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1

Ideals of adjacent minors

Serkan Hoşten, Seth Sullivant

Journal:

Journal of Algebra

Year:

2004

Language:

english

File:

PDF, 555 KB

english, 2004

2

Toric fiber products

Journal:

Journal of Algebra

Year:

2007

Language:

english

File:

PDF, 202 KB

english, 2007

3

Combinatorial symbolic powers

Journal:

Journal of Algebra

Year:

2008

Language:

english

File:

PDF, 268 KB

english, 2008

4

Algebraic factor analysis: tetrads, pentads and beyond

Mathias Drton, Bernd Sturmfels, Seth Sullivant

Journal:

Probability Theory and Related Fields

Year:

2007

Language:

english

File:

PDF, 403 KB

english, 2007

5

Geodesics in CAT(0) cubical complexes

Federico Ardila, Megan Owen, Seth Sullivant

Journal:

Advances in Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 321 KB

english, 2012

6

Finite Gröbner bases in infinite dimensional polynomial rings and applications

Christopher J. Hillar, Seth Sullivant

Journal:

Advances in Mathematics

Year:

2012

Language:

english

File:

PDF, 235 KB

english, 2012

7

[The IMA Volumes in Mathematics and its Applications] Emerging Applications of Algebraic Geometry Volume 149 ||

Putinar, Mihai, Sullivant, Seth

Year:

2009

Language:

english

File:

PDF, 60.12 MB

english, 2009

8

Toric Ideals of Phylogenetic Invariants

Sturmfels, Bernd, Sullivant, Seth

Journal:

Journal of Computational Biology

Year:

2005

Language:

english

File:

PDF, 220 KB

english, 2005

9

Toric Ideals of Phylogenetic Invariants

Sturmfels, Bernd, Sullivant, Seth

Journal:

Journal of Computational Biology

Year:

2005

Language:

english

File:

PDF, 198 KB

english, 2005

10

Identifiability Results for Several Classes of Linear Compartment Models

Meshkat, Nicolette, Sullivant, Seth, Eisenberg, Marisa

Journal:

Bulletin of Mathematical Biology

Year:

2015

Language:

english

File:

PDF, 1015 KB

english, 2015

11

Normal Binary Hierarchical Models

Bernstein, Daniel Irving, Sullivant, Seth

Journal:

Experimental Mathematics

Year:

2017

Language:

english

File:

PDF, 662 KB

english, 2017

12

Toric geometry of the Cavender-Farris-Neyman model with a molecular clock

Coons, Jane Ivy, Sullivant, Seth

Journal:

Advances in Applied Mathematics

Year:

2021

File:

PDF, 783 KB

2021

13

Gröbner Bases and Polyhedral Geometry of Reducible and Cyclic Models

Serkan Hoşten, Seth Sullivant

Journal:

Journal of Combinatorial Theory, Series A

Year:

2002

Language:

english

File:

PDF, 234 KB

english, 2002

14

Algebraic geometry of Gaussian Bayesian networks

Journal:

Advances in Applied Mathematics

Year:

2008

Language:

english

File:

PDF, 285 KB

english, 2008

15

Gaussian conditional independence relations have no finite complete characterization

Journal:

Journal of Pure and Applied Algebra

Year:

2009

Language:

english

File:

PDF, 343 KB

english, 2009

16

Polyhedral conditions for the nonexistence of the MLE for hierarchical log-linear models

Nicholas Eriksson, Stephen E. Fienberg, Alessandro Rinaldo, Seth Sullivant

Journal:

Journal of Symbolic Computation

Year:

2006

Language:

english

File:

PDF, 237 KB

english, 2006

17

The space of compatible full conditionals is a unimodular toric variety

Aleksandra B. Slavkovic, Seth Sullivant

Journal:

Journal of Symbolic Computation

Year:

2006

Language:

english

File:

PDF, 253 KB

english, 2006

18

Markov Bases of Binary Graph Models

Mike Develin, Seth Sullivant

Journal:

Annals of Combinatorics

Year:

2003

Language:

english

File:

PDF, 309 KB

english, 2003

19

Normal binary graph models

Journal:

Annals of the Institute of Statistical Mathematics

Year:

2010

Language:

english

File:

PDF, 145 KB

english, 2010

20

Identifiability of Large Phylogenetic Mixture Models

John A. Rhodes, Seth Sullivant

Journal:

Bulletin of Mathematical Biology

Year:

2012

Language:

english

File:

PDF, 641 KB

english, 2012

21

A finiteness theorem for Markov bases of hierarchical models

Serkan Hoşten, Seth Sullivant

Journal:

Journal of Combinatorial Theory, Series A

Year:

2007

Language:

english

File:

PDF, 151 KB

english, 2007

22

The Disentangling Number for Phylogenetic Mixtures

Sullivant, Seth

Journal:

SIAM Journal on Discrete Mathematics

Year:

2012

Language:

english

File:

PDF, 131 KB

english, 2012

23

Small Contingency Tables with Large Gaps

Sullivant, Seth

Journal:

SIAM Journal on Discrete Mathematics

Year:

2005

Language:

english

File:

PDF, 125 KB

english, 2005

24

Polyhedral combinatorics of UPGMA cones

Ruth Davidson, Seth Sullivant

Journal:

Advances in Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 222 KB

english, 2013

25

[The IMA Volumes in Mathematics and its Applications] Emerging Applications of Algebraic Geometry Volume 149 || Positivity and Sums of Squares: A Guide to Recent Results

Putinar, Mihai, Sullivant, Seth

Year:

2009

Language:

english

File:

PDF, 8.98 MB

english, 2009

26

Positivity for Gaussian graphical models

Draisma, Jan, Sullivant, Seth, Talaska, Kelli

Journal:

Advances in Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 250 KB

english, 2013

27

Multigraded commutative algebra of graph decompositions

Alexander Engström, Thomas Kahle, Seth Sullivant

Journal:

Journal of Algebraic Combinatorics

Year:

2014

Language:

english

File:

PDF, 1.11 MB

english, 2014

28

[The IMA Volumes in Mathematics and its Applications] Emerging Applications of Algebraic Geometry Volume 149 || Noncommutative Real Algebraic Geometry Some Basic Concepts and First Ideas

Putinar, Mihai, Sullivant, Seth

Year:

2009

Language:

english

File:

PDF, 4.43 MB

english, 2009

29

Identifiable reparametrizations of linear compartment models

Meshkat, Nicolette, Sullivant, Seth

Journal:

Journal of Symbolic Computation

Year:

2014

Language:

english

File:

PDF, 365 KB

english, 2014

30

Distance-Based Phylogenetic Methods Around a Polytomy

Davidson, Ruth, Sullivant, Seth

Journal:

IEEE/ACM Transactions on Computational Biology and Bioinformatics

Year:

2014

Language:

english

File:

PDF, 1.01 MB

english, 2014

31

Identifiability of 3-class Jukes–Cantor mixtures

Long, Colby, Sullivant, Seth

Journal:

Advances in Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 492 KB

english, 2015

32

Sequential Importance Sampling for Multiway Tables

Yuguo Chen, Ian H. Dinwoodie and Seth Sullivant

Journal:

The Annals of Statistics

Year:

2006

Language:

english

File:

PDF, 2.44 MB

english, 2006

33

[ACM Press the 37th International Symposium - Grenoble, France (2012.07.22-2012.07.25)] Proceedings of the 37th International Symposium on Symbolic and Algebraic Computation - ISSAC '12 - Algebraic statistics

Sullivant, Seth

Year:

2012

Language:

english

File:

PDF, 100 KB

english, 2012

34

GLOBAL IDENTIFIABILITY OF LINEAR STRUCTURAL EQUATION MODELS

Mathias Drton, Rina Foygel and Seth Sullivant

Journal:

The Annals of Statistics

Year:

2011

Language:

english

File:

PDF, 1.62 MB

english, 2011

35

Lifting Markov bases and higher codimension toric fiber products

Rauh, Johannes, Sullivant, Seth

Journal:

Journal of Symbolic Computation

Year:

2016

Language:

english

File:

PDF, 717 KB

english, 2016

36

When Do Phylogenetic Mixture Models Mimic Other Phylogenetic Models?

