A "Relaxed" Markov Basis for the No 3-way Interaction Model

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Host

Applied Mathematics

Description

ABSTRACT: In this talk, I will discuss a conjecture related to the computation of Markov bases for the no 3-way interaction model. I will define the no 3-way interaction model and give the appropriate background information necessary to understand the conjecture.

The main references for the talk are:
1. Chapter 9 of Markov Bases in Algebraic Statistics (Aoki, Hara, and Takemura)
2. Section 3 of Toric Algebra of Hypergraphs (Petrović and Stasi, 2014) (definition of parameter hypergraph)

For background on Markov bases in general, see Algebraic algorithms for sampling from conditional distributions (Diaconis and Sturmfels, 1998)

Event Topic

Nonlinear Algebra and Statistics (NLASTATS)

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