ; 22 September - 28 September 2019 ; report no. 21/2019]
In: Oberwolfach reports, 16 (2019) 2, pp. 1276-1277inJournal
2019
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Decoupled molecules with binding polynomials of bidegree \((n,2)\)
In: Journal of mathematical biology, 78 (2019) 4, pp. 879-898inJournal
2019
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Geometry of log-concave density estimation
In: Discrete and computational geometry, 61 (2019) 1, pp. 136-160inJournal
2019
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The Hopf monoid of ordered matroids and shuffles [In: Geometric, algebraic, and topological combinatorics ; 25 August - 31 August 2019 ; report no. 39/2019]
In: Oberwolfach reports, 16 (2019) 3, pp. 2408-2409Preprint
2019
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D-modules and holonomic functions
inJournal
2019
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Computing periods of hypersurfaces
In: Mathematics of computation, 88 (2019) 320, pp. 2987-3022inJournal
2019
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Adventures in mentoring
In: Notices of the American Mathematical Society, 66 (2019) 8, pp. 1300-1302inJournal
2019
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Real rank boundaries and loci of forms
In: Linear and multilinear algebra, 67 (2019) 7, pp. 1404-1419inJournal
2019
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Balanced non-partitionable and non-shellable complexes [In: Geometric, algebraic, and topological combinatorics ; 25 August - 31 August 2019 ; report no. 39/2019]
In: Oberwolfach reports, 16 (2019) 3, pp. 2412-2413inJournal
2019
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Tropical principal component analysis and its application to phylogenetics
In: Bulletin of mathematical biology, 81 (2019) 2, pp. 568-597Preprint
2018
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Log smoothness and polystability over valuation rings
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2018
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The Euclidean distance degree of smooth complex projective varieties
In: Algebra and number theory, 12 (2018) 8, pp. 2005-2032inJournal
2018
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Algebraic identifiability of Gaussian mixtures
In: International mathematics research notices, 2018 (2018) 21, pp. 6556-6580inJournal
2018
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A Riemannian trust region method for the canonical tensor rank approximation problem
In: SIAM journal on optimization, 28 (2018) 3, pp. 2435-2465inJournal
2018
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Convergence analysis of Riemannian Gauss-Newton methods and its connection with the geometric condition number
In: Applied mathematics letters, 78 (2018), pp. 42-50inBook
2018
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HomotopyContinuation.jl : a package for homotopy continuation in Julia
In: Mathematical software ICMS 2018 : 6th international conference, South Bend, IN, USA, July 24-27, 2018, proceedings / James Davenport... (eds.)Cham : Springer, 2018. - pp. 458-465
(Lecture notes in computer science ; 10931)
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2018
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Learning algebraic varieties from samples
In: Revista matematica complutense, 31 (2018) 3, pp. 545-593inJournal
2018
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On the geometry of the set of symmetric matrices with repeated eigenvalues
In: Arnold mathematical journal, 4 (2018) 3-4, pp. 423-443inJournal
2018
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The condition number of join decompositions
In: SIAM journal on matrix analysis and applications, 39 (2018) 1, pp. 287-309inBook
2018
Introduction to 'Schubert varieties, equivariant cohomology and characteristic classes, IMPANGA15 volume'
In: Schubert varieties, equivariant cohomology and characteristic classes : impanga 15 / Jarosław Buczyński... (eds.)Zürich : European Mathematical Society, 2018. - pp. 1-7
(EMS series of congress reports)
Book
2018
Schubert varieties, equivariant cohomology and characteristic classes : impanga 15
Zürich : European Mathematical Society, 2018. - vi, 348(EMS series of congress reports)
ISBN: 978-3-03719-182-8, ISBN: 978-3-03719-682-3
Book
2018
Chain event graphs
Boca Raton : CRC Press, 2018. - xx, 233(Chapman and Hall/CRC computer science and data analysis)
ISBN: 978-1-4987-2960-4, ISBN: 978-1-4987-2961-1
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2018
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Discovery of statistical equivalence classes using computer algebra
In: International journal of approximate reasoning, 95 (2018), pp. 167-184inJournal
2018
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The poset of rational cones
In: Pacific journal of mathematics, 292 (2018) 1, pp. 103-115inJournal
2018
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The Chern-Mather class of the multiview variety
In: Communications in algebra, 46 (2018) 6, pp. 2488-2499inBook
2018
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Certifying reality of projections
In: Mathematical software ICMS 2018 : 6th international conference, South Bend, IN, USA, July 24-27, 2018, proceedings / James Davenport... (eds.)Cham : Springer, 2018. - pp. 200-208
(Lecture notes in computer science ; 10931)
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2018
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On the anticanonical complex
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2018
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Computing tropical points and tropical links
In: Discrete and computational geometry, 60 (2018) 3, pp. 627-645inJournal
2018
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Lefschetz (1,1)-theorem in tropical geometry
In: ÔEpijournal de géométrie algébrique, 2 (2018), p. 11inJournal
2018
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Obstructions to combinatorial formulas for plethysm
In: The electronic journal of combinatorics, 25 (2018) 1, P1.41Preprint
2018
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Attainable regions of dynamical systems
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2018
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Changing views on curves and surfaces
In: Acta mathematica Vietnamica, 43 (2018) 1, pp. 1-29inJournal
2018
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On fully real eigenconfigurations of tensors
In: SIAM journal on applied algebra and geometry, 2 (2018) 2, pp. 339-347inBook
2018
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Real space sextics and their tritangents
