78 citations · 482 across the 68 of their papers we have counts for
4 papers · 1 filter
Calculation of orthant probabilities by the holonomic gradient method
Tamio Koyama, Akimichi Takemura
We apply the holonomic gradient method (HGM) introduced by [9] to the calculation of orthant probabilities of multivariate normal distribution. The holonomic gradient method applie…
Bayesian logistic betting strategy against probability forecasting
Masayuki Kumon, Jing Li, Akimichi Takemura +1
We propose a betting strategy based on Bayesian logistic regression modeling for the probability forecasting game in the framework of game-theoretic probability by Shafer and Vovk…
Markov degree of the three-state toric homogeneous Markov chain model
David Haws, Abraham Martín del Campo, Akimichi Takemura +1
We consider the three-state toric homogeneous Markov chain model (THMC) without loops and initial parameters. At time , the size of the design matrix is $6 \times 3\cdot 2^{T-1}…
Finite-time Regret Bound of a Bandit Algorithm for the Semi-bounded Support Model
Junya Honda, Akimichi Takemura
In this paper we consider stochastic multiarmed bandit problems. Recently a policy, DMED, is proposed and proved to achieve the asymptotic bound for the model that each reward dist…