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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.

inJournal
2025 Journal Open Access
Viktoriia Borovik, Bernd Sturmfels and Svala Sverrisdóttir

Coupled cluster degree of the Grassmannian

In: Journal of symbolic computation, 128 (2025), p. 102396

BibTex

 DOI: 10.1016/j.jsc.2024.102396 ArXiv: 2310.15474 Code: mathrepo.mis.mpg.de
Preprint
2024 Repository Open Access
Paul Breiding, Bernd Sturmfels and Kexin Wang

Computing arrangements of hypersurfaces

BibTex

 ArXiv: 2409.09622
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

BibTex

 DOI: 10.1007/978-3-031-51462-3
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

BibTex

 DOI: 10.1007/s40306-023-00514-4 ArXiv: 2304.00712
Preprint
2024 Repository Open Access
Karel Devriendt, Hannah Friedman, Bernhard Reinke and Bernd Sturmfels

The two lives of the Grassmannian

BibTex

 ArXiv: 2401.03684 Code: mathrepo.mis.mpg.de
Preprint
2024 Repository Open Access
Nick Early, Anaëlla Pfister and Bernd Sturmfels

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

BibTex

 ArXiv: 2402.03065
Preprint
2024 Repository Open Access
Yassine El Maazouz, Bernd Sturmfels and Svala Sverrisdóttir

Gram matrices for isotropic vectors

BibTex

 ArXiv: 2411.08624
Preprint
2024 Repository Open Access
Yassine El Maazouz, Anaëlla Pfister and Bernd Sturmfels

Spinor-Helicity varieties

BibTex

 ArXiv: 2406.17331 Code: mathrepo.mis.mpg.de
inJournal
2024 Journal Open Access
Fabian Faulstich, Bernd Sturmfels and Svala Sverrisdóttir

Algebraic varieties in quantum chemistry

In: Foundations of computational mathematics, (2024)

BibTex

 DOI: 10.1007/s10208-024-09657-8 ArXiv: 2308.05258
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

BibTex

 DOI: 10.2140/astat.2024.15.15 ArXiv: 2307.13486
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

BibTex

 DOI: 10.2140/om.2024.1.1 ArXiv: 2207.00802
Preprint
2024 Repository Open Access
Thomas Kahle, Lukas Kühne, Leonie Mühlherr, Bernd Sturmfels and Maximilian Wiesmann

Arrangements and likelihood

BibTex

 ArXiv: 2411.09508 Code: mathrepo.mis.mpg.de
Preprint
2024 Repository Open Access
Mario Kummer, Bernd Sturmfels and Raluca Vlad

Maximal Mumford curves from planar graphs

BibTex

 ArXiv: 2404.11838 Code: mathrepo.mis.mpg.de
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

BibTex

 DOI: 10.1080/10586458.2022.2061650 ArXiv: 2106.13981
Preprint
2024 Repository Open Access
Elizabeth Pratt and Bernd Sturmfels

The Chow-Lam form

BibTex

 ArXiv: 2401.10795
Preprint
2024 Repository Open Access
Smita Rajan, Svala Sverrisdóttir and Bernd Sturmfels

Kinematic varieties for massless particles

BibTex

 ArXiv: 2408.16711
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

BibTex

 DOI: 10.1016/j.jsc.2023.102221 ArXiv: 2202.01571
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

BibTex

 DOI: 10.1016/j.jsc.2022.04.009 ArXiv: 2101.10392 Code: mathrepo.mis.mpg.de
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

BibTex

 DOI: 10.1016/j.aim.2023.108863 ArXiv: 2107.10518 Code: mathrepo.mis.mpg.de
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)

BibTex

 DOI: 10.1007/s00454-023-00538-5 ArXiv: 2205.11287 Code: mathrepo.mis.mpg.de
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

BibTex

 DOI: 10.1017/S0017089521000355 ArXiv: 2104.10146
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

