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Updated: April 5th, 2024 06:00

2023 journal article

Identifiability of linear compartmental tree models and a general formula for input-output equations

*ADVANCES IN APPLIED MATHEMATICS*, *146*.

Source: Web Of Science

Added: February 27, 2023

2023 journal article

On mixing behavior of a family of random walks determined by a linear recurrence

*DISCRETE MATHEMATICS*, *346*(1).

author keywords: Random walk; Mixing time; Linear recurrence

Source: Web Of Science

Added: October 31, 2022

2023 journal article

The h*-polynomial of the order polytope of the zig-zag poset

*ELECTRONIC JOURNAL OF COMBINATORICS*, *30*(2).

co-author countries:
Slovakia 🇸🇰

Source: Web Of Science

Added: July 10, 2023

2022 journal article

Directed Gaussian graphical models with toric vanishing ideals

*ADVANCES IN APPLIED MATHEMATICS*, *138*.

author keywords: Clique sum; d-Separation; t-Separation; Shortest trek map; Safe gluing

Source: Web Of Science

Added: August 15, 2022

2022 article

Exchangeable and sampling-consistent distributions on rooted binary trees

Hollering, B., & Sullivant, S. (2022, January 14). *JOURNAL OF APPLIED PROBABILITY*.

author keywords: Beta-splitting model; multinomial model; random trees

Source: Web Of Science

Added: January 24, 2022

2022 journal article

Structural identifiability of series-parallel LCR systems

*JOURNAL OF SYMBOLIC COMPUTATION*, *112*, 79–104.

Source: Web Of Science

Added: March 14, 2022

2021 journal article

Identifiability in phylogenetics using algebraic matroids

*JOURNAL OF SYMBOLIC COMPUTATION*, *104*, 142–158.

Source: Web Of Science

Added: January 19, 2021

2021 journal article

Quasi-independence models with rational maximum likelihood estimator

*JOURNAL OF SYMBOLIC COMPUTATION*, *104*, 917–941.

Source: Web Of Science

Added: January 19, 2021

2019 journal article

BOUNDS ON THE EXPECTED SIZE OF THE MAXIMUM AGREEMENT SUBTREE FOR A GIVEN TREE SHAPE

*SIAM JOURNAL ON DISCRETE MATHEMATICS*, *33*(4), 2316–2325.

author keywords: maximum agreement subtree; exchangeability; sampling consistency

Source: Web Of Science

Added: June 29, 2020

2019 journal article

Strongly Robust Toric Ideals in Codimension 2

*Journal of Algebraic Statistics*, *10*(1), 128–136.

author keywords: toric ideal; Graver basis; robust; Hilbert basis

Source: Crossref

Added: June 20, 2019

2018 monograph

Algebraic Statistics

Source: Crossref

Added: June 30, 2019

2018 journal article

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

*Bulletin of Mathematical Biology*, *81*(2), 431–451.

author keywords: k-mer method; Coalescent; Algebraic geometry

MeSH headings : Algorithms; Computational Biology; Evolution, Molecular; Markov Chains; Mathematical Concepts; Models, Genetic; Models, Statistical; Mutation; Phylogeny; Probability; Sequence Alignment / statistics & numerical data; Stochastic Processes

Sources: Web Of Science, Crossref

Added: February 11, 2019

2018 journal article

The maximum likelihood threshold of a graph

*BERNOULLI*, *24*(1), 386–407.

Source: Web Of Science

Added: August 6, 2018

2017 journal article

Normal Binary Hierarchical Models

*EXPERIMENTAL MATHEMATICS*, *26*(2), 153–164.

Source: Web Of Science

Added: August 6, 2018

2017 journal article

Statistically Consistent k-mer Methods for Phylogenetic Tree Reconstruction

*JOURNAL OF COMPUTATIONAL BIOLOGY*, *24*(2), 153–171.

author keywords: phylogenetic trees; alignment-free methods; k-mer

MeSH headings : Algorithms; Base Sequence; Computer Simulation; Evolution, Molecular; Models, Genetic; Phylogeny; Sequence Alignment; Sequence Analysis, DNA

Source: Web Of Science

Added: August 6, 2018

2017 journal article

Unimodular binary hierarchical models

*JOURNAL OF COMBINATORIAL THEORY SERIES B*, *123*, 97–125.

