Serkan Hoşten

Most-cited papers

Monomial Ideals
Serkan Hoşten, Gregory G. Smith
20011,151 citations
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The maximum likelihood degree
F. Catanese, Serkan Hoşten, Amit Khetan, B. Sturmfels
2004170 citations Open access
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Solving the Likelihood Equations
Serkan Hoşten, Amit Khetan, B. Sturmfels
2004Foundations of Computational Mathematics121 citations Open access
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A finiteness theorem for Markov bases of hierarchical models
Serkan Hoşten, S. Sullivant
2004Journal of Combinatorial Theory92 citations Open access
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Gröbner Bases and Polyhedral Geometry of Reducible and Cyclic Models
Serkan Hoşten, S. Sullivant
2002Journal of Combinatorial Theory86 citations Open access
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The polytope of all triangulations of a point configuration
J. De Loera, Serkan Hoşten, F. Santos, B. Sturmfels
1996Documenta Mathematica85 citations Open access
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Primary Decomposition of Lattice Basis Ideals
Serkan Hoşten, J. Shapiro
2000Journal of symbolic computation84 citations Open access
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GRIN: An Implementation of Gröbner Bases for Integer Programming
Serkan Hoşten, B. Sturmfels
1995Conference on Integer Programming and Combinatorial Optimization79 citations
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Root Polytopes and Growth Series of Root Lattices
Federico Ardila, Matthias Beck, Serkan Hoşten, Julian Pfeifle +1 more
2008SIAM Journal on Discrete Mathematics76 citations Open access
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Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering
E. Green, Serkan Hoşten, Reinhard C. Laubenbacher, V. Powers
200157 citations
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The maximum likelihood degree of toric varieties
Carlos Améndola, N. Bliss, Isaac Burke, Courtney R. Gibbons +5 more
2017Journal of symbolic computation56 citations Open access
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Ideals of adjacent minors
Serkan Hoşten, S. Sullivant
200356 citations Open access
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The order dimension of the complete graph
Serkan Hoşten, W. Morris
1999Discrete Mathematics48 citations Open access
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Counting and locating the solutions of polynomial systems of maximum likelihood equations, I
Max Buot, Serkan Hoşten, D. St, P. Richards
2006Journal of symbolic computation39 citations Open access
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Nice Initial Complexes of Some Classical Ideals
A. Conca, Serkan Hoşten, Rekha R. Thomas
200538 citations
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Gomory integer programs
Serkan Hoşten, Rekha R. Thomas
2001Mathematical programming37 citations
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Computing the integer programming gap
Serkan Hoşten, B. Sturmfels
2003Comb.35 citations Open access
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Cyclotomic Polytopes and Growth Series of Cyclotomic Lattices
Matthias Beck, Serkan Hoşten
200524 citations Open access
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Standard pairs and group relaxations in integer programming
Serkan Hoşten, Rekha R. Thomas
199924 citations Open access
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Supernormal Vector Configurations
Serkan Hoşten, D. Maclagan, B. Sturmfels
200119 citations Open access
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Computational algebra for bifurcation theory
K. Gatermann, Serkan Hoşten
2005Journal of symbolic computation18 citations Open access
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Maximum likelihood estimation of the Latent Class Model through model boundary decomposition
E. Allman, H. Cervantes, Robin J. Evans, Serkan Hoşten +4 more
2017Journal of Algebraic Statistics16 citations Open access
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Lonely Runner Polyhedra
Matthias Beck, Serkan Hoşten, Matthias Schymura
2016Integers16 citations
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SAGBI and SAGBI-Gröbner Bases over Principal Ideal Domains
W. W. Adams, Serkan Hoşten, P. Loustaunau, J. L. Miller
1999Journal of symbolic computation14 citations Open access
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Gröbner Bases and Applications: Gröbner Bases and Integer Programming
Serkan Hoşten, Rekha R. Thomas
199812 citations