In: ISSAC '18 proceedings of the 43rd international symposium on symbolic and algebraic computation ; New York, USA, July 16-19, 2018New York : ACM, 2018. - pp. 247-254
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2018
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A zonotope and a product of two simplices with disconnected flip graphs
In: Discrete and computational geometry, 59 (2018) 4, pp. 810-842inJournal
2018
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Flexible affine cones and flexible coverings
In: Mathematische Zeitschrift, 290 (2018) 3-4, pp. 1457-1478inBook
2018
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Selected topics on toric varieties
In: The 50th anniversary of Gröbner bases : proceedings of the 8th Mathematical Society of Japan Seasonal Institute (MSJ SI 2015) : July 1-10, 2015, at Hotel Nikko Osaka / Takayuki Hibi (ed.)Tokyo : Mathematical Society of Japan, 2018. - pp. 207-252
(Advanced studies in pure mathematics ; 77)
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2018
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Spaces of sums of powers and real rank boundaries
In: Beiträge zur Algebra und Geometrie, 59 (2018) 4, pp. 645-663inJournal
2018
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Tensoren und ihre Zerlegungen
In: Jahrbuch der Max-Planck-Gesellschaft, 2018 (2018), Forschungsbericht - Max-Planck-Institut für Mathematik in den NaturwissenschafteninJournal
2018
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Mixtures and products in two graphical models
In: Journal of algebraic statistics, 9 (2018) 1, pp. 1-20inJournal
2018
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Plethysm and fast matrix multiplication
In: Comptes rendus mathematique, 356 (2018) 1, pp. 52-55inBook
2017
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Equations and tropicalization of Enriques surfaces
In: Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / Bernd Sturmfels... (eds.)New York : Springer, 2017. - pp. 181-200
(Fields Institute communications ; 80)
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2017
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From curves to tropical Jacobians and back
In: Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / Bernd Sturmfels... (eds.)New York : Springer, 2017. - pp. 21-45
(Fields Institute communications ; 80)
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2017
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The degree of \(\text{SO}(n, \mathbb{C})\)
In: Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / Bernd Sturmfels... (eds.)New York : Springer, 2017. - pp. 229-246
(Fields Institute communications ; 80)
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2017
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The Koszul property for spaces of quadrics of codimension three
In: Journal of algebra, 490 (2017), pp. 256-282inJournal
2017
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Backward stochastic differential equations with Young drift
In: Probability, uncertainty and quantitative risk, 2 (2017), p. 5inJournal
2017
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The Kardar-Parisi-Zhang equation as scaling limit of weakly asymmetric interacting Brownian motions
In: Communications in mathematical physics, 354 (2017) 2, pp. 549-589inBook
2017
The polymake interface in singular and its applications
In: Computer algebra in scientific computing : 19th international workshop, CASC 2017, Beijing, China, September 18-22, 2017, proceedings / Vladimir P. Gerdt... (eds.)Cham : Springer, 2017. - pp. 109-117
(Lecture notes in computer science ; 10490)
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2017
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Tritangent planes to space sextics : the algebraic and tropical stories
In: Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / Bernd Sturmfels... (eds.)New York : Springer, 2017. - pp. 47-63
(Fields Institute communications ; 80)
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2017
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Tropicalizing abelian covers of algebraic curves
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2017
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Interlacing Ehrhart polynomials of reflexive polytopes
In: Selecta mathematica, 23 (2017) 4, pp. 2977-2998inBook
2017
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A clever elimination strategy for efficient minimal solvers
In: 30th IEEE conference on computer vision and pattern recognition CVPR 2017, 21-26 July 2017 Honolulu, Hawaii : proceedings / Rama Chellappa... (eds.)Piscataway, NJ : IEEE, 2017. - pp. 3605-3614
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2017
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Hyperbolicity in higher codimension [In: Real algebraic geometry with a view toward moment problems and optimization ; 5 March - 11 March 2017 ; report no. 14/2017]
In: Oberwolfach reports, 14 (2017) 1, pp. 806-808inBook
2017
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Towards a tropical Hodge bundle
In: Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / Bernd Sturmfels... (eds.)New York : Springer, 2017. - pp. 353-368
(Fields Institute communications ; 80)
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2017
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Real rank two geometry
In: Journal of algebra, 484 (2017), pp. 310-333Preprint
2017
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Superforms and tropical cohomology
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2017
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Fitness, apprenticeship, and polynomials
In: Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program / Bernd Sturmfels... (eds.)New York : Springer, 2017. - pp. 1-19
(Fields Institute communications ; 80)
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2017
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Non-Levi branching rules via Littelmann paths : a new approach [In: Algebraic groups ; 23 April - 29 April 2017 ; report no. 21/2017]
In: Oberwolfach reports, 14 (2017) 2, pp. 1327-1329inJournal
2017
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On a conjecture by Naito-Sagaki : Littelmann paths and Littlewood-Richardson Sundaram tableaux
In: Séminaire lotharingien de combinatoire, 78B (2017), p. 53Preprint
2017
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On Sundaram's full bijection
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2017
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Reciprocal linear spaces and their Chow forms [In: Real algebraic geometry with a view toward moment problems and optimization ; 5 March - 11 March 2017 ; report no. 14/2017]
In: Oberwolfach reports, 14 (2017) 1, pp. 839-841Open Access Types
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