2 citations · 2 across the 8 of their papers we have counts for
8 papers
Sharp hypocoercive convergence estimates for underdamped Langevin dynamics with specular reflection
Hengrong Du, Qi Feng, Lingjiong Zhu
We study the underdamped (kinetic) Langevin dynamics confined to a bounded domain by specular reflection of the velocity at the boundary. This process is the…
Optimal Stochastic Trace Estimation in Generative Modeling
Xinyang Liu, Hengrong Du, Wei Deng +1
Hutchinson estimators are widely employed in training divergence-based likelihoods for diffusion models to ensure optimal transport (OT) properties. However, this estimator often s…
Exploring Non-Convex Discrete Energy Landscapes: An Efficient Langevin-Like Sampler with Replica Exchange
Haoyang Zheng, Hengrong Du, Ruqi Zhang +1
Gradient-based Discrete Samplers (GDSs) are effective for sampling discrete energy landscapes. However, they often stagnate in complex, non-convex settings. To improve exploration,…
Non-Reversible Langevin Algorithms for Constrained Sampling
Hengrong Du, Qi Feng, Changwei Tu +2
We consider the constrained sampling problem where the goal is to sample from a target distribution on a constrained domain. We propose skew-reflected non-reversible Langevin dynam…
Constrained Exploration via Reflected Replica Exchange Stochastic Gradient Langevin Dynamics
Haoyang Zheng, Hengrong Du, Qi Feng +2
Replica exchange stochastic gradient Langevin dynamics (reSGLD) is an effective sampler for non-convex learning in large-scale datasets. However, the simulation may encounter stagn…
A New Hybrid Automaton Framework with Partial Differential Equation Dynamics
Tianshu Bao, Hengrong Du, Weiming Xiang +1
This paper presents the syntax and semantics of a novel type of hybrid automaton (HA) with partial differential equation (PDE) dynamic, partial differential hybrid automata (PDHA).…
Reflected Schrödinger Bridge for Constrained Generative Modeling
Wei Deng, Yu Chen, Nicole Tianjiao Yang +3
Diffusion models have become the go-to method for large-scale generative models in real-world applications. These applications often involve data distributions confined within boun…
Partial Regularity for the Three-dimensional Stochastic Ericksen--Leslie equations
Hengrong Du, Chuntian Wang
In this article, we investigate the global existence of martingale suitable weak solutions to stochastic Ericksen-Leslie equations with additive noise in a 3D torus. The notion of…