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Bernd Sturmfels - Publications

Explore the scholarly works of Bernd Sturmfels. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover the latest research through preprints.


Book
2024 Journal Open Access
Paul Breiding, Kathlén Kohn and Bernd Sturmfels

Metric algebraic geometry

Cham : Birkhäuser, 2024.
(Oberwolfach Seminars ; 53)
ISBN: 978-3-031-51461-6, ISBN: 978-3-031-51462-3
inJournal
2024 Repository Open Access
Aldo Conca, Simone Naldi, Giorgio Ottaviani and Bernd Sturmfels

Taylor polynomials of rational functions

In: Acta mathematica Vietnamica, 49 (2024) 1, pp. 19-37
Preprint
2024 Repository Open Access
Karel Devriendt, Hannah Friedman, Bernhard Reinke and Bernd Sturmfels

The two lives of the Grassmannian

Preprint
2024 Repository Open Access
Nick Early, Anaëlla Pfister and Bernd Sturmfels

Minimal kinematics on \(\mathcal{M}_{0,n}\)

Preprint
2024 Repository Open Access
Yassine El Maazouz, Anaëlla Pfister and Bernd Sturmfels

Spinor-Helicity varieties

inJournal
2024 Repository Open Access
Hannah Friedman, Bernd Sturmfels and Maksym Zubkov

Likelihood geometry of determinantal point processes

In: Algebraic statistics, 15 (2024) 1, pp. 15-25
inJournal
2024 Repository Open Access
Marvin Anas Hahn, Gabriele Nebe, Mima Stanojkovski and Bernd Sturmfels

Subspaces fixed by a nilpotent matrix

In: Orbita mathematicae, 1 (2024) 1, pp. 1-15
Preprint
2024 Repository Open Access
Mario Kummer, Bernd Sturmfels and Raluca Vlad

Maximal Mumford curves from planar graphs

inJournal
2024 Journal Open Access
Hana Melánová, Bernd Sturmfels and Rosa Winter

Recovery from power sums

In: Experimental mathematics, 33 (2024) 2, pp. 225-234
Preprint
2024 Repository Open Access
Elizabeth Pratt and Bernd Sturmfels

The Chow-Lam form

inJournal
2024 Repository Open Access
Bernd Sturmfels, Simon Telen, François-Xavier Vialard and Max von Renesse

Toric geometry of entropic regularization

In: Journal of symbolic computation, 120 (2024), p. 102221
inJournal
2023 Repository Open Access
Daniele Agostini, Claudia Fevola, Yelena Mandelshtam and Bernd Sturmfels

KP solitons from tropical limits

In: Journal of symbolic computation, 114 (2023), pp. 282-301
inJournal
2023 Repository Open Access
Daniele Agostini, Taylor Brysiewicz, Claudia Fevola, Lukas Kühne, Bernd Sturmfels and Simon Telen

Likelihood degenerations

In: Advances in mathematics, 414 (2023), p. 108863
inJournal
2023 Journal Open Access
Daniele Agostini, Hannah Markwig, Clemens Nollau, Victoria Schleis, Javier Sendra-Arranz and Bernd Sturmfels

Recovery of plane curves from branch points

In: Discrete and computational geometry, (2023)
inJournal
2023 Journal Open Access
Rida Ait El Manssour, Marc Härkönen and Bernd Sturmfels

Linear PDE with constant coefficients

In: Glasgow mathematical journal, 65 (2023) S1, S2-S27
inBook
2023 Repository Open Access
Yulia Alexandr, Joe Kileel and Bernd Sturmfels

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
inJournal
2023 Repository Open Access
Michael Borinsky, Anna-Laura Sattelberger, Bernd Sturmfels and Simon Telen

Bayesian integrals on toric varieties

In: SIAM journal on applied algebra and geometry, 7 (2023) 1, pp. 77-103
Preprint
2023 Repository Open Access
Viktoriia Borovik, Bernd Sturmfels and Svala Sverrisdóttir

Coupled cluster degree of the Grassmannian

inJournal
2023 Repository Open Access
Yairon Cid-Ruiz and Bernd Sturmfels

Primary decomposition with differential operators

In: International mathematics research notices, 2023 (2023) 14, pp. 12119-12147
Preprint
2023 Repository Open Access
Nick Early, Alheydis Geiger, Marta Panizzut, Bernd Sturmfels and Claudia He Yun

