Satoshi Hayakawa

MSc, BEng

Status

Postgraduate Student

Contact form

https://satoshi-hayakawa.github.io/

+44 1865 273516

Research groups

Stochastic Analysis

Address
Mathematical Institute
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)
MT21: B4.1 Functional Analysis (TA)

Prizes, awards, and scholarships

Clarendon Scholarship
Toyota Riken Overseas Scholarship

Major / recent publications

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)