Source: Web Of Science

Added: August 6, 2018

2016 journal article

Lifting Markov bases and higher codimension toric fiber products

*Journal of Symbolic Computation*, *74*, 276–307.

co-author countries:
Germany 🇩🇪

author keywords: Markov bases; Toric fiber product; Lifting; Grobner bases

Source: Crossref

Added: June 30, 2019

2016 journal article

Matrix Schubert varieties and Gaussian conditional independence models

*JOURNAL OF ALGEBRAIC COMBINATORICS*, *44*(4), 1009–1046.

co-author countries:
United Kingdom of Great Britain and Northern Ireland 🇬🇧

Source: Web Of Science

Added: August 6, 2018

2015 journal article

BOUNDS ON THE EXPECTED SIZE OF THE MAXIMUM AGREEMENT SUBTREE

*SIAM JOURNAL ON DISCRETE MATHEMATICS*, *29*(4), 2065–2074.

author keywords: random trees; agreement subtrees; Yule-Harding distribution

Source: Web Of Science

Added: August 6, 2018

2015 journal article

Identifiability Results for Several Classes of Linear Compartment Models

*BULLETIN OF MATHEMATICAL BIOLOGY*, *77*(8), 1620–1651.

author keywords: Identifiability; Linear compartment models; Identifiable functions; Differential algebra

MeSH headings : Animals; Endosomes / metabolism; Humans; Linear Models; Manganese / pharmacokinetics; Mathematical Concepts; Models, Biological; Rats

Source: Web Of Science

Added: August 6, 2018

2015 journal article

Identifiability of 3-class Jukes-Cantor mixtures

*ADVANCES IN APPLIED MATHEMATICS*, *64*, 89–110.

Source: Web Of Science

Added: August 6, 2018

2015 journal article

Tying up loose strands: Defining equations of the strand symmetric model

*Journal of Algebraic Statistics*, *6*(1), 17–23.

Source: NC State University Libraries

Added: August 6, 2018

2014 journal article

Distance-Based Phylogenetic Methods Around a Polytomy

*IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS*, *11*(2), 325–335.

author keywords: Neighbor-joining; phylogeny; polyhedra; polytomy; UPGMA

MeSH headings : Algorithms; Computational Biology / methods; Evolution, Molecular; Models, Genetic; Phylogeny

Source: Web Of Science

Added: August 6, 2018

2014 journal article

Identifiable reparametrizations of linear compartment models

*JOURNAL OF SYMBOLIC COMPUTATION*, *63*, 46–67.

author keywords: Identifiability; Compartment models; Reparametrization

Source: Web Of Science

Added: August 6, 2018

2014 journal article

Multigraded commutative algebra of graph decompositions

*JOURNAL OF ALGEBRAIC COMBINATORICS*, *39*(2), 335–372.

co-author countries:
Germany 🇩🇪 Finland 🇫🇮

Source: Web Of Science

Added: August 6, 2018

2014 journal article

POSITIVE MARGINS AND PRIMARY DECOMPOSITION

*JOURNAL OF COMMUTATIVE ALGEBRA*, *6*(2), 173–208.

Source: Web Of Science

Added: August 6, 2018

2014 journal article

Structural Identifiability of Viscoelastic Mechanical Systems

*PLOS ONE*, *9*(2).

Source: Web Of Science

Added: August 6, 2018

2013 journal article

Graphical models

*Journal of Software for Algebra and Geometry*, *5*(1), 1–7.

Source: Crossref

Added: June 30, 2019

2013 journal article

Polyhedral combinatorics of UPGMA cones

*ADVANCES IN APPLIED MATHEMATICS*, *50*(2), 327–338.

author keywords: Phylogenetic trees; Polyhedral combinatorics; Partition lattice

Source: Web Of Science

Added: August 6, 2018

2013 journal article

Positivity for Gaussian graphical models

*ADVANCES IN APPLIED MATHEMATICS*, *50*(5), 661–674.

co-author countries:
Netherlands 🇳🇱

Source: Web Of Science

Added: August 6, 2018

2012 journal article

Finite Gröbner bases in infinite dimensional polynomial rings and applications

*Advances in Mathematics*, *229*(1), 1–25.