BibTex

 DOI: 10.1145/3597066.3597084 ArXiv: 2301.09068 Code: mathrepo.mis.mpg.de
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

BibTex

 DOI: 10.1137/22M1490569 ArXiv: 2204.06414 Code: mathrepo.mis.mpg.de
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

BibTex

 DOI: 10.1093/imrn/rnac178 ArXiv: 2101.03643 Code: mathrepo.mis.mpg.de
Preprint
2023 Repository Open Access
Nick Early, Alheydis Geiger, Marta Panizzut, Bernd Sturmfels and Claudia He Yun

Positive del Pezzo geometry

BibTex

 ArXiv: 2306.13604 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Alheydis Geiger, Sachi Hashimoto, Bernd Sturmfels and Raluca Vlad

Self-dual matroids from canonical curves

In: Experimental mathematics, (2023)

BibTex

 DOI: 10.1080/10586458.2023.2239282 ArXiv: 2212.05910 Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Marc Härkönen, Jonas Hirsch and Bernd Sturmfels

Making waves

In: La matematica, 2 (2023) 3, pp. 593-615

BibTex

 DOI: 10.1007/s44007-023-00056-z ArXiv: 2111.14045 Code: mathrepo.mis.mpg.de
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

BibTex

 DOI: 10.22331/q-2023-03-16-947 ArXiv: 2111.06270
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

BibTex

 ArXiv: 2208.14631 Link: www.heldermann.de Code: mathrepo.mis.mpg.de
inJournal
2023 Journal Open Access
Dmitrii Pavlov, Bernd Sturmfels and Simon Telen

Gibbs manifolds

In: Information geometry, (2023)

BibTex

 DOI: 10.1007/s41884-023-00111-2 ArXiv: 2211.15490 Code: mathrepo.mis.mpg.de
Preprint
2023 Repository Open Access
Kemal Rose, Bernd Sturmfels and Simon Telen

Tropical implicitization revisited

BibTex

 ArXiv: 2306.13015 Code: mathrepo.mis.mpg.de
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

BibTex

 DOI: 10.4171/ICM2022/64 ArXiv: 2108.09494
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

BibTex

 DOI: 10.1145/3476446.3536193 ArXiv: 2112.10287 Code: mathrepo.mis.mpg.de
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

BibTex

 DOI: 10.1016/j.jsc.2020.07.009 ArXiv: 1811.08395

MiS Preprint
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

BibTex

 DOI: 10.1007/s13366-021-00600-4 ArXiv: 2107.00503 Code: mathrepo.mis.mpg.de
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

BibTex

 DOI: 10.1017/9781108877855.004 ArXiv: 1908.04191

MiS Preprint
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

BibTex

 DOI: 10.13137/2464-8728/33881 ArXiv: 2201.05506
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

BibTex

 DOI: 10.1007/s00454-022-00434-4 ArXiv: 1704.01910
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

BibTex

 DOI: 10.1088/1361-6544/abf08c ArXiv: 2005.08244
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

BibTex

 DOI: 10.1007/s10013-020-00443-x ArXiv: 2001.11385 Link: math.berkeley.edu
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

BibTex

 DOI: 10.1515/advgeom-2020-0016 ArXiv: 1806.02236

MiS Preprint
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

BibTex

 DOI: 10.4418/2021.76.2.3 ArXiv: 2010.00277 Code: mathrepo.mis.mpg.de
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

BibTex

 DOI: 10.4418/2021.76.2.4 ArXiv: 2010.10879 Code: mathrepo.mis.mpg.de
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

BibTex

 DOI: 10.1016/j.jsc.2020.10.005 ArXiv: 2003.06725
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

BibTex

 DOI: 10.1007/s10208-020-09485-6 ArXiv: 2001.04700 Code: mathrepo.mis.mpg.de
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

BibTex

 DOI: 10.3150/20-BEJ1231 ArXiv: 1903.06110

MiS Preprint
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

BibTex

 DOI: 10.4418/2021.76.2.2 ArXiv: 2009.04334
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