Positive del Pezzo geometry

inJournal
2023 Journal Open Access
Alheydis Geiger, Sachi Hashimoto, Bernd Sturmfels and Raluca Vlad

Self-dual matroids from canonical curves

In: Experimental mathematics, (2023)
inJournal
2023 Journal Open Access
Marc Härkönen, Jonas Hirsch and Bernd Sturmfels

Making waves

In: La matematica, 2 (2023) 3, pp. 593-615
inJournal
2023 Journal Open Access
Thinh P. Le, Chiara Meroni, Bernd Sturmfels, Reinhard F. Werner and Timo Ziegler

Quantum correlations in the minimal scenario

In: Quantum : the open journal for quantum science, 7 (2023), pp. 1-59
inJournal
2023 Repository Open Access
Laurent Manivel, Bernd Sturmfels and Svala Sverrisdóttir

Four-dimensional Lie algebras revisited

In: Journal of lie theory, 33 (2023) 3, pp. 703-712
inJournal
2023 Journal Open Access
Dimitrii Pavlov, Bernd Sturmfels and Simon Telen

Gibbs manifolds

In: Information geometry, (2023)
Preprint
2023 Repository Open Access
Kemal Rose, Bernd Sturmfels and Simon Telen

Tropical implicitization revisited

Preprint
2023 Repository Open Access
Bernd Sturmfels, Fabian Faulstich and Svala Sverrisdóttir

Algebraic varieties in quantum chemistry

inBook
2023 Journal Open Access
Bernd Sturmfels

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
inBook
2022 Journal Open Access
Tobias Boege, Sonja Petrović and Bernd Sturmfels

Marginal independence models

In: ISSAC '22 proceedings of the international symposium on symbolic and algebraic computation ; Villeneuve-d'Ascq, France ; July 4 - 7, 2022
New York : ACM, 2022. - pp. 263-271
inJournal
2022 Repository Open Access
Diego Cifuentes, Kristian Ranestad, Bernd Sturmfels and Madeleine Weinstein

Voronoi cells of varieties

In: Journal of symbolic computation, 109 (2022), pp. 351-366
inJournal
2022 Journal Open Access
Yassine El Maazouz, Marvin Anas Hahn, Gabriele Nebe, Mima Stanojkovski and Bernd Sturmfels

Orders and polytropes : matrix algebras from valuations

In: Beiträge zur Algebra und Geometrie, 63 (2022) 3, pp. 515-531
inBook
2022 Repository Open Access
Khazhgali Kozhasov, Mateusz Michałek and Bernd Sturmfels

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
inJournal
2022 Journal Open Access
İrem Portakal and Bernd Sturmfels

Geometry of dependency equilibria

In: Rendiconti dell'Istituto di Matematica dell'Università di Trieste, 54 (2022), p. 5
inJournal
2022 Repository Open Access
Elina Robeva, Bernd Sturmfels and Caroline Uhler

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. 645-645
inJournal
2021 Repository Open Access
Daniele Agostini, Türkü Özlüm Celik and Bernd Sturmfels

The Dubrovin threefold of an algebraic curve

In: Nonlinearity, 34 (2021) 6, pp. 3783-3812
inJournal
2021 Journal Open Access
Daniele Agostini, Türkü Özlüm Celik, Julia Struwe and Bernd Sturmfels

Theta surfaces

In: Vietnam journal of mathematics, 49 (2021) 2, pp. 319-347
inJournal
2021 Repository Open Access
Gabriele Baletti, Marta Panizzut and Bernd Sturmfels

K3 polytopes and their quartic surfaces

In: Advances in geometry, 21 (2021) 1, pp. 85-98
inJournal
2021 Journal Open Access
Arthur Bik, Henrik Eisenmann and Bernd Sturmfels

Jordan algebras of symmetric matrices

In: Le Matematiche, 76 (2021) 2, pp. 337-353
inJournal
2021 Journal Open Access
Taylor Brysiewicz, Claudia Fevola and Bernd Sturmfels

Tangent quadrics in real 3-space

In: Le Matematiche, 76 (2021) 2, pp. 355-367
inJournal
2021 Repository Open Access
Türkü Özlüm Celik, Asgar Jamneshan, Guido Montúfar, Bernd Sturmfels and Lorenzo Venturello

Wasserstein distance to independence models

In: Journal of symbolic computation, 104 (2021), pp. 855-873
inJournal
2021 Repository Open Access
Yairon Cid-Ruiz, Roser Homs and Bernd Sturmfels