Sources: Web Of Science, Crossref

Added: August 6, 2018

2012 journal article

Geodesics in CAT(0) cubical complexes

*ADVANCES IN APPLIED MATHEMATICS*, *48*(1), 142–163.

Source: Web Of Science

Added: August 6, 2018

2012 journal article

Identifiability of Large Phylogenetic Mixture Models

*BULLETIN OF MATHEMATICAL BIOLOGY*, *74*(1), 212–231.

author keywords: Phylogenetic mixture model; Parameter identifiability

MeSH headings : Evolution, Molecular; Models, Genetic; Models, Statistical; Phylogeny

Source: Web Of Science

Added: August 6, 2018

2012 journal article

THE DISENTANGLING NUMBER FOR PHYLOGENETIC MIXTURES

*SIAM JOURNAL ON DISCRETE MATHEMATICS*, *26*(2), 856–859.

author keywords: phylogenetics; mixture models; contingency tables; trees

Source: Web Of Science

Added: August 6, 2018

2012 journal article

When Do Phylogenetic Mixture Models Mimic Other Phylogenetic Models?

*SYSTEMATIC BIOLOGY*, *61*(6), 1049–1059.

author keywords: Phylogenetic mixture models; parameter identifiability; heterogeneous sequence evolution

MeSH headings : Algorithms; Computer Simulation; Data Interpretation, Statistical; Models, Biological; Phylogeny

Source: Web Of Science

Added: August 6, 2018

2011 journal article

Eulerian-Catalan numbers

*Electronic Journal of Combinatorics*, * 18*(1).

Source: NC State University Libraries

Added: August 6, 2018

2011 journal article

GLOBAL IDENTIFIABILITY OF LINEAR STRUCTURAL EQUATION MODELS

*ANNALS OF STATISTICS*, *39*(2), 865–886.

Source: Web Of Science

Added: August 6, 2018

2011 journal article

Identifiability of Two-Tree Mixtures for Group-Based Models

*IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS*, *8*(3), 710–722.

author keywords: Phylogenetic mixture; group-based model; identifiability of phylogenetic models

MeSH headings : Algorithms; Computational Biology / methods; DNA / genetics; Databases, Nucleic Acid; Markov Chains; Models, Genetic; Models, Statistical; Phylogeny

Source: Web Of Science

Added: August 6, 2018

2010 journal article

Normal binary graph models

*ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS*, *62*(4), 717–726.

author keywords: Marginal cone; Normal semigroup; Algebraic statistics

Source: Web Of Science

Added: August 6, 2018

2010 journal article

Normal binary graph models.

*Annals of the Institute of Statistical Mathematics, Special Issue: Algebraic Methods in Computational Statistics*, *64*(4), 717–726.

Source: NC State University Libraries

Added: July 10, 2019

2010 journal article

TREK SEPARATION FOR GAUSSIAN GRAPHICAL MODELS

*ANNALS OF STATISTICS*, *38*(3), 1665–1685.

Source: Web Of Science

Added: August 6, 2018

2009 journal article

A Gröbner basis for the secant ideal of the second hypersimplex

*Journal of Commutative Algebra*, *1*(2), 327–338.

Source: Crossref

Added: June 30, 2019

2009 book

Emerging Applications of Algebraic Geometry

In *The IMA Volumes in Mathematics and its Applications*.

Ed(s): M. Putinar & ^{*}

Source: Crossref

Added: June 30, 2019

2009 article

Gaussian conditional independence relations have no finite complete characterization

Sullivant, S. (2009, August). *JOURNAL OF PURE AND APPLIED ALGEBRA*, Vol. 213, pp. 1502–1506.

