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20212025
most citedPhysics-Informed Machine Learning: A Survey on Problems, Methods and Applications

94 citations · 214 across the 21 of their papers we have counts for

collaborators

21 papers

cs.CV2025

AnyPos: Automated Task-Agnostic Actions for Bimanual Manipulation

Hengkai Tan, Yao Feng, Xinyi Mao +5

Learning generalizable manipulation policies hinges on data, yet robot manipulation data is scarce and often entangled with specific embodiments, making both cross-task and cross-p…

cs.LG2025

Accelerating PDE-Constrained Optimization by the Derivative of Neural Operators

Ze Cheng, Zhuoyu Li, Xiaoqiang Wang +4

PDE-Constrained Optimization (PDECO) problems can be accelerated significantly by employing gradient-based methods with surrogate models like neural operators compared to tradition…

cs.LG2025

Exploratory Diffusion Model for Unsupervised Reinforcement Learning

Chengyang Ying, Huayu Chen, Xinning Zhou +3

Unsupervised reinforcement learning (URL) aims to pre-train agents by exploring diverse states or skills in reward-free environments, facilitating efficient adaptation to downstrea…

cs.LG2024★ 1 cited

Reference Neural Operators: Learning the Smooth Dependence of Solutions of PDEs on Geometric Deformations

Ze Cheng, Zhongkai Hao, Xiaoqiang Wang +6

For partial differential equations on domains of arbitrary shapes, existing works of neural operators attempt to learn a mapping from geometries to solutions. It often requires a l…

cs.LG2024

PEAC: Unsupervised Pre-training for Cross-Embodiment Reinforcement Learning

Chengyang Ying, Zhongkai Hao, Xinning Zhou +4

Designing generalizable agents capable of adapting to diverse embodiments has achieved significant attention in Reinforcement Learning (RL), which is critical for deploying RL agen…

cs.LG2024★ 6 cited

DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training

Zhongkai Hao, Chang Su, Songming Liu +6

Pre-training has been investigated to improve the efficiency and performance of training neural operators in data-scarce settings. However, it is largely in its infancy due to the…

cs.LG2024

Your Diffusion Model is Secretly a Certifiably Robust Classifier

Huanran Chen, Yinpeng Dong, Shitong Shao +4

Generative learning, recognized for its effective modeling of data distributions, offers inherent advantages in handling out-of-distribution instances, especially for enhancing rob…

cs.LG2024★ 1 cited

Preconditioning for Physics-Informed Neural Networks

Songming Liu, Chang Su, Jiachen Yao +4

Physics-informed neural networks (PINNs) have shown promise in solving various partial differential equations (PDEs). However, training pathologies have negatively affected the con…

cs.LG2023★ 2 cited

Improved Operator Learning by Orthogonal Attention

Zipeng Xiao, Zhongkai Hao, Bokai Lin +2

Neural operators, as an efficient surrogate model for learning the solutions of PDEs, have received extensive attention in the field of scientific machine learning. Among them, att…

cs.LG2023★ 7 cited

MultiAdam: Parameter-wise Scale-invariant Optimizer for Multiscale Training of Physics-informed Neural Networks

Jiachen Yao, Chang Su, Zhongkai Hao +3

Physics-informed Neural Networks (PINNs) have recently achieved remarkable progress in solving Partial Differential Equations (PDEs) in various fields by minimizing a weighted sum…

cs.LG2023★ 21 cited

PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs

Zhongkai Hao, Jiachen Yao, Chang Su +8

While significant progress has been made on Physics-Informed Neural Networks (PINNs), a comprehensive comparison of these methods across a wide range of Partial Differential Equati…

cs.LG2023★ 1 cited

NUNO: A General Framework for Learning Parametric PDEs with Non-Uniform Data

Songming Liu, Zhongkai Hao, Chengyang Ying +3

The neural operator has emerged as a powerful tool in learning mappings between function spaces in PDEs. However, when faced with real-world physical data, which are often highly n…

cs.LG2023

Task Aware Dreamer for Task Generalization in Reinforcement Learning

Chengyang Ying, Xinning Zhou, Zhongkai Hao +4

A long-standing goal of reinforcement learning is to acquire agents that can learn on training tasks and generalize well on unseen tasks that may share a similar dynamic but with d…

cs.LG2023★ 36 cited

GNOT: A General Neural Operator Transformer for Operator Learning

Zhongkai Hao, Zhengyi Wang, Hang Su +6

Learning partial differential equations' (PDEs) solution operators is an essential problem in machine learning. However, there are several challenges for learning operators in prac…

cs.LG2022★ 94 cited

Physics-Informed Machine Learning: A Survey on Problems, Methods and Applications

Zhongkai Hao, Songming Liu, Yichi Zhang +4

Recent advances of data-driven machine learning have revolutionized fields like computer vision, reinforcement learning, and many scientific and engineering domains. In many real-w…

cs.LG2022★ 10 cited

A Unified Hard-Constraint Framework for Solving Geometrically Complex PDEs

Songming Liu, Zhongkai Hao, Chengyang Ying +3

We present a unified hard-constraint framework for solving geometrically complex PDEs with neural networks, where the most commonly used Dirichlet, Neumann, and Robin boundary cond…

physics.chem-ph2022★ 15 cited

Equivariant Energy-Guided SDE for Inverse Molecular Design

Fan Bao, Min Zhao, Zhongkai Hao +3

Inverse molecular design is critical in material science and drug discovery, where the generated molecules should satisfy certain desirable properties. In this paper, we propose eq…

cs.LG2022★ 2 cited

Bi-level Physics-Informed Neural Networks for PDE Constrained Optimization using Broyden's Hypergradients

Zhongkai Hao, Chengyang Ying, Hang Su +3

Deep learning based approaches like Physics-informed neural networks (PINNs) and DeepONets have shown promise on solving PDE constrained optimization (PDECO) problems. However, exi…

cs.LG2022

On the Reuse Bias in Off-Policy Reinforcement Learning

Chengyang Ying, Zhongkai Hao, Xinning Zhou +3

Importance sampling (IS) is a popular technique in off-policy evaluation, which re-weights the return of trajectories in the replay buffer to boost sample efficiency. However, trai…

cs.LG2022★ 4 cited

GSmooth: Certified Robustness against Semantic Transformations via Generalized Randomized Smoothing

Zhongkai Hao, Chengyang Ying, Yinpeng Dong +3

Certified defenses such as randomized smoothing have shown promise towards building reliable machine learning systems against -norm bounded attacks. However, existing metho…

cs.LG2021★ 14 cited

Cluster Attack: Query-based Adversarial Attacks on Graphs with Graph-Dependent Priors

Zhengyi Wang, Zhongkai Hao, Ziqiao Wang +2

While deep neural networks have achieved great success in graph analysis, recent work has shown that they are vulnerable to adversarial attacks. Compared with adversarial attacks o…