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A Divide-and-Conquer Algorithm for Generating Markov Bases of Multi-way Tables
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Gröbner Bases and Polyhedral Geometry of Reducible and Cyclic Models
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Ideals, Varieties, and Algorithms
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Graph Theory and Sparse Matrix Computation
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An Introduction to Chordal Graphs and Clique Trees
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Ideals, Varieties, and Algorithms
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Algebraic unimodular counting
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Optimal decomposition by clique separators
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Conditions for the existence of solutions of the three-dimensional planar transportation problem
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Data-swapping: A technique for disclosure control
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Bounds for cell entries in contingency tables given marginal totals and decomposable graphs
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Graphical Models in Applied Multivariate Statistics
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The exact analysis of contingency tables in medical research
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Algebraic algorithms for sampling from conditional distributions
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Testing for Independence in a Two-Way Table: New Interpretations of the Chi-Square Statistic
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A Survey of Exact Inference for Contingency Tables
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[A Survey of Exact Inference for Contingency Tables]: Rejoinder
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Bayesian Graphical Models for Discrete Data
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The Diaconis-Sturmfels Algorithm and Rules of Succession
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Markov bases for decomposable graphical models
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Algebraic Statistics and Methods in Systems Biology
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Conditional inference given partial information in contingency tables using Markov bases
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Decomposable Models of Contingency Tables
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Markov Basis for No-Three-Factor Interaction Models and Some Other Hierarchical Models
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Lectures on Algebraic Statistics
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Some characterizations of minimal Markov basis for sampling from discrete conditional distributions
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Markov Bases of Binary Graph Models
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Conditions for swappability of records in a microdata set when some marginals are fixed
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Goodness of fit for log-linear network models: dynamic Markov bases using hypergraphs
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Hybrid schemes for exact conditional inference in discrete exponential families
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A Markov basis for conditional test of common diagonal effect in quasi-independence model for square contingency tables
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A finiteness theorem for Markov bases of hierarchical models
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Hierarchical subspace models for contingency tables
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Markov bases for typical block effect models of two-way contingency tables
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Markov bases for two-way subtable sum problems
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The generalised shuttle algorithm
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Markov Bases: A 25 Year Update
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Power analysis of independence testing for three-way contingency tables of small sizes
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Lattice points, contingency tables, and sampling
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A survey of discrete methods in (algebraic) statistics for networks
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COMBINATORIAL DEGREE BOUND FOR TORIC IDEALS OF HYPERGRAPHS
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Stephen Elliott Fienberg 1942–2016, Founding Editor of the Annual Review of Statistics and Its Application
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Algebraic and Geometric Properties of Hierarchical Models
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Algebraic and combinatorial aspects of group-based models
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New directions in algebraic statistics: Three challenges from 2023
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Minimal and minimal invariant Markov bases of decomposable models for contingency tables
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Markov bases for decomposable graphical models
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Toric Ideals for (25n3-66n2+41n)×3×n Contingency Tables
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Combinatorial degree bound for toric ideals of hypergraphs
inferred← citeshttps://doi.org/10.48550/arxiv.math/0308280openalex-snapshot
Markov bases of binary graph models
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Barvinok's Rational Functions: Algorithms and Applications to Optimization, Statistics, and Algebra
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Algebraic statistical models
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A simplification of computing Markov bases for graphical models whose underlying graphs are suspensions of graphs
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