Primary ideals and their differential equations

In: Foundations of computational mathematics, 21 (2021) 5, pp. 1363-1399
inJournal
2021 Repository Open Access
Eliana Duarte, Orlando Marigliano and Bernd Sturmfels

Discrete statistical models with rational maximum likelihood estimator

In: Bernoulli, 27 (2021) 1, pp. 135-154
inJournal
2021 Journal Open Access
Claudia Fevola, Yelena Mandelshtam and Bernd Sturmfels

Pencils of quadrics : old and new

In: Le Matematiche, 76 (2021) 2, pp. 319-335
inJournal
2021 Journal Open Access
Yuhan Jiang and Bernd Sturmfels

Bad projections of the PSD cone

In: Collectanea mathematica, 72 (2021) 2, pp. 261-280
inJournal
2021 Journal Open Access
Michael Joswig, Marta Panizzut and Bernd Sturmfels

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. 1217-1217
Book
2021
Mateusz Michałek and Bernd Sturmfels

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
inJournal
2021 Repository Open Access
Elina Robeva, Bernd Sturmfels, Ngoc Mai Tran and Caroline Uhler

Maximum likelihood estimation for totally positive log-concave densities

In: Scandinavian journal of statistics, 48 (2021) 3, pp. 817-844
inJournal
2021 Repository Open Access
Bernd Sturmfels and Simon Telen

Likelihood equations and scattering amplitudes

In: Algebraic statistics, 12 (2021) 2, pp. 167-186
inJournal
2020 Repository Open Access
Michael F. Adamer, András Christian Lőrincz, Anna-Laura Sattelberger and Bernd Sturmfels

Algebraic analysis of rotation data

In: Algebraic statistics, 11 (2020) 2, pp. 189-211
inJournal
2020 Journal Open Access
Paul Breiding, Bernd Sturmfels and Sascha Timme

3264 conics in a second

In: Notices of the American Mathematical Society, 67 (2020) 1, pp. 30-37
inBook
2020 Repository Open Access
Türkü Özlüm Celik, Asgar Jamneshan, Guido Montúfar, Bernd Sturmfels and Lorenzo Venturello

Optimal transport to a variety

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
(Lecture notes in computer science ; 11989)
inJournal
2020 Journal Open Access
Diego Cifuentes, Corey Harris and Bernd Sturmfels

The geometry of SDP-exactness in quadratic optimization

In: Mathematical programming, 182 (2020) 1/2, pp. 399-428
inJournal
2020 Journal Open Access
Michael Joswig, Marta Panizzut and Bernd Sturmfels

The Schläfli fan

In: Discrete and computational geometry, 64 (2020) 2, pp. 355-381
inJournal
2020 Repository Open Access
Kathlén Kohn, Boris Shapiro and Bernd Sturmfels

Moment varieties of measures on polytopes

In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 21 (2020), pp. 739-770
inJournal
2020 Journal Open Access
Marta Panizzut, Emre Can Sertöz and Bernd Sturmfels

An octanomial model for cubic surfaces

In: Le Matematiche, 75 (2020) 2, pp. 517-536
inJournal
2020 Journal Open Access
Kristian Ranestad and Bernd Sturmfels

Twenty-seven questions about the cubic surface

In: Le Matematiche, 75 (2020) 2, pp. 411-424
inJournal
2020 Journal Open Access
Bernd Sturmfels, Caroline Uhler and Piotr Zwiernik

Brownian motion tree models are toric

In: Kybernetika, 56 (2020) 6, pp. 1154-1175
inJournal
2020 Repository Open Access
Bernd Sturmfels, Sascha Timme and Piotr Zwiernik

Estimating linear covariance models with numerical nonlinear algebra

In: Algebraic statistics, 11 (2020) 1, pp. 31-52
inBook
2020 Repository Open Access
Bernd Sturmfels, Emmanuel Tsukerman and Lauren Williams

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, 2016
Nancy, France : Discrete Mathematics & Theoretical Computer Science (DMTCS), 2020. - pp. 1135-1146
(DMTCS proceedings)
inJournal
2019 Journal Open Access
Carlos Améndola, Peter K. Friz and Bernd Sturmfels

Varieties of signature tensors

In: Forum of mathematics / Sigma, 7 (2019), e10
inJournal
2019 Repository Open Access
Tobias Boege, Alessio D'Alì, Thomas Kahle and Bernd Sturmfels

The geometry of Gaussoids

In: Foundations of computational mathematics, 19 (2019) 4, pp. 775-812
inJournal
2019 Repository Open Access
Lynn Chua, Mario Kummer and Bernd Sturmfels

