Author:
Aoki Satoshi,Takemura Akimichi
Reference26 articles.
1. S. Aoki, A. Takemura, Minimal basis for a connected Markov chain over 3 × 3 × K contingency tables with fixed two-dimensional marginals. Aust. N. Z. J. Stat. 45, 229–249 (2003)
2. S. Aoki, A. Takemura, The list of indispensable moves of unique minimal Markov basis for 3 × 4 × K and 4 × 4 × 4 contingency tables with fixed two-dimensional marginals. Technical Report METR 03-38, Department of Mathematical Engineering and Information Physics, The University of Tokyo (2003)
3. S. Aoki, A. Takemura, Minimal invariant Markov basis for sampling contingency tables with fixed marginals. Ann. Inst. Stat. Math. 60, 229–256 (2008)
4. S. Aoki, A. Takemura, The largest group of invariance for Markov bases and toric ideals. J. Symb. Comput. 43, 342–358 (2008)
5. S. Aoki, A. Takemura, A short survey on design of experiments and Gröbner bases. Bull. Jpn. Soc. Symb. Algebr. Comput. 16(2), 15–22 (2009) (in Japanese)