BibTex

 DOI: 10.1007/s13348-021-00319-4 ArXiv: 2006.09956
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

BibTex

 DOI: 10.1007/s00454-021-00322-3
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

BibTex

 Code: mathrepo.mis.mpg.de
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

BibTex

 DOI: 10.1111/sjos.12462 ArXiv: 1806.10120

MiS Preprint
inJournal
2021 Repository Open Access
Bernd Sturmfels and Simon Telen

Likelihood equations and scattering amplitudes

In: Algebraic statistics, 12 (2021) 2, pp. 167-186

BibTex

 DOI: 10.2140/astat.2021.12.167 ArXiv: 2012.05041
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

BibTex

 DOI: 10.2140/astat.2020.11.189 ArXiv: 1912.00396
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

BibTex

 ArXiv: 1902.05518

MiS Preprint

 Link: www.ams.org
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)

BibTex

 DOI: 10.1007/978-3-030-43120-4_29 ArXiv: 1909.11716

MiS Preprint
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

BibTex

 DOI: 10.1007/s10107-019-01399-8 ArXiv: 1804.01796

MiS Preprint
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

BibTex

 DOI: 10.1007/s00454-020-00215-x ArXiv: 1905.11951

MiS Preprint
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

BibTex

 DOI: 10.2422/2036-2145.201808_003 ArXiv: 1807.10258

MiS Preprint
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

BibTex

 DOI: 10.4418/2020.75.2.8 ArXiv: 1908.06106 Code: mathrepo.mis.mpg.de
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

BibTex

 DOI: 10.4418/2020.75.2.1 ArXiv: 1912.07347
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

BibTex

 DOI: 10.14736/kyb-2020-6-1154 ArXiv: 1902.09905

MiS Preprint
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

BibTex

 DOI: 10.2140/astat.2020.11.31 ArXiv: 1909.00566
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)

BibTex

 ArXiv: 1511.04125 Link: dmtcs.episciences.org
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

BibTex

 DOI: 10.1017/fms.2019.3 ArXiv: 1804.08325

MiS Preprint
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

BibTex

 DOI: 10.1007/s10208-018-9396-x ArXiv: 1710.07175

MiS Preprint
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

BibTex

 DOI: 10.1090/mcom/3406 ArXiv: 1707.08520

MiS Preprint
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

BibTex

 DOI: 10.33044/revuma.v60n2a22 ArXiv: 1810.03547

MiS Preprint
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

BibTex

 DOI: 10.1080/10586458.2017.1360808 ArXiv: 1703.01660

MiS Preprint

 Code: mathrepo.mis.mpg.de
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

BibTex

 DOI: 10.1137/18M1212331 ArXiv: 1809.01588

MiS Preprint
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

BibTex

 DOI: 10.1007/s00454-018-0024-y ArXiv: 1704.01910

MiS Preprint
Preprint
2019 Repository Open Access
Anna-Laura Sattelberger and Bernd Sturmfels

D-modules and holonomic functions

BibTex

 ArXiv: 1910.01395
inJournal
2019 Journal Open Access
Bernd Sturmfels

Adventures in mentoring

In: Notices of the American Mathematical Society, 66 (2019) 8, pp. 1300-1302

BibTex

 Link: www.ams.org
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

BibTex

 DOI: 10.1093/imrn/rnx090 ArXiv: 1612.01129

MiS Preprint
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

BibTex

 DOI: 10.1007/s13163-018-0273-6 ArXiv: 1802.09436

MiS Preprint
inJournal
2018 Repository Open Access
Martin Helmer and Bernd Sturmfels

Nearest points on toric varieties

In: Mathematica Scandinavica, 122 (2018) 2, pp. 213-238

BibTex

 DOI: 10.7146/math.scand.a-101478 ArXiv: 1603.06544
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

