78 citations · 236 across the 18 of their papers we have counts for
4 papers · 1 filter
Perturbation method for determining the group of invariance of hierarchical models
Tomonari Sei, Satoshi Aoki, Akimichi Takemura
We propose a perturbation method for determining the (largest) group of invariance of a toric ideal defined in Aoki and Takemura [2008a]. In the perturbation method, we investigate…
The generality of the zero-one laws
Akimichi Takemura, Vladimir Vovk, Glenn Shafer
We prove game-theoretic generalizations of some well known zero-one laws. Our proofs make the martingales behind the laws explicit, and our results illustrate how martingale argume…
A Markov Basis for Conditional Test of Common Diagonal Effect in Quasi-Independence Model for Square Contingency Tables
Hisayuki Hara, Akimichi Takemura, Ruriko Yoshida
In two-way contingency tables we sometimes find that frequencies along the diagonal cells are relatively larger(or smaller) compared to off-diagonal cells, particularly in square t…
Groebner bases of nested configurations
Satoshi Aoki, Takayuki Hibi, Hidefumi Ohsugi +1
In this paper we introduce a new and large family of configurations whose toric ideals possess quadratic Groebner bases. As an application, a generalization of algebras of Segre-Ve…