Elizabeth S. Allman, John A. Rhodes and Seth Sullivant

Journal:

Systematic Biology

Year:

2012

Language:

english

File:

PDF, 1.86 MB

english, 2012

37

Statistically Consistent k -mer Methods for Phylogenetic Tree Reconstruction

Allman, Elizabeth S., Rhodes, John A., Sullivant, Seth

Journal:

Journal of Computational Biology

Year:

2016

Language:

english

File:

PDF, 922 KB

english, 2016

38

Positive margins and primary decomposition

Kahle, Thomas, Rauh, Johannes, Sullivant, Seth

Journal:

Journal of Commutative Algebra

Year:

2014

Language:

english

File:

PDF, 300 KB

english, 2014

39

Bounds on the Expected Size of the Maximum Agreement Subtree

Bernstein, Daniel Irving, Tung Ho, Lam Si, Long, Colby, Steel, Mike, John, Katherine St., Sullivant, Seth

Journal:

SIAM Journal on Discrete Mathematics

Year:

2015

Language:

english

File:

PDF, 198 KB

english, 2015

40

Global identifiability of linear structural equation models

Drton, Mathias, Foygel, Rina, Sullivant, Seth

Journal:

The Annals of Statistics

Year:

2011

Language:

english

File:

PDF, 271 KB

english, 2011

41

Trek separation for Gaussian graphical models

Sullivant, Seth, Talaska, Kelli, Draisma, Jan

Journal:

The Annals of Statistics

Year:

2010

Language:

english

File:

PDF, 200 KB

english, 2010

42

Unimodular binary hierarchical models

Bernstein, Daniel Irving, Sullivant, Seth

Journal:

Journal of Combinatorial Theory, Series B

Year:

2017

Language:

english

File:

PDF, 1.24 MB

english, 2017

43

Matrix Schubert varieties and Gaussian conditional independence models

Alex Fink,Jenna Rajchgot,Seth Sullivant

Journal:

Journal of Algebraic Combinatorics

Year:

2016

Language:

english

File:

PDF, 732 KB

english, 2016

44

A Divide-and-Conquer Algorithm for Generating Markov Bases of Multi-way Tables

Adrian Dobra,Seth Sullivant

Journal:

Computational Statistics

Year:

2004

Language:

english

File:

PDF, 1.60 MB

english, 2004

45

The maximum likelihood threshold of a graph

Gross, Elizabeth, Sullivant, Seth

Journal:

Year:

2018

Language:

english

File:

PDF, 230 KB

english, 2018

46

Identifiability of Phylogenetic Parameters from k-mer Data Under the Coalescent

Durden, Chris, Sullivant, Seth

Journal:

Bulletin of Mathematical Biology

Year:

2018

Language:

english

File:

PDF, 590 KB

english, 2018

47

Structural Identifiability of Viscoelastic Mechanical Systems

Mahdi, Adam, Meshkat, Nicolette, Sullivant, Seth, Kreplak, Laurent

Journal:

Year:

2014

Language:

english

File:

PDF, 752 KB

english, 2014

48

Toric geometry of cuts and splits

Sturmfels, Bernd, Sullivant, Seth

Journal:

The Michigan Mathematical Journal

Year:

2008

Language:

english

File:

PDF, 177 KB

english, 2008

49

Advanced Studies in Pure Mathematics [Mathematical Society of Japan Current Trends on Gröbner Bases: The 50th Anniversary of Gröbner Bases - Osaka, Japan ()] The 50th Anniversary of Gröbner Bases - Algebraic tools for the analysis of state space models

Meshkat, Nicolette, Rosen, Zvi, Sullivant, Seth

Year:

2018

Language:

english

File:

PDF, 241 KB

english, 2018

50

Advanced Studies in Pure Mathematics [Mathematical Society of Japan Current Trends on Gröbner Bases: The 50th Anniversary of Gröbner Bases - Osaka, Japan ()] The 50th Anniversary of Gröbner Bases - Algebraic tools for the analysis of state space models

Meshkat, Nicolette, Rosen, Zvi, Sullivant, Seth

Year:

2018

File:

PDF, 241 KB

2018