BibTex

 DOI: 10.1007/s10208-017-9361-0 ArXiv: 1610.01860
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

BibTex

 DOI: 10.1007/s40306-017-0240-1 ArXiv: 1707.01877

MiS Preprint
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

BibTex

 DOI: 10.1145/3208976.3208977 ArXiv: 1712.06274

MiS Preprint

 Code: mathrepo.mis.mpg.de
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

BibTex

 Link: www.mpg.de
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)

BibTex

 DOI: 10.1090/conm/685/13717 ArXiv: 1505.05729
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

BibTex

 DOI: 10.1007/s11263-016-0949-7 ArXiv: 1510.01401
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

BibTex

 DOI: 10.4171/OWR/2017/20 Link: publications.mfo.de
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)

BibTex

 DOI: 10.1007/978-3-319-61943-9_9 ArXiv: 1606.02253
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

BibTex

 DOI: 10.1109/CVPR.2017.384 ArXiv: 1703.05289
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

BibTex

 DOI: 10.1137/16M1079841 ArXiv: 1510.08797
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

BibTex

 DOI: 10.1007/s10231-016-0606-3 ArXiv: 1601.06574
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

BibTex

 DOI: 10.1016/j.aam.2017.01.001 ArXiv: 1608.05924
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

BibTex

 DOI: 10.1007/s11538-016-0232-7 ArXiv: 1605.03660
inJournal
2017 Repository Open Access
Anna Seigal and Bernd Sturmfels

Real rank two geometry

In: Journal of algebra, 484 (2017), pp. 310-333

BibTex

 DOI: 10.1016/j.jalgebra.2017.04.014 ArXiv: 1609.09245
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

BibTex

 DOI: 10.1007/978-1-4939-7486-3
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)

BibTex

 DOI: 10.1007/978-1-4939-7486-3_1 ArXiv: 1612.03539
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

BibTex

 DOI: 10.1137/17N974240
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

BibTex

 DOI: 10.1016/j.jsc.2016.08.012 ArXiv: 1410.6703
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

BibTex

 DOI: 10.1109/CVPR.2017.270 ArXiv: 1612.01160
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)

BibTex

 DOI: 10.1007/978-3-319-32859-1_49 ArXiv: 1508.06958
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

BibTex

 DOI: 10.18409/jas.v7i1.42 ArXiv: 1510.04654
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)

BibTex

 DOI: 10.1007/978-3-319-32859-1_10 ArXiv: 1508.07219
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

BibTex

 DOI: 10.1007/s10208-014-9240-x ArXiv: 1309.0049
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

BibTex

 DOI: 10.1007/s11538-015-0125-1 ArXiv: 1502.03188
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

BibTex

 DOI: 10.1142/S021819671650034X ArXiv: 1509.03257
inJournal
2016 Repository Open Access
Hwangrae Lee and Bernd Sturmfels

Duality of multiple root loci

In: Journal of algebra, 446 (2016), pp. 499-526

BibTex

 DOI: 10.1016/j.jalgebra.2015.08.029 ArXiv: 1508.00202
Preprint
2016
Bo Lin, Bernd Sturmfels, Xiaoxian Tang and Ruriko Yoshida

Appendix for 'Convexity in tree spaces'

BibTex

 Link: polytopes.net
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

BibTex

 DOI: 10.1112/plms/pdv066 ArXiv: 1412.6185
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

BibTex

 DOI: 10.1016/j.aam.2015.10.004 ArXiv: 1504.08049
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

BibTex

 DOI: 10.1016/j.aim.2016.03.017 ArXiv: 1402.5651
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

BibTex

 DOI: 10.1016/j.jcta.2016.06.014 ArXiv: 1511.04125
inJournal
2016 Journal Open Access
Bernd Sturmfels

Tensors and their eigenvectors

In: Notices of the American Mathematical Society, 63 (2016) 6, pp. 604-606

BibTex

 DOI: 10.1090/noti1389 Link: math.berkeley.edu
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

