27 citations · 106 across the 18 of their papers we have counts for
18 papers
Holonomic gradient method for the distribution function of the largest root of a Wishart matrix
Hiroki Hashiguchi, Yasuhide Numata, Nobuki Takayama +1
We apply the holonomic gradient method introduced by Nakayama et al.(2011) to the evaluation of the exact distribution function of the largest root of a Wishart matrix, which invol…
Properties and applications of Fisher distribution on the rotation group
Tomonari Sei, Hiroki Shibata, Akimichi Takemura +2
We study properties of Fisher distribution (von Mises-Fisher distribution, matrix Langevin distribution) on the rotation group SO(3). In particular we apply the holonomic gradient…
Running Markov chain without Markov basis
Hisayuki Hara, Satoshi Aoki, Akimichi Takemura
The methodology of Markov basis initiated by Diaconis and Sturmfels(1998) stimulated active research on Markov bases for more than ten years. It also motivated improvements of algo…
Properties of semi-elementary imsets as sums of elementary imsets
Takuya Kashimura, Tomonari Sei, Akimichi Takemura +1
We study properties of semi-elementary imsets and elementary imsets introduced by Studeny (2005). The rules of the semi-graphoid axiom (decomposition, weak union and contraction) f…
Stochastic Bandit Based on Empirical Moments
Junya Honda, Akimichi Takemura
In the multiarmed bandit problem a gambler chooses an arm of a slot machine to pull considering a tradeoff between exploration and exploitation. We study the stochastic bandit prob…
Conformal geometry of statistical manifold with application to sequential estimation
Masayuki Kumon, Akimichi Takemura, Kei Takeuchi
We present a geometrical method for analyzing sequential estimating procedures. It is based on the design principle of the second-order efficient sequential estimation provided in…