Schottky algorithms : classical meets tropical

In: Mathematics of computation, 88 (2019) 319, pp. 2541-2558
inJournal
2019 Journal Open Access
Daniel Ciripoi, Nidhi Kaihnsa, Andreas Löhne and Bernd Sturmfels

Computing convex hulls of trajectories

In: Revista de la Unión Matemática Argentina, 60 (2019) 2, pp. 637-662
inJournal
2019 Repository Open Access
Nidhi Kaihnsa, Mario Kummer, Daniel Plaumann, Mahsa Sayyary Namin and Bernd Sturmfels

Sixty-four curves of degree six

In: Experimental mathematics, 28 (2019) 2, pp. 132-150
inJournal
2019 Repository Open Access
Max Pfeffer, Anna Seigal and Bernd Sturmfels

Learning paths from signature tensors

In: SIAM journal on matrix analysis and applications, 40 (2019) 2, pp. 394-416
inJournal
2019 Repository Open Access
Elina Robeva, Bernd Sturmfels and Caroline Uhler

Geometry of log-concave density estimation

In: Discrete and computational geometry, 61 (2019) 1, pp. 136-160
Preprint
2019 Repository Open Access
Anna-Laura Sattelberger and Bernd Sturmfels

D-modules and holonomic functions

inJournal
2019 Journal Open Access
Bernd Sturmfels

Adventures in mentoring

In: Notices of the American Mathematical Society, 66 (2019) 8, pp. 1300-1302
inJournal
2018 Repository Open Access
Carlos Améndola, Kristian Ranestad and Bernd Sturmfels

Algebraic identifiability of Gaussian mixtures

In: International mathematics research notices, 2018 (2018) 21, pp. 6556-6580
inJournal
2018 Journal Open Access
Paul Breiding, Sara Kališnik Verovšek, Bernd Sturmfels and Madeleine Weinstein

Learning algebraic varieties from samples

In: Revista matematica complutense, 31 (2018) 3, pp. 545-593
inJournal
2018 Repository Open Access
Martin Helmer and Bernd Sturmfels

Nearest points on toric varieties

In: Mathematica Scandinavica, 122 (2018) 2, pp. 213-238
inJournal
2018 Repository Open Access
Joe Kileel, Zuzana Kukelova, Tomas Pajdla and Bernd Sturmfels

Distortion varieties

In: Foundations of computational mathematics, 18 (2018) 4, pp. 1043-1071
inJournal
2018 Repository Open Access
Kathlén Kohn, Bernd Sturmfels and Matthew Trager

Changing views on curves and surfaces

In: Acta mathematica Vietnamica, 43 (2018) 1, pp. 1-29
inBook
2018 Repository Open Access
Avinash Kulkarni, Yue Ren, Mahsa Sayyary Namin and Bernd Sturmfels

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, 2018
New York : ACM, 2018. - pp. 247-254
inJournal
2018 Repository Open Access
Mateusz Michałek and Bernd Sturmfels

Tensoren und ihre Zerlegungen

In: Jahrbuch der Max-Planck-Gesellschaft, 2018 (2018), Forschungsbericht - Max-Planck-Institut für Mathematik in den Naturwissenschaften
inBook
2017 Repository Open Access
Hirotachi Abo, Anna Seigal and Bernd Sturmfels

Eigenconfigurations of tensors

In: Algebraic and geometric methods in discrete mathematics / Heather A. Harrington... (eds.)
Providence, Rhode Island : American Mathematical Society, 2017. - pp. 1-25
(Contemporary mathematics ; 685)
inJournal
2017 Repository Open Access
Sameer Agarwal, Hon-Leung Lee, Bernd Sturmfels and Rekha R. Thomas

On the existence of epipolar matrices

In: International journal of computer vision, 121 (2017) 3, pp. 403-415
inJournal
2017 Repository Open Access
Mathias Drton, Thomas Kahle, Bernd Sturmfels and Caroline Uhler

Algebraic statistics : 16 April - 22 April 2017 ; report no. 20/2017

In: Oberwolfach reports, 14 (2017) 2, pp. 1207-1279
inBook
2017 Repository Open Access
Kaie Kubjas, Pablo A. Parrilo and Bernd Sturmfels