BibTex

 DOI: 10.1016/j.laa.2013.10.046 ArXiv: 1305.0539
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

BibTex

 DOI: 10.1186/s40687-014-0018-1 ArXiv: 1409.4395
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

BibTex

 DOI: 10.18409/jas.v6i1.33 ArXiv: 1403.0547
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

BibTex

 DOI: 10.1214/14-AOS1282 ArXiv: 1312.5634
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

BibTex

 DOI: 10.1090/gsm/161
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

BibTex

 DOI: 10.1371/journal.pone.0139387
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

BibTex

 DOI: 10.1371/journal.pone.0122283 ArXiv: 1406.1564
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

BibTex

 DOI: 10.1007/s10107-014-0844-3 ArXiv: 1311.3675
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

BibTex

 DOI: 10.4169/amer.math.monthly.122.9.845 ArXiv: 1405.6438
inJournal
2015 Repository Open Access
Rainer Sinn and Bernd Sturmfels

Generic spectrahedral shadows

In: SIAM journal on optimization, 25 (2015) 2, pp. 1209-1220

BibTex

 DOI: 10.1137/140978478 ArXiv: 1407.5219
Preprint
2014 Repository Open Access
Sameer Agarwal, Hon-Leung Lee, Bernd Sturmfels and Rekha R. Thomas

Certifying the existence of epipolar matrices

BibTex

 ArXiv: 1407.5367
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

BibTex

 DOI: 10.1007/978-3-319-04870-3
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

BibTex

 DOI: 10.1145/2631948.2631951
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

BibTex

 DOI: 10.18409/jas.v5i1.23 ArXiv: 1210.0198
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)

BibTex

 DOI: 10.1007/978-3-319-04870-3_3 ArXiv: 1305.7462
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

BibTex

 DOI: 10.1007/s10208-014-9205-0 ArXiv: 1209.0285
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

BibTex

 DOI: 10.1137/13094520X ArXiv: 1311.2376
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

BibTex

 DOI: 10.1007/s11786-014-0185-x ArXiv: 1303.1132
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

BibTex

 DOI: 10.1145/2608628.2627490
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

BibTex

 DOI: 10.4153/CJM-2012-023-2 ArXiv: 1107.2875
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

BibTex

 DOI: 10.1016/j.laa.2011.05.040 ArXiv: 1004.4953
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

BibTex

 DOI: 10.1007/s00209-012-1095-8 ArXiv: 1112.1012
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)

BibTex

 DOI: 10.1090/conm/589/11743 ArXiv: 1203.2356
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

BibTex

 DOI: 10.1007/s12215-013-0115-9 ArXiv: 1202.4333
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

BibTex

 DOI: 10.1007/s10801-012-0386-9 ArXiv: 1201.4357
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

BibTex

 DOI: 10.1109/TIT.2013.2251394 ArXiv: 1204.2775
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

BibTex

 DOI: 10.1090/S0002-9939-2012-11404-2 ArXiv: 1012.1016
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

BibTex

 DOI: 10.1080/10586458.2013.816206 ArXiv: 1208.1229
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)

BibTex
inJournal
2013 Repository Open Access
Raman Sanyal, Bernd Sturmfels and Cynthia Vinzant

The entropic discriminant

In: Advances in mathematics, 244 (2013), pp. 678-707

BibTex

 DOI: 10.1016/j.aim.2013.05.019 ArXiv: 1108.2925
inJournal
2013 Repository Open Access
Bernd Sturmfels and Piotr Zwiernik

Binary cumulant varieties

In: Annals of combinatorics, 17 (2013) 1, pp. 229-250

BibTex

 DOI: 10.1007/s00026-012-0174-1 ArXiv: 1103.0153
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

BibTex

 DOI: 10.1112/blms/bds058 ArXiv: 1105.5504
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

