Status:
Personal website:
+44 1865 273516
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Research interests:
Applied probability
Teaching:
- MT20: B8.1 Probability, Measure and Martingales (TA)
- HT20: B8.2 Continuous Martingales and Stochastic Calculus (TA)
Prizes, awards, and scholarships:
- Clarendon Scholarship
- Toyota Riken Overseas Scholarship
Major / recent publications:
Estimating the probability that a given vector is in the convex hull of a random sample
Satoshi Hayakawa, Terry Lyons, Harald Oberhauser, preprint (arXiv:2008.08219)
Monte Carlo Cubature Construction
Satoshi Hayakawa, Japan Journal of Industrial and Applied Mathematics, to appear, 2020
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)