activity
20222026
most citedPhysics-Informed Machine Learning: A Survey on Problems, Methods and Applications

94 citations · 183 across the 15 of their papers we have counts for

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Showing cs.LGShow all

12 papers · 1 filter

cs.LG2024★ 1 cited

ManiBox: Enhancing Embodied Spatial Generalization via Scalable Simulation Data Generations

Hengkai Tan, Xuezhou Xu, Chengyang Ying +7

Embodied agents require robust spatial intelligence to execute precise real-world manipulations. However, this remains a significant challenge, as current methods often struggle to…

cs.LG2024

Fourier Controller Networks for Real-Time Decision-Making in Embodied Learning

Hengkai Tan, Songming Liu, Kai Ma +4

Transformer has