Satoshi Hayakawa
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
- Clarendon Scholarship
- Toyota Riken Overseas Scholarship
TAs:
- MT20: B8.1 Probability, Measure and Martingales
- HT20: B8.2 Continuous Martingales and Stochastic Calculus
- MT21: B4.1 Functional Analysis
- HT21: C8.4 Probabilistic Combinatorics
Applied probability in general: more specifically on discretization of probability measures, convex hulls of random vectors, and kernel / Bayesian quadratures
Fast Bayesian inference with batch Bayesian quadrature via kernel recombination
Masaki Adachi*, Satoshi Hayakawa*, Martin Jørgensen, Harald Oberhauser, Michael A Osborne, NeurIPS 2022, accepted (*equal contribution, arXiv:2206.04734)
Positively weighted kernel quadrature via subsampling
Satoshi Hayakawa, Harald Oberhauser, Terry Lyons, NeurIPS 2022, accepted (arXiv:2107.09597)
Monte Carlo construction of cubature on Wiener space
Satoshi Hayakawa, Ken'ichiro Tanaka, Japan Journal of Industrial and Applied Mathematics, 39(2), 543-571, 2022
Estimating the probability that a given vector is in the convex hull of a random sample
Satoshi Hayakawa, Terry Lyons, Harald Oberhauser, preprint (arXiv:2101.04250)
Monte Carlo cubature construction
Satoshi Hayakawa, Japan Journal of Industrial and Applied Mathematics, 38(2), 561-577, 2021
Error bounds of potential theoretic numerical integration formulas in weighted Hardy spaces
Satoshi Hayakawa, Ken'ichiro Tanaka, JSIAM Letters, 12, 21-24, 2020
On the minimax optimality and superiority of deep neural network learning over sparse parameter spaces
Satoshi Hayakawa, Taiji Suzuki, Neural Networks, 123, 343-361, 2020
Convergence analysis of approximation formulas for analytic functions via duality for potential energy minimization
Satoshi Hayakawa, Ken'ichiro Tanaka, preprint (arXiv:1906.03133)