How to flatten a soccer ball

In: Homological and computational methods in commutative algebra : dedicated to Winfried Bruns on the occasion of his 70th birthday / Aldo Conca... (eds.)
Cham : Springer, 2017. - pp. 141-162
(Springer INdAM series ; 20)
inBook
2017 Repository Open Access
Zuzana Kukelova, Joe Kileel, Bernd Sturmfels and Tomas Pajdla

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
inJournal
2017 Repository Open Access
Bo Lin, Bernd Sturmfels, Xiaoxian Tang and Ruriko Yoshida

Convexity in tree spaces

In: SIAM journal on discrete mathematics, 31 (2017) 3, pp. 2015-2038
inJournal
2017 Journal Open Access
Mateusz Michałek, Hyunsuk Moon, Bernd Sturmfels and Emanuele Ventura

Real rank geometry of ternary forms

In: Annali di matematica pura ed applicata, 196 (2017) 3, pp. 1025-1054
inJournal
2017 Repository Open Access
Jean Ponce, Bernd Sturmfels and Matthew Trager

Congruences and concurrent lines in multi-view geometry

In: Advances in applied mathematics, 88 (2017), pp. 62-91
inJournal
2017 Repository Open Access
Anna Seigal, Portia M. Mira, Bernd Sturmfels and Miriam Barlow

Does antibiotic resistance evolve in hospitals?

In: Bulletin of mathematical biology, 79 (2017) 1, pp. 191-208
inJournal
2017 Repository Open Access
Anna Seigal and Bernd Sturmfels

Real rank two geometry

In: Journal of algebra, 484 (2017), pp. 310-333
Book
2017
Gregory G. Smith and Bernd Sturmfels (Eds.)

Combinatorial algebraic geometry : selected papers from the 2016 apprenticeship program

New York : Springer, 2017. - viii, 390
(Fields Institute communications ; 80)
ISBN: 978-1-4939-7486-3, ISBN: 978-1-4939-7485-6
inBook
2017 Repository Open Access
Bernd Sturmfels

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)
inJournal
2017 Journal Open Access
Bernd Sturmfels

Message from the editor-in-chief

In: SIAM journal on applied algebra and geometry, 1 (2017) 1, pp. 1-1
inJournal
2017 Repository Open Access
Bernd Sturmfels

The Hurwitz form of a projective variety

In: Journal of symbolic computation, 79 (2017) 1, pp. 186-196
inBook
2017 Repository Open Access
Matthew Trager, Bernd Sturmfels, John Canny, Martial Hebert and Jean Ponce

General models for rational cameras and the case of two-slit projections

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. 2520-2528
inBook
2016 Repository Open Access
Carlos Améndola, Mathias Drton and Bernd Sturmfels

Maximum likelihood estimates for Gaussian mixtures are transcendental

In: Mathematical aspects of computer and information sciences : 6th international conference, MACIS 2015, Berlin, Germany, November 11-13, 2015, revised selected papers / Ilias S. Kotsireas... (eds.)
Cham : Springer, 2016. - pp. 579-590
(Lecture notes in computer science ; 9582)
inJournal
2016 Journal Open Access
Carlos Améndola, Jean-Charles Faugère and Bernd Sturmfels

Moment varieties of Gaussian mixtures

In: Journal of algebraic statistics, 7 (2016) 1, pp. 14-28
inBook
2016 Repository Open Access
Peter Bürgisser, Kathlén Kohn, Pierre Lairez and Bernd Sturmfels

Computing the Chow variety of quadratic space curves

In: Mathematical aspects of computer and information sciences : 6th international conference, MACIS 2015, Berlin, Germany, November 11-13, 2015, revised selected papers / Ilias S. Kotsireas... (eds.)
Cham : Springer, 2016. - pp. 130-136
(Lecture notes in computer science ; 9582)
inJournal
2016 Repository Open Access
Jan Draisma, Emil Horobet, Giorgio Ottaviani, Bernd Sturmfels and Rekha R. Thomas

The Euclidean distance degree of an algebraic variety

In: Foundations of computational mathematics, 16 (2016) 1, pp. 99-149
inJournal
2016 Repository Open Access
Elizabeth Gross, Heather A. Harrington, Zvi Rosen and Bernd Sturmfels

Algebraic systems biology : a case study for the Wnt pathway

In: Bulletin of mathematical biology, 78 (2016) 1, pp. 21-51
inJournal
2016 Repository Open Access
Michael Joswig, Joe Kileel, Bernd Sturmfels and André Wagner

