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Modiﬁcation of UCT with Patterns in Monte-Carlo Go
A Monte-Carlo Go program, MoGo, which is the first computer Go program using UCT, is developed, and the modification of UCT for Go application is explained and also the intelligent random simulation with patterns which has improved significantly the performance of MoGo.
Algorithms for Infinitely Many-Armed Bandits
A stochastic assumption is made on the mean-reward of a new selected arm which characterizes its probability of being a near-optimal arm and algorithms based on upper-confidence-bounds applied to a restricted set of randomly selected arms are described and provided on the resulting expected regret.
Conditional sampling for spectrally discrete max-stable random fields
Max-stable random fields play a central role in modeling extreme value phenomena. We obtain an explicit formula for the conditional probability in general max-linear models, which include a large…
Exploration exploitation in Go: UCT for Monte-Carlo Go
A Monte-Carlo program, MoGo, is developed, which is the first computer Go program using UCT, among which efficient memory management, parametrization, ordering of non-visited nodes and parallelization are explained.
Modifications of UCT and sequence-like simulations for Monte-Carlo Go
A Monte-Carlo program, MoGo, which is the first computer Go program using UCT, is developed and the modification of UCT for Go application is explained and also the sequence-like random simulation with patterns which has improved significantly the performance of MoGo.
An invariance principle for stationary random fields under Hannan's condition
On the structure and representations of max-stable processes
We develop classification results for max-stable processes, based on their spectral representations. The structure of max-linear isometries and minimal spectral representations play important roles.…
Generalized Random Fields and Lévy's Continuity Theorem on the Space of Tempered Distributions
In this note, we recall main properties of generalized random fields and present a proof of the continuity theorem of Paul Levy for generalized random fields in the space of tempered distributions.…
Limiting distribution for the maximal standardized increment of a random walk
Ergodic properties of sum- and max-stable stationary random fields via null and positive group actions
We establish characterization results for the ergodicity of stationary symmetric $\alpha$-stable (S$\alpha$S) and $\alpha$-Frechet random fields. We show that the result of Samorodnitsky [Ann.…