Entries in English – Hirofumi Shiba

A Recent Development of Particle Methods

Inquiry towards a Continuous Time Limit and Scalability

Recently developments in continuous-time MCMC algorithms have emerged as a promising direction for scalable Bayesian computation. This poster explores their SMC counterparts. A new finding about a continuous-time limit of particle filter is discussed.

Measurability of the Minkowski Sum of Two Sets

For two Borel sets \(A,B\in\mathcal{B}(\mathbb{R}^n)\), we cannot expect \(A+B\) to be always Borel. We give sufficient conditions for the Minkowski sum \(A+B\) to be Borel, and also give a concrete counterexample for the case \(n\ge3\).

Influential Books Which Paved My Path into Mathematics

Book Recommendations

I will explore how a few books inspired me and paved my way into Mathematics.