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Average behavior of minimal free resolutions of monomial ideals
J. De Loera, Serkan Hoşten, Robert Krone, Lily Silverstein
2018Proceedings of the American Mathematical Society11 citations Open access
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Matroid stratification of ML degrees of independence models
Oliver Clarke, Serkan Hoşten, Nataliia Kushnerchuk, Janike Oldekop
2023Algebraic Statistics9 citations Open access
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The vertex ideal of a lattice
Serkan Hoşten, D. Maclagan
2000Advances in Applied Mathematics9 citations Open access
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Trends in Optimization
Serkan Hoşten, Jon Lee, Rekha R. Thomas
20048 citations
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Symmetry Adapted Gram Spectrahedra
Alexander Heaton, Serkan Hoşten, Isabelle Shankar
2020SIAM Journal on applied algebra and geometry5 citations Open access
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Least Squares Methods for Equidistant Tree Reconstruction
Conor Fahey, Serkan Hoşten, Nathan Krieger, L. Timpe
20085 citations
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Normal Toric Ideals of Low Codimension
P. Dueck, Serkan Hoşten, B. Sturmfels
20085 citations Open access
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Tropical Toric Maximum Likelihood Estimation
Emma Boniface, K. Devriendt, Serkan Hoşten
2024SIAM Journal on applied algebra and geometry4 citations Open access
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Introductory Notes to Algebraic Statistics
Serkan Hoşten, Suela Ruffa
20054 citations
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Grassmann and flag varieties in linear algebra, optimization, and statistics: An algebraic perspective
Hannah Friedman, Serkan Hoşten
2025Advances in Applied Mathematics3 citations Open access
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Complex Critical Points of Deep Linear Neural Networks
Ayush Bharadwaj, Serkan Hoşten
2023arXiv.org3 citations Open access
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Equations of Tree Tensor Network Varieties
Serkan Hoşten, Niharika Chakrabarty Paul, Otto T. P. Schmidt, Dmitry Skurt
20262 citations
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Degrees of the Wasserstein distance to small toric models
Greg DePaul, Serkan Hoşten, Nilava Metya, I. Nometa
2024Algebraic Statistics2 citations Open access
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Maximum information divergence from linear and toric models
Yulia Alexandr, Serkan Hoşten
2023Information Geometry2 citations Open access
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Logarithmic Voronoi cells for Gaussian models
Yulia Alexandr, Serkan Hoşten
2022Journal of symbolic computation2 citations Open access
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UCSF Comprehensive Cancer Center)
J. Arsuaga, Serkan Hoşten, B. Sturmfels, Mariel Vazquez
20052 citations
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On the complexity of smooth projective toric varieties
Serkan Hoşten
19962 citations
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The degree of the central curve in semidefinite, linear, and quadratic programming.
Serkan Hoşten, Isabelle Shankar, Ang'elica Torres
20201 citations
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Uncovering Proximity of Chromosome Territories using Classical Algebraic Statistics
J. Arsuaga, Ido Heskia, Serkan Hoşten, Tatsiana Maskalevich
20141 citations Open access
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Euclidean Distance Optimization Within the Grassmannian
Hannah Friedman, Serkan Hoşten, Andrea Rosana
20260 citations
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Uniqueness of size-2 positive semidefinite matrix factorizations
Kristen Dawson, Serkan Hoşten, Kaie Kubjas, Lilja Metsälampi
20240 citations
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Preface : IMSI “Apprenticeship Week” Projects
Serkan Hoşten, Kaie Kubjas, Bernd Sturmfels
2024Algebraic Statistics0 citations Open access
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Critical Points of Deep Linear Networks in CN
Serkan Hoşten
20220 citations
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Algebraic Statistics in non-parametric Information Geometry
Serkan Hoşten, L. Pachter, B. Sturmfels
20080 citations
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A Canonical Form of Polyhedra and a Combinatorial Algorithm for Integer feasibility
J. De Loera, Serkan Hoşten, S. Onn, Qiang Wang
20060 citations
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