Rigid multiview varieties

In: International journal of algebra and computation, 26 (2016) 4, pp. 775-788
inJournal
2016 Repository Open Access
Hwangrae Lee and Bernd Sturmfels

Duality of multiple root loci

In: Journal of algebra, 446 (2016), pp. 499-526
Preprint
2016
Bo Lin, Bernd Sturmfels, Xiaoxian Tang and Ruriko Yoshida

Appendix for 'Convexity in tree spaces'

inJournal
2016 Repository Open Access
Mateusz Michałek, Bernd Sturmfels, Caroline Uhler and Piotr Zwiernik

Exponential varieties

In: Proceedings of the London Mathematical Society, 112 (2016) 1, pp. 27-56
inJournal
2016 Repository Open Access
Luke Oeding, Elina Robeva and Bernd Sturmfels

Decomposing tensors into frames

In: Advances in applied mathematics, 73 (2016), pp. 125-153
inJournal
2016 Repository Open Access
Qingchun Ren, Kristin Shaw and Bernd Sturmfels

Tropicalization of del Pezzo surfaces

In: Advances in mathematics, 300 (2016), pp. 156-189
inJournal
2016 Repository Open Access
Bernd Sturmfels, Emmanuel Tsukerman and Lauren Williams

Symmetric matrices, Catalan paths, and correlations

In: Journal of combinatorial theory / A, 144 (2016), pp. 496-510
inJournal
2016 Journal Open Access
Bernd Sturmfels

Tensors and their eigenvectors

In: Notices of the American Mathematical Society, 63 (2016) 6, pp. 604-606
inJournal
2015 Repository Open Access
Elizabeth S. Allman, John A. Rhodes, Bernd Sturmfels and Piotr Zwiernik

Tensors of nonnegative rank two

In: Linear algebra and its applications, 473 (2015), pp. 37-53
inJournal
2015 Journal Open Access
Sarah Brodsky, Michael Joswig, Ralph Morrison and Bernd Sturmfels

Moduli of tropical plane curves

In: Research in the mathematical sciences, 2 (2015) 1, p. 4
inJournal
2015 Journal Open Access
Maria Kateri, Fatemeh Mohammadi and Bernd Sturmfels

A family of quasisymmetry models

In: Journal of algebraic statistics, 6 (2015) 1, pp. 1-16
inJournal
2015 Repository Open Access
Kaie Kubjas, Elina Robeva and Bernd Sturmfels

Fixed points of the EM algorithm and nonnegative rank boundaries

In: The annals of statistics, 43 (2015) 1, pp. 422-461
Book
2015
Diane Maclagan and Bernd Sturmfels

Introduction to tropical geometry

Providence, R.I. : American Mathematical Society, 2015. - xii, 363
(Graduate studies in mathematics ; 161)
ISBN: 978-0-8218-5198-2, ISBN: 978-1-4704-2221-9, ISSN: 1065-7339
inJournal
2015 Journal Open Access
Portia M. Mira, Kristina Crona, Devin Greene, Juan C. Meza, Bernd Sturmfels and Miriam Barlow

Correction: Rational design of antibiotic treatment plans : a treatment strategy for managing evolution and reversing resistance (vol 10, e0122283, 2015)

In: PLOS ONE, 10 (2015) 9, e0139387
inJournal
2015 Journal Open Access
Portia M. Mira, Kristina Crona, Devin Greene, Juan C. Meza, Bernd Sturmfels and Miriam Barlow

Rational design of antibiotic treatment plans : a treatment strategy for managing evolution and reversing resistance

In: PLOS ONE, 10 (2015) 5, e0122283
inJournal
2015 Repository Open Access
John Christian Ottem, Kristian Ranestad, Bernd Sturmfels and Cynthia Vinzant

Quartic spectrahedra

In: Mathematical programming, 151 (2015) 2, pp. 585-612
inJournal
2015 Repository Open Access
Qingchun Ren, Jürgen Richter-Gebert and Bernd Sturmfels

Cayley-Bacharach formulas

In: The American mathematical monthly, 122 (2015) 9, pp. 845-854
inJournal
2015 Repository Open Access
Rainer Sinn and Bernd Sturmfels

Generic spectrahedral shadows

In: SIAM journal on optimization, 25 (2015) 2, pp. 1209-1220
Preprint
2014 Repository Open Access
Sameer Agarwal, Hon-Leung Lee, Bernd Sturmfels and Rekha R. Thomas

Certifying the existence of epipolar matrices

Book
2014
Aldo Conca, Sandra Di Rocco, Jan Draisma, June Huh, Bernd Sturmfels and Filippo Viviani (Eds.)

