3 citations · 4 across the 10 of their papers we have counts for
4 papers · 1 filter
Learning Density Evolution from Snapshot Data
Rentian Yao, Atsushi Nitanda, Xiaohui Chen +1
Motivated by learning dynamical structures from static snapshot data, this paper presents a distribution-on-scalar regression approach for estimating the density evolution of a sto…
Minimizing Convex Functionals over Space of Probability Measures via KL Divergence Gradient Flow
Rentian Yao, Linjun Huang, Yun Yang
Motivated by the computation of the non-parametric maximum likelihood estimator (NPMLE) and the Bayesian posterior in statistics, this paper explores the problem of convex optimiza…
Mean-field Variational Inference via Wasserstein Gradient Flow
Rentian Yao, Yun Yang
Variational inference, such as the mean-field (MF) approximation, requires certain conjugacy structures for efficient computation. These can impose unnecessary restrictions on the…
Mean-Field Nonparametric Estimation of Interacting Particle Systems
Rentian Yao, Xiaohui Chen, Yun Yang
This paper concerns the nonparametric estimation problem of the distribution-state dependent drift vector field in an interacting -particle system. Observing single-trajectory d…