Interests
- Markov chain Monte Carlo, piecewise deterministic Markov process, diffusion models, …
- Sequential Monte Carlo, interacting particle systems, message passing, …
- Stochastic gradient descent, variational inference, Wasserstein gradient flow, …
My primary interest lies in the dynamical properties of these algorithms, especially their connections to natural phenomena.
I approach these questions through stochastic processes and functional analysis, fields in which I was trained at the University of Tokyo before my Ph.D.
Software
I maintain the Julia package PDMPFlux.jl, and also contribute to the R package YUIMA.
Selected Publications
Diffusive Scaling Limits of Forward Event-Chain Monte Carlo: Provably Efficient Exploration with Partial Refreshment
Many PDMP methods have been proposed. We develop a high-dimensional scaling framework to compare their asymptotic efficiency (effective sample size per event).
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