
Satoshi Hayakawa
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Applied probability
- MT20: B8.1 Probability, Measure and Martingales (TA)
- HT20: B8.2 Continuous Martingales and Stochastic Calculus (TA)
- MT21: B4.1 Functional Analysis (TA)
- Clarendon Scholarship
- Toyota Riken Overseas Scholarship
Positively weighted kernel quadrature via subsampling
Satoshi Hayakawa, Harald Oberhauser, Terry Lyons, preprint (arXiv:2107.09597)
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
Monte Carlo construction of cubature on Wiener space
Satoshi Hayakawa, Ken'ichiro Tanaka, preprint (arXiv:2008.08219)
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)