S. Aoki

activity

20052026

most citedIndispensable monomials of toric ideals and Markov bases

39 citations · 99 across the 18 of their papers we have counts for

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Showing 2013 · math.STShow all

2 papers · 2 filters

math.ST2013

Markov chain Monte Carlo methods for the regular two-level fractional factorial designs and cut ideals

Satoshi Aoki, Takayuki Hibi, Hidefumi Ohsugi

It is known that a Markov basis of the binary graph model of a graph $G$ corresponds to a set of binomial generators of cut ideals $I_{G}$ of the suspension $G$ …

math.ST2013

Minimal Markov basis for tests of main effect models for $2^{p - 1}$ fractional factorial designs of resolution $p$

Satoshi Aoki

We consider conditional exact tests of factor effects in designed experiments for discrete response variables. Similarly to the analysis of contingency tables, Markov chain Monte C…

Markov chain Monte Carlo methods for the regular two-level fractional factorial designs and cut ideals

Minimal Markov basis for tests of main effect models for 2p−1 fractional factorial designs of resolution p

Minimal Markov basis for tests of main effect models for $2^{p - 1}$ fractional factorial designs of resolution $p$