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20242026
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cs.LG2026

RealPDEBench: A Benchmark for Complex Physical Systems with Real-World Data

Peiyan Hu, Haodong Feng, Hongyuan Liu +13

Predicting the evolution of complex physical systems remains a central problem in science and engineering. Despite rapid progress in scientific Machine Learning (ML) models, a crit…

cs.LG2026

GenCP: Towards Generative Modeling Paradigm of Coupled Physics

Tianrun Gao, Haoren Zheng, Wenhao Deng +5

Real-world physical systems are inherently complex, often involving the coupling of multiple physics, making their simulation both highly valuable and challenging. Many mainstream…

cs.LG2025

From Uncertain to Safe: Conformal Adaptation of Diffusion Models for Safe PDE Control

Peiyan Hu, Xiaowei Qian, Wenhao Deng +8

The application of deep learning for partial differential equation (PDE)-constrained control is gaining increasing attention. However, existing methods rarely consider safety requi…

cs.LG2024

How to Re-enable PDE Loss for Physical Systems Modeling Under Partial Observation

Haodong Feng, Yue Wang, Dixia Fan

In science and engineering, machine learning techniques are increasingly successful in physical systems modeling (predicting future states of physical systems). Effectively integra…

cs.LG2024

Wavelet Diffusion Neural Operator

Peiyan Hu, Rui Wang, Xiang Zheng +7

Simulating and controlling physical systems described by partial differential equations (PDEs) are crucial tasks across science and engineering. Recently, diffusion generative mode…

cs.LG2024

Multi-modal Policies with Physics-informed Representations in Complex Fluid Environments

Haodong Feng, Peiyan Hu, Yue Wang +1

Control in fluid environments is an important research area with numerous applications across various domains, including underwater robotics, aerospace engineering, and biomedical…