Combinatorial algebraic geometry : lecture notes from the CIME-CIRM summer school held in Levico Terme, June 10-15, 2013

Cham : Springer, 2014. - vii, 239
(Lecture notes in mathematics ; 2108)
ISBN: 978-3-319-04870-3, ISBN: 978-3-319-04869-7, ISSN: 0075-8434
inBook
2014
Jan Draisma, Emil Horobet, Giorgio Ottaviani, Bernd Sturmfels and Rekha R. Thomas

The Euclidean distance degree

In: SNC 2014 : proceedings of the 2014 symposium on symbolic-numeric computation : July 28-31, 2014, Shanghai, China / Stephen M. Watt (ed.)
New York : ACM, 2014. - pp. 9-16
inJournal
2014 Journal Open Access
Jonathan Hauenstein, Jose Israel Rodriguez and Bernd Sturmfels

Maximum likelihood for matrices with rank constraints

In: Journal of algebraic statistics, 5 (2014) 1, pp. 18-38
inBook
2014 Repository Open Access
June Huh and Bernd Sturmfels

Likelihood geometry

In: Combinatorial algebraic geometry : lecture notes from the CIME-CIRM summer school held in Levico Terme, June 10-15, 2013 / Aldo Conca... (eds.)
New York : Springer, 2014. - pp. 63-117
(Lecture notes in mathematics ; 2108)
inJournal
2014 Repository Open Access
Shaowei Lin, Caroline Uhler, Bernd Sturmfels and Peter Bühlmann

Hypersurfaces and their singularities in partial correlation testing

In: Foundations of computational mathematics, 14 (2014) 5, pp. 1079-1116
inJournal
2014 Repository Open Access
Giorgio Ottaviani, Pierre-Jean Spaenlehauer and Bernd Sturmfels

Exact solutions in structured low-rank approximation

In: SIAM journal on matrix analysis and applications, 35 (2014) 4, pp. 1521-1542
inJournal
2014 Repository Open Access
Qingchun Ren, Steven V. Sam and Bernd Sturmfels

Tropicalization of classical moduli spaces

In: Mathematics in computer science, 8 (2014) 2, pp. 119-145
inBook
2014 Journal Open Access
Bernd Sturmfels

Maximum likelihood for matrices with rank constraints : [invited talk abstract]

In: ISSAC '14 proceedings of the 39th international symposium on symbolic and algebraic computation ; Kobe, Japan July 23-25, 2014 / Katsusuke Nabeshima (ed.)
New York : ACM, 2014. - pp. 17-17
inJournal
2013 Repository Open Access
Chris Aholt, Bernd Sturmfels and Rekha R. Thomas

A Hilbert scheme in computer vision

In: Canadian journal of mathematics, 65 (2013) 5, pp. 961-988
inJournal
2013 Repository Open Access
Dustin Cartwright and Bernd Sturmfels

The number of eigenvalues of a tensor

In: Linear algebra and its applications, 438 (2013) 2, pp. 942-952
inJournal
2013 Repository Open Access
Eduardo Cattani, Maria Angélica Cueto, Alicia Dickenstein, Sandra Di Rocco and Bernd Sturmfels

Mixed discriminants

In: Mathematische Zeitschrift, 274 (2013) 3-4, pp. 761-778
inBook
2013 Repository Open Access
Melody Chan and Bernd Sturmfels

Elliptic curves in honeycomb form

In: Algebraic and combinatorial aspects of tropical geometry / Erwan Brugallé... (eds.)
Providence, R.I. : American Mathematical Society, 2013. - pp. 87-107
(Contemporary mathematics ; 589)
inJournal
2013 Repository Open Access
Alexander Engström, Patricia Hersh and Bernd Sturmfels

Toric cubes

In: Rendiconti del Circolo Matematico di Palermo, 62 (2013) 1, pp. 67-78
inJournal
2013 Repository Open Access
Madhusudan Manjunath and Bernd Sturmfels

Monomials, binomials and Riemann-Roch

In: Journal of algebraic combinatorics, 37 (2013) 4, pp. 737-756
inJournal
2013 Repository Open Access
Veniamin I. Morgenshtern, Erwin Riegler, Wei Yang, Giuseppe Durisi, Shaowei Lin, Bernd Sturmfels and Helmut Bölcskei