Source: Web Of Science

Added: August 6, 2018

2009 book

Lectures on Algebraic Statistics

Source: Crossref

Added: June 30, 2019

2009 journal article

Markov models for accumulating mutations

*BIOMETRIKA*, *96*(3), 645–661.

co-author countries:
Switzerland 🇨🇭

author keywords: Bayesian network; Cancer; Genetic progression; HIV; Partially ordered set; Poset

Source: Web Of Science

Added: August 6, 2018

2009 journal article

Prolongations and Computational Algebra

*CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES*, *61*(4), 930–949.

Source: Web Of Science

Added: August 6, 2018

2008 journal article

Algebraic geometry of Gaussian Bayesian networks

*Advances in Applied Mathematics*, *40*(4), 482–513.

Source: Crossref

Added: June 30, 2019

2008 journal article

Combinatorial symbolic powers

*Journal of Algebra*, *319*(1), 115–142.

author keywords: symbolic power; Grobner basis; perfect graph; edge ideal; determinantal ideal

Source: Crossref

Added: June 30, 2019

2008 journal article

Toric geometry of cuts and splits

*The Michigan Mathematical Journal*, *57*(0), 689–709.

Source: Crossref

Added: June 30, 2019

2007 journal article

A finiteness theorem for Markov bases of hierarchical models

*Journal of Combinatorial Theory, Series A*, *114*(2), 311–321.

author keywords: contingency tables; Markov bases; hierarchical models; graver complexity

Source: Crossref

Added: June 30, 2019

2007 journal article

Algebraic statistical models.

*Statistica Sinica*, *17*(4), 1273–1297.

Source: NC State University Libraries

Added: July 28, 2019

2007 journal article

Toric fiber products

*Journal of Algebra*, *316*(2), 560–577.

author keywords: Grobner basis; algebraic statistics; hierarchical model; phylogenetic invariants

Source: Crossref

Added: June 30, 2019

2006 journal article

Algebraic factor analysis: tetrads, pentads and beyond

*Probability Theory and Related Fields*, *138*(3-4), 463–493.

Source: Crossref

Added: June 30, 2019

2006 journal article

Combinatorial secant varieties.

*Quarterly Journal of Pure and Applied Mathematics*, *2*, 285–309.

Source: NC State University Libraries

Added: July 10, 2019

2006 journal article

Compressed polytopes and statistical disclosure limitation

*Tohoku Mathematical Journal*, *58*(3), 433–445.

Source: Crossref

Added: June 30, 2019

2006 journal article

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

*Journal of Symbolic Computation*, *41*(2), 222–233.

author keywords: maximum likelihood estimate (MLE); marginal cone; tree width; collapsing

Source: Crossref

Added: June 30, 2019

2006 journal article

Sequential importance sampling for multiway tables

*The Annals of Statistics*, *34*(1), 523–545.

Source: Crossref

Added: June 30, 2019

2006 journal article

The space of compatible full conditionals is a unimodular toric variety

*Journal of Symbolic Computation*, *41*(2), 196–209.

author keywords: odds ratios; toric ideal; unimodular

Source: Crossref

Added: June 30, 2019

2005 journal article

Small Contingency Tables with Large Gaps

*SIAM Journal on Discrete Mathematics*, *18*(4), 787–793.

author keywords: disclosure limitation; integer programming; Grobner basis; contingency table

Source: Crossref

Added: June 30, 2019

2005 journal article

Toric Ideals of Phylogenetic Invariants

*Journal of Computational Biology*, *12*(2), 204–228.

Source: Crossref

Added: June 30, 2019

2004 journal article

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

*Computational Statistics*, *19*(3), 347–366.

Source: Crossref

Added: June 30, 2019

2004 journal article

Ideals of adjacent minors

*Journal of Algebra*, *277*(2), 615–642.

Source: Crossref

Added: June 30, 2019

2003 journal article

Markov Bases of Binary Graph Models

*Annals of Combinatorics*, *7*(4), 441–466.

Source: Crossref

Added: June 30, 2019

2002 journal article

Gröbner Bases and Polyhedral Geometry of Reducible and Cyclic Models

*Journal of Combinatorial Theory, Series A*, *100*(2), 277–301.

Source: Crossref

Added: June 30, 2019

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