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20232026
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cs.LG2026

How Does the Lagrangian Guide Safe Reinforcement Learning through Diffusion Models?

Xiaoyuan Cheng, Wenxuan Yuan, Boyang Li +7

Diffusion policy sampling enables reinforcement learning (RL) to represent multimodal action distributions beyond suboptimal unimodal Gaussian policies. However, existing diffusion…

cs.LG2025

Fast-Forward Lattice Boltzmann: Learning Kinetic Behaviour with Physics-Informed Neural Operators

Xiao Xue, Marco F. P. ten Eikelder, Mingyang Gao +7

The lattice Boltzmann equation (LBE), rooted in kinetic theory, provides a powerful framework for capturing complex flow behaviour by describing the evolution of single-particle di…

cs.LG2025

Tensor-Var: Efficient Four-Dimensional Variational Data Assimilation

Yiming Yang, Xiaoyuan Cheng, Daniel Giles +5

Variational data assimilation estimates the dynamical system states by minimizing a cost function that fits the numerical models with the observational data. Although four-dimensio…

cs.LG2023

KEEC: Koopman Embedded Equivariant Control

Xiaoyuan Cheng, Yiming Yang, Xiaohang Tang +2

An efficient way to control systems with unknown nonlinear dynamics is to find an appropriate embedding or representation for simplified approximation (e.g. linearization), which f…

cs.LG2023

Safe Reinforcement Learning in Tensor Reproducing Kernel Hilbert Space

Xiaoyuan Cheng, Boli Chen, Liz Varga +1

This paper delves into the problem of safe reinforcement learning (RL) in a partially observable environment with the aim of achieving safe-reachability objectives. In traditional…