BibTex

 DOI: 10.1112/S0010437X12000437 ArXiv: 1107.1846
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

BibTex

 DOI: 10.1007/s10208-012-9127-7 ArXiv: 1012.3978
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

BibTex

 DOI: 10.1111/j.1467-9965.2011.00499.x ArXiv: 0809.1393
Preprint
2012
Shaowei Lin, Luke Oeding and Bernd Sturmfels

Electric network synthesis

BibTex

 Link: www.acritch.com
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)

BibTex

 DOI: 10.1007/978-3-0348-0411-0_19 ArXiv: 1011.6057
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

BibTex

 DOI: 10.1515/advgeom.2011.021 ArXiv: 0912.2986
inJournal
2012 Repository Open Access
Bernd Sturmfels and Volkmar Welker

Commutative algebra of statistical ranking

In: Journal of algebra, 361 (2012), pp. 264-286

BibTex

 DOI: 10.1016/j.jalgebra.2012.03.028 ArXiv: 1101.1597
inJournal
2012 Journal Open Access
Bernd Sturmfels

Geometry of higher-order Markov chains

In: Journal of algebraic statistics, 3 (2012) 1, pp. 1-10

BibTex

 DOI: 10.18409/jas.v3i1.13 ArXiv: 1207.1899
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

BibTex
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

BibTex

 DOI: 10.1016/j.laa.2010.05.004 ArXiv: 1002.0603
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

BibTex

 DOI: 10.1007/s00029-011-0075-x ArXiv: 1002.1418
inJournal
2011 Repository Open Access
Daniel Plaumann, Bernd Sturmfels and Cynthia Vinzant

Quartic curves and their bitangents

In: Journal of symbolic computation, 46 (2011) 6, pp. 712-733

BibTex

 DOI: 10.1016/j.jsc.2011.01.007 ArXiv: 1008.4104
inBook
2011 Repository Open Access
Kristian Ranestad and Bernd Sturmfels

The convex hull of a variety

In: Notions of positivity and the geometry of polynomials / Petter Brändén... (eds.)
Basel : Birkhäuser, 2011. - pp. 331-344
(Trends in mathematics)

BibTex

 DOI: 10.1007/978-3-0348-0142-3_18 ArXiv: 1004.3018
inBook
2011 Repository Open Access
Erwin Riegler, Veniamin I. Morgenshtern, Giuseppe Durisi, Shaowei Lin, Bernd Sturmfels and Helmut Bölcskei

Noncoherent SIMO pre-log via resolution of singularities

In: IEEE international symposium on information theory proceedings (ISIT) 2011 : July 31-August 5, 2011 in St. Petersburg, Russia
Piscataway, NY : IEEE, 2011. - pp. 2020-2024

BibTex

 DOI: 10.1109/ISIT.2011.6033909 ArXiv: 1105.6009
inJournal
2011 Repository Open Access
Raman Sanyal, Frank Sottile and Bernd Sturmfels

Orbitopes

In: Mathematika : a journal of pure and applied mathematics, 57 (2011) 2, pp. 275-314

BibTex

 DOI: 10.1112/S002557931100132X ArXiv: 0911.5436
inJournal
2010 Repository Open Access
Dustin Cartwright and Bernd Sturmfels

The Hilbert scheme of the diagonal in a product of projective spaces

In: International mathematics research notices, 2010 (2010) 9, pp. 1741-1771

BibTex

 DOI: 10.1093/imrn/rnp201 ArXiv: 0901.0212
inBook
2010 Repository Open Access
Maria Angélica Cueto, Jason Morton and Bernd Sturmfels

Geometry of the restricted Boltzmann machine

In: Algebraic methods in statistics and probability : volume 2 / Marlos A. G. Viana... (eds.)
Providence, R.I. : American Mathematical Society, 2010. - pp. 135-153
(Contemporary mathematics ; 516)

BibTex

 DOI: 10.1090/conm/516/10172