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Bernd Sturmfels
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- affiliation: Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
- affiliation (former): University of California, Berkeley, USA
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2020 – today
- 2024
- [j95]Daniele Agostini, Hannah Markwig, Clemens Nollau, Victoria Schleis, Javier Sendra-Arranz, Bernd Sturmfels:
Recovery of Plane Curves from Branch Points. Discret. Comput. Geom. 72(2): 451-475 (2024) - [j94]Hana Melánová, Bernd Sturmfels, Rosa Winter:
Recovery from Power Sums. Exp. Math. 33(2): 225-234 (2024) - [j93]Bernd Sturmfels, Simon Telen, François-Xavier Vialard, Max von Renesse:
Toric geometry of entropic regularization. J. Symb. Comput. 120: 102221 (2024) - [i50]Paul Breiding, Bernd Sturmfels, Kexin Wang:
Computing Arrangements of Hypersurfaces. CoRR abs/2409.09622 (2024) - 2023
- [j92]Daniele Agostini, Claudia Fevola, Yelena Mandelshtam, Bernd Sturmfels:
KP solitons from tropical limits. J. Symb. Comput. 114: 282-301 (2023) - [j91]Thinh P. Le, Chiara Meroni, Bernd Sturmfels, Reinhard F. Werner, Timo Ziegler:
Quantum Correlations in the Minimal Scenario. Quantum 7: 947 (2023) - [j90]Michael Borinsky, Anna-Laura Sattelberger, Bernd Sturmfels, Simon Telen:
Bayesian Integrals on Toric Varieties. SIAM J. Appl. Algebra Geom. 7(1): 77-103 (2023) - [c19]Yulia Alexandr, Joe Kileel, Bernd Sturmfels:
Moment Varieties for Mixtures of Products. ISSAC 2023: 53-60 - [i49]Aldo Conca, Simone Naldi, Giorgio Ottaviani, Bernd Sturmfels:
Taylor Polynomials of Rational Functions. CoRR abs/2304.00712 (2023) - 2022
- [j89]Elina Robeva, Bernd Sturmfels, Caroline Uhler:
Publisher Correction: Geometry of Log-Concave Density Estimation. Discret. Comput. Geom. 68(2): 645 (2022) - [j88]Diego Cifuentes, Kristian Ranestad, Bernd Sturmfels, Madeleine Weinstein:
Voronoi cells of varieties. J. Symb. Comput. 109: 351-366 (2022) - [c18]Tobias Boege, Sonja Petrovic, Bernd Sturmfels:
Marginal Independence Models. ISSAC 2022: 263-271 - [i48]Irem Portakal, Bernd Sturmfels:
Geometry of Dependency Equilibria. CoRR abs/2201.05506 (2022) - [i47]Bernd Sturmfels, Simon Telen, François-Xavier Vialard, Max von Renesse:
Toric Geometry of Entropic Regularization. CoRR abs/2202.01571 (2022) - [i46]Daniele Agostini, Hannah Markwig, Clemens Nollau, Victoria Schleis, Javier Sendra-Arranz, Bernd Sturmfels:
Recovery of Plane Curves from Branch Points. CoRR abs/2205.11287 (2022) - [i45]Laurent Manivel, Bernd Sturmfels, Svala Sverrisdóttir:
Four-Dimensional Lie Algebras Revisited. CoRR abs/2208.14631 (2022) - 2021
- [j87]Michael Joswig, Marta Panizzut, Bernd Sturmfels:
Correction to: The Schläfli Fan. Discret. Comput. Geom. 66(4): 1217 (2021) - [j86]Yairon Cid-Ruiz, Roser Homs, Bernd Sturmfels:
Primary Ideals and Their Differential Equations. Found. Comput. Math. 21(5): 1363-1399 (2021) - [j85]Türkü Özlüm Çelik, Asgar Jamneshan, Guido Montúfar, Bernd Sturmfels, Lorenzo Venturello:
Wasserstein distance to independence models. J. Symb. Comput. 104: 855-873 (2021) - [i44]Rida Ait El Manssour, Marc Härkönen, Bernd Sturmfels:
Linear PDE with Constant Coefficients. CoRR abs/2104.10146 (2021) - [i43]Hana Melánová, Bernd Sturmfels, Rosa Winter:
Recovery from Power Sums. CoRR abs/2106.13981 (2021) - [i42]Bernd Sturmfels:
Beyond Linear Algebra. CoRR abs/2108.09494 (2021) - [i41]Tobias Boege, Sonja Petrovic, Bernd Sturmfels:
Marginal Independence Models. CoRR abs/2112.10287 (2021) - 2020
- [j84]Michael Joswig, Marta Panizzut, Bernd Sturmfels:
The Schläfli Fan. Discret. Comput. Geom. 64(2): 355-381 (2020) - [j83]Bernd Sturmfels, Caroline Uhler, Piotr Zwiernik:
Brownian motion tree models are toric. Kybernetika 56(6): 1154-1175 (2020) - [j82]Diego Cifuentes, Corey Harris, Bernd Sturmfels:
The geometry of SDP-exactness in quadratic optimization. Math. Program. 182(1): 399-428 (2020) - [i40]Yuhan Jiang, Bernd Sturmfels:
Bad Projections of the PSD Cone. CoRR abs/2006.09956 (2020) - [i39]Taylor Brysiewicz, Claudia Fevola, Bernd Sturmfels:
Tangent Quadrics in Real 3-Space. CoRR abs/2010.10879 (2020)
2010 – 2019
- 2019
- [j81]Elina Robeva, Bernd Sturmfels, Caroline Uhler:
Geometry of Log-Concave Density Estimation. Discret. Comput. Geom. 61(1): 136-160 (2019) - [j80]Nidhi Kaihnsa, Mario Kummer, Daniel Plaumann, Mahsa Sayyary Namin, Bernd Sturmfels:
Sixty-Four Curves of Degree Six. Exp. Math. 28(2): 132-150 (2019) - [j79]Tobias Boege, Alessio D'Alì, Thomas Kahle, Bernd Sturmfels:
The Geometry of Gaussoids. Found. Comput. Math. 19(4): 775-812 (2019) - [j78]Lynn Chua, Mario Kummer, Bernd Sturmfels:
Schottky algorithms: Classical meets tropical. Math. Comput. 88(319): 2541-2558 (2019) - [j77]Max Pfeffer, Anna Seigal, Bernd Sturmfels:
Learning Paths from Signature Tensors. SIAM J. Matrix Anal. Appl. 40(2): 394-416 (2019) - [c17]Türkü Özlüm Çelik, Asgar Jamneshan, Guido Montúfar, Bernd Sturmfels, Lorenzo Venturello:
Optimal Transport to a Variety. MACIS 2019: 364-381 - [i38]Anna-Laura Sattelberger, Bernd Sturmfels:
D-Modules and Holonomic Functions. CoRR abs/1910.01395 (2019) - [i37]Michael F. Adamer, András C. Lorincz, Anna-Laura Sattelberger, Bernd Sturmfels:
Algebraic Analysis of Rotation Data. CoRR abs/1912.00396 (2019) - 2018
- [j76]Joe Kileel, Zuzana Kukelova, Tomás Pajdla, Bernd Sturmfels:
Distortion Varieties. Found. Comput. Math. 18(4): 1043-1071 (2018) - [c16]Avinash Kulkarni, Yue Ren, Mahsa Sayyary Namin, Bernd Sturmfels:
Real Space Sextics and their Tritangents. ISSAC 2018: 247-254 - [i36]Diego Cifuentes, Corey Harris, Bernd Sturmfels:
The Geometry of SDP-Exactness in Quadratic Optimization. CoRR abs/1804.01796 (2018) - [i35]Max Pfeffer, Anna Seigal, Bernd Sturmfels:
Learning Paths from Signature Tensors. CoRR abs/1809.01588 (2018) - [i34]Diego Cifuentes, Kristian Ranestad, Bernd Sturmfels, Madeleine Weinstein:
Voronoi Cells of Varieties. CoRR abs/1811.08395 (2018) - 2017
- [j75]Jean Ponce, Bernd Sturmfels, Matthew Trager:
Congruences and concurrent lines in multi-view geometry. Adv. Appl. Math. 88: 62-91 (2017) - [j74]Sameer Agarwal, Hon-leung Lee, Bernd Sturmfels, Rekha R. Thomas:
On the Existence of Epipolar Matrices. Int. J. Comput. Vis. 121(3): 403-415 (2017) - [j73]Bernd Sturmfels:
The Hurwitz form of a projective variety. J. Symb. Comput. 79: 186-196 (2017) - [j72]Bernd Sturmfels:
Message from the Editor-in-Chief. SIAM J. Appl. Algebra Geom. 1(1): 1 (2017) - [j71]Bo Lin, Bernd Sturmfels, Xiaoxian Tang, Ruriko Yoshida:
Convexity in Tree Spaces. SIAM J. Discret. Math. 31(3): 2015-2038 (2017) - [c15]Matthew Trager, Bernd Sturmfels, John F. Canny, Martial Hebert, Jean Ponce:
General Models for Rational Cameras and the Case of Two-Slit Projections. CVPR 2017: 2520-2528 - [c14]Zuzana Kukelova, Joe Kileel, Bernd Sturmfels, Tomás Pajdla:
A Clever Elimination Strategy for Efficient Minimal Solvers. CVPR 2017: 3605-3614 - [i33]Zuzana Kukelova, Joe Kileel, Bernd Sturmfels, Tomás Pajdla:
A clever elimination strategy for efficient minimal solvers. CoRR abs/1703.05289 (2017) - [i32]Kathlén Kohn, Bernd Sturmfels, Matthew Trager:
Changing Views on Curves and Surfaces. CoRR abs/1707.01877 (2017) - 2016
- [j70]Luke Oeding, Elina Robeva, Bernd Sturmfels:
Decomposing tensors into frames. Adv. Appl. Math. 73: 125-153 (2016) - [j69]Jan Draisma, Emil Horobet, Giorgio Ottaviani, Bernd Sturmfels, Rekha R. Thomas:
The Euclidean Distance Degree of an Algebraic Variety. Found. Comput. Math. 16(1): 99-149 (2016) - [j68]Michael Joswig, Joe Kileel, Bernd Sturmfels, André Wagner:
Rigid multiview varieties. Int. J. Algebra Comput. 26(4): 775-788 (2016) - [j67]Bernd Sturmfels, Emmanuel Tsukerman, Lauren K. Williams:
Symmetric matrices, Catalan paths, and correlations. J. Comb. Theory A 144: 496-510 (2016) - [i31]Martin Helmer, Bernd Sturmfels:
Nearest Points on Toric Varieties. CoRR abs/1603.06544 (2016) - [i30]Jean Ponce, Bernd Sturmfels, Matthew Trager:
Congruences and Concurrent Lines in Multi-View Geometry. CoRR abs/1608.05924 (2016) - [i29]Anna Seigal, Bernd Sturmfels:
Real Rank Two Geometry. CoRR abs/1609.09245 (2016) - [i28]Joe Kileel, Zuzana Kukelova, Tomás Pajdla, Bernd Sturmfels:
Distortion Varieties. CoRR abs/1610.01860 (2016) - [i27]Matthew Trager, Bernd Sturmfels, John F. Canny, Martial Hebert, Jean Ponce:
General models for rational cameras and the case of two-slit projections. CoRR abs/1612.01160 (2016) - 2015
- [b3]Diane Maclagan, Bernd Sturmfels:
Introduction to Tropical Geometry. Graduate studies in mathematics 161, American Mathematical Society 2015, ISBN 978-0-8218-5198-2, pp. I-XII, 1-363 - [j66]John Christian Ottem, Kristian Ranestad, Bernd Sturmfels, Cynthia Vinzant:
Quartic spectrahedra. Math. Program. 151(2): 585-612 (2015) - [j65]Rainer Sinn, Bernd Sturmfels:
Generic Spectrahedral Shadows. SIAM J. Optim. 25(2): 1209-1220 (2015) - [j64]Qingchun Ren, Jürgen Richter-Gebert, Bernd Sturmfels:
Cayley-Bacharach Formulas. Am. Math. Mon. 122(9): 845-854 (2015) - [c13]Peter Bürgisser, Kathlén Kohn, Pierre Lairez, Bernd Sturmfels:
Computing the Chow Variety of Quadratic Space Curves. MACIS 2015: 130-136 - [c12]Carlos Améndola, Mathias Drton, Bernd Sturmfels:
Maximum Likelihood Estimates for Gaussian Mixtures Are Transcendental. MACIS 2015: 579-590 - [i26]Hwangrae Lee, Bernd Sturmfels:
Duality of Multiple Root Loci. CoRR abs/1508.00202 (2015) - [i25]Peter Bürgisser, Kathlén Kohn, Pierre Lairez, Bernd Sturmfels:
Computing the Chow variety of quadratic space curves. CoRR abs/1508.07219 (2015) - [i24]Michael Joswig, Joe Kileel, Bernd Sturmfels, André Wagner:
Rigid Multiview Varieties. CoRR abs/1509.03257 (2015) - [i23]Sameer Agarwal, Hon-leung Lee, Bernd Sturmfels, Rekha R. Thomas:
On the Existence of Epipolar Matrices. CoRR abs/1510.01401 (2015) - [i22]Bo Lin, Bernd Sturmfels, Xiaoxian Tang, Ruriko Yoshida:
Convexity in Tree Spaces. CoRR abs/1510.08797 (2015) - 2014
- [j63]Shaowei Lin, Caroline Uhler, Bernd Sturmfels, Peter Bühlmann:
Hypersurfaces and Their Singularities in Partial Correlation Testing. Found. Comput. Math. 14(5): 1079-1116 (2014) - [j62]Qingchun Ren, Steven V. Sam, Bernd Sturmfels:
Tropicalization of Classical Moduli Spaces. Math. Comput. Sci. 8(2): 119-145 (2014) - [j61]Giorgio Ottaviani, Pierre-Jean Spaenlehauer, Bernd Sturmfels:
Exact Solutions in Structured Low-Rank Approximation. SIAM J. Matrix Anal. Appl. 35(4): 1521-1542 (2014) - [c11]Bernd Sturmfels:
Maximum likelihood for matrices with rank constraints. ISSAC 2014: 17 - [c10]Jan Draisma, Emil Horobet, Giorgio Ottaviani, Bernd Sturmfels, Rekha R. Thomas:
The euclidean distance degree. SNC 2014: 9-16 - [i21]Sameer Agarwal, Hon-leung Lee, Bernd Sturmfels, Rekha R. Thomas:
Certifying the Existence of Epipolar Matrices. CoRR abs/1407.5367 (2014) - 2013
- [j60]Qingchun Ren, Steven V. Sam, Gus Schrader, Bernd Sturmfels:
The Universal Kummer Threefold. Exp. Math. 22(3): 327-362 (2013) - [j59]Veniamin I. Morgenshtern, Erwin Riegler, Wei Yang, Giuseppe Durisi, Shaowei Lin, Bernd Sturmfels, Helmut Bölcskei:
Capacity Pre-Log of Noncoherent SIMO Channels Via Hironaka's Theorem. IEEE Trans. Inf. Theory 59(7): 4213-4229 (2013) - [i20]Dan Geiger, Christopher Meek, Bernd Sturmfels:
Factorization of Discrete Probability Distributions. CoRR abs/1301.0568 (2013) - [i19]Qingchun Ren, Steven V. Sam, Bernd Sturmfels:
Tropicalization of classical moduli spaces. CoRR abs/1303.1132 (2013) - [i18]Giorgio Ottaviani, Pierre-Jean Spaenlehauer, Bernd Sturmfels:
Algebraic Methods for Structured Low-Rank Approximation. CoRR abs/1311.2376 (2013) - 2012
- [j58]Jesús A. De Loera, Bernd Sturmfels, Cynthia Vinzant:
The Central Curve in Linear Programming. Found. Comput. Math. 12(4): 509-540 (2012) - [i17]Madhusudan Manjunath, Bernd Sturmfels:
Monomials, Binomials, and Riemann-Roch. CoRR abs/1201.4357 (2012) - [i16]Veniamin I. Morgenshtern, Erwin Riegler, Wei Yang, Giuseppe Durisi, Shaowei Lin, Bernd Sturmfels, Helmut Bölcskei:
Capacity Pre-Log of Noncoherent SIMO Channels via Hironaka's Theorem. CoRR abs/1204.2775 (2012) - 2011
- [j57]Daniel Plaumann, Bernd Sturmfels, Cynthia Vinzant:
Quartic curves and their bitangents. J. Symb. Comput. 46(6): 712-733 (2011) - [c9]Erwin Riegler, Veniamin I. Morgenshtern, Giuseppe Durisi, Shaowei Lin, Bernd Sturmfels, Helmut Bölcskei:
Noncoherent SIMO pre-log via resolution of singularities. ISIT 2011: 2020-2024 - [i15]Bernd Sturmfels, Volkmar Welker:
Commutative Algebra of Statistical Ranking. CoRR abs/1101.1597 (2011) - [i14]Bernd Sturmfels, Ngoc Mai Tran:
Combinatorial Types of Tropical Eigenvectors. CoRR abs/1105.5504 (2011) - [i13]Erwin Riegler, Veniamin I. Morgenshtern, Giuseppe Durisi, Shaowei Lin, Bernd Sturmfels, Helmut Bölcskei:
Noncoherent SIMO Pre-Log via Resolution of Singularities. CoRR abs/1105.6009 (2011) - [i12]Chris Aholt, Bernd Sturmfels, Rekha R. Thomas:
A Hilbert Scheme in Computer Vision. CoRR abs/1107.2875 (2011) - [i11]Eduardo Cattani, María Angélica Cueto, Alicia Dickenstein, Sandra Di Rocco, Bernd Sturmfels:
Mixed Discriminants. CoRR abs/1112.1012 (2011) - 2010
- [j56]Jiawang Nie, Kristian Ranestad, Bernd Sturmfels:
The algebraic degree of semidefinite programming. Math. Program. 122(2): 379-405 (2010) - [i10]Kristian Ranestad, Bernd Sturmfels:
The Convex Hull of a Variety. CoRR abs/1004.3018 (2010) - [i9]Daniel Plaumann, Bernd Sturmfels, Cynthia Vinzant:
Quartic Curves and Their Bitangents. CoRR abs/1008.4104 (2010) - [i8]Daniel Plaumann, Bernd Sturmfels, Cynthia Vinzant:
Computing Linear Matrix Representations of Helton-Vinnikov Curves. CoRR abs/1011.6057 (2010)
2000 – 2009
- 2009
- [j55]Dustin A. Cartwright, Siobhan M. Brady, David A. Orlando, Bernd Sturmfels, Philip N. Benfey:
Reconstructing spatiotemporal gene expression data from partial observations. Bioinform. 25(19): 2581-2587 (2009) - [j54]Sven Herrmann, Anders Nedergaard Jensen, Michael Joswig, Bernd Sturmfels:
How to Draw Tropical Planes. Electron. J. Comb. 16(2) (2009) - [j53]Peter Gritzmann, Bernd Sturmfels, Günter M. Ziegler:
Guest Editors' Foreword. Discret. Comput. Geom. 42(2): 131 (2009) - [j52]Reinhard C. Laubenbacher, Bernd Sturmfels:
Computeralgebra in der Systembiologie. Inform. Spektrum 32(1): 27-32 (2009) - [j51]Shaowei Lin, Bernd Sturmfels, Zhiqiang Xu:
Marginal Likelihood Integrals for Mixtures of Independence Models. J. Mach. Learn. Res. 10: 1611-1631 (2009) - [j50]Gheorghe Craciun, Alicia Dickenstein, Anne Shiu, Bernd Sturmfels:
Toric dynamical systems. J. Symb. Comput. 44(11): 1551-1565 (2009) - [j49]Jason Morton, Lior Pachter, Anne Shiu, Bernd Sturmfels, Oliver Wienand:
Convex Rank Tests and Semigraphoids. SIAM J. Discret. Math. 23(3): 1117-1134 (2009) - [j48]Jiawang Nie, Bernd Sturmfels:
Matrix Cubes Parameterized by Eigenvalues. SIAM J. Matrix Anal. Appl. 31(2): 755-766 (2009) - [j47]Reinhard C. Laubenbacher, Bernd Sturmfels:
Computer Algebra in Systems Biology. Am. Math. Mon. 116(10): 882-891 (2009) - [i7]Kristian Ranestad, Bernd Sturmfels:
On the convex hull of a space curve. CoRR abs/0912.2986 (2009) - 2008
- [b2]Bernd Sturmfels:
Algorithms in Invariant Theory. Texts & Monographs in Symbolic Computation, Springer 2008, ISBN 978-3-211-77416-8, pp. I-VII, 1-197 - [j46]Raymond Hemmecke, Jason Morton, Anne Shiu, Bernd Sturmfels, Oliver Wienand:
Three Counter-Examples on Semi-Graphoids. Comb. Probab. Comput. 17(2): 239-257 (2008) - [j45]Peter Huggins, Bernd Sturmfels, Josephine Yu, Debbie S. Yuster:
The hyperdeterminant and triangulations of the 4-cube. Math. Comput. 77(263): 1653-1679 (2008) - [i6]Shaowei Lin, Bernd Sturmfels:
Polynomial relations among principal minors of a 4x4-matrix. CoRR abs/0812.0601 (2008) - 2007
- [j44]Serkan Hosten, Bernd Sturmfels:
Computing the integer programming gap. Comb. 27(3): 367-382 (2007) - [j43]Tristram Bogart, Anders Nedergaard Jensen, David E Speyer, Bernd Sturmfels, Rekha R. Thomas:
Computing tropical varieties. J. Symb. Comput. 42(1-2): 54-73 (2007) - [j42]Lior Pachter, Bernd Sturmfels:
The Mathematics of Phylogenomics. SIAM Rev. 49(1): 3-31 (2007) - [i5]Bernd Sturmfels, Josephine Yu:
Tropical Implicitization and Mixed Fiber Polytopes. CoRR abs/0706.0564 (2007) - [i4]Reinhard C. Laubenbacher, Bernd Sturmfels:
Computer algebra in systems biology. CoRR abs/0712.4248 (2007) - 2006
- [j41]Omar Colón-Reyes, Abdul Salam Jarrah, Reinhard C. Laubenbacher, Bernd Sturmfels:
Monomial Dynamical Systems over Finite Fields. Complex Syst. 16(4) (2006) - [j40]Ingileif B. Hallgrímsdóttir, Bernd Sturmfels:
Resultants in genetic linkage analysis. J. Symb. Comput. 41(2): 125-137 (2006) - [j39]Jiawang Nie, James Demmel, Bernd Sturmfels:
Minimizing Polynomials via Sum of Squares over the Gradient Ideal. Math. Program. 106(3): 587-606 (2006) - [j38]Colin N. Dewey, Peter Huggins, Kevin Woods, Bernd Sturmfels, Lior Pachter:
Parametric Alignment of Drosophila Genomes. PLoS Comput. Biol. 2(6) (2006) - [c8]Ioannis A. Fotiou, Philipp Rostalski, Bernd Sturmfels, Manfred Morari:
An algebraic geometry approach to nonlinear parametric optimization in control. ACC 2006: 1-6 - [c7]Jason Morton, Lior Pachter, Anne Shiu, Bernd Sturmfels, Oliver Wienand:
Geometry of rank tests. Probabilistic Graphical Models 2006: 207-214 - [i3]Bernd Sturmfels, Jenia Tevelev, Josephine Yu:
The Newton Polytope of the Implicit Equation. CoRR abs/math/0607368 (2006) - 2005
- [j37]Serkan Hosten, Amit Khetan, Bernd Sturmfels:
Solving the Likelihood Equations. Found. Comput. Math. 5(4): 389-407 (2005) - [j36]Bernd Sturmfels, Seth Sullivant:
Toric Ideals of Phylogenetic Invariants. J. Comput. Biol. 12(2): 204-228 (2005) - [j35]