Interests
- Computational Statistics & Machine Learning
- Monte Carlo Methods
- Piecewise Deterministic Markov Processes
- Bayesian Modelling, with a particular interest in applications to the behavioural sciences
I am interested in the dynamical aspects of estimation algorithms, especially how weak or structured noise can improve their statistical performance.
Software
I maintain the Julia package PDMPFlux.jl, and also contribute to the R package YUIMA.
Selected Publications
Sticky Manifold Piecewise Deterministic Monte Carlo for Bayesian Model Averaging
We design a framework for combining PDMP dynamics in different dimensions to sample from mixed-dimensional targets, in a rejection-free and non-reversible manner, without requiring additional likelihood evaluations for transitions between dimensions. Examples include Bayesian PCA with unknown rank and survival extrapolation over different parametric families.
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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