Capacity pre-log of noncoherent SIMO channels via Hironaka's theorem

In: IEEE transactions on information theory, 59 (2013) 7, pp. 4213-4229
inJournal
2013 Repository Open Access
Giorgio Ottaviani and Bernd Sturmfels

Matrices with eigenvectors in a given subspace

In: Proceedings of the American Mathematical Society, 141 (2013) 4, pp. 1219-1232
inJournal
2013 Repository Open Access
Qingchun Ren, Steven V. Sam, Gus Schrader and Bernd Sturmfels

The universal Kummer threefold

In: Experimental mathematics, 22 (2013) 3, pp. 327-362
inBook
2013
Philipp Rostalski and Bernd Sturmfels

Dualities

In: Semidefinite optimization and convex algebraic geometry / Grigoriy Blekherman... (eds.)
Philadelphia : Society for Industrial and Applied Mathematics, 2013. - pp. 203-249
(MOS-SIAM series on optimization ; 13)
inJournal
2013 Repository Open Access
Raman Sanyal, Bernd Sturmfels and Cynthia Vinzant

The entropic discriminant

In: Advances in mathematics, 244 (2013), pp. 678-707
inJournal
2013 Repository Open Access
Bernd Sturmfels and Piotr Zwiernik

Binary cumulant varieties

In: Annals of combinatorics, 17 (2013) 1, pp. 229-250
inJournal
2013 Repository Open Access
Bernd Sturmfels and Ngoc Mai Tran

Combinatorial types of tropical eigenvectors

In: The bulletin of the London Mathematical Society, 45 (2013) 1, pp. 27-36
inJournal
2012 Repository Open Access
Grigoriy Blekherman, Jonathan Hauenstein, John Christian Ottem, Kristian Ranestad and Bernd Sturmfels

Algebraic boundaries of Hilbert's SOS cones

In: Compositio mathematica, 148 (2012) 6, pp. 1717-1735
inJournal
2012 Repository Open Access
Jesús A. De Loera, Bernd Sturmfels and Cynthia Vinzant

The central curve in linear programming

In: Foundations of computational mathematics, 12 (2012) 4, pp. 509-540
inJournal
2012 Repository Open Access
Ismail Onur Filiz, Xin Guo, Jason Morton and Bernd Sturmfels

Graphical models for correlated defaults

In: Mathematical finance : an international journal of mathematics, statistics and financial economics, 22 (2012) 4, pp. 621-644
Preprint
2012
Shaowei Lin, Luke Oeding and Bernd Sturmfels

Electric network synthesis

inBook
2012 Repository Open Access
Daniel Plaumann, Bernd Sturmfels and Cynthia Vinzant

Computing linear matrix representations of Helton-Vinnikov curves

In: Mathematical methods in systems, optimization, and control : Festschrift in honor of J. William Helton / Harry Dym... (eds.)
Basel : Springer, 2012. - pp. 259-277
(Operator theory : advances and applications ; 222)
inJournal
2012 Repository Open Access
Kristian Ranestad and Bernd Sturmfels

On the convex hull of a space curve

In: Advances in geometry, 12 (2012) 1, pp. 157-178
inJournal
2012 Repository Open Access
Bernd Sturmfels and Volkmar Welker

Commutative algebra of statistical ranking

In: Journal of algebra, 361 (2012), pp. 264-286
inJournal
2012 Journal Open Access
Bernd Sturmfels

Geometry of higher-order Markov chains

In: Journal of algebraic statistics, 3 (2012) 1, pp. 1-10
Book
2011
Luchezar L. Avramov, Mark Green, Craig Huneke, Karen E. Smith and Bernd Sturmfels (Eds.)

Trends in commutative algebra : [Based on lectures presented at the MSRI introductory workshop on commutative algebra held at the Mathematical Sciences Research Institute, Berkeley, CA, USA, September 9-13, 2002]

Reprint of the 2004 hardback edition. - New York : Cambridge University Press, 2011. - x, 254
(Mathematical sciences research institute publications ; 51)
ISBN: 978-0-521-16872-4, ISBN: 978-0-511-15945-9
inJournal
2011 Repository Open Access
Sarah B. Brodsky and Bernd Sturmfels

Tropical quadrics through three points

In: Linear algebra and its applications, 435 (2011) 7, pp. 1778-1785
inJournal
2011 Repository Open Access
Dustin Cartwright, Mathias Häbich, Bernd Sturmfels and Annette Werner

Mustafin varieties

In: Selecta mathematica, 17 (2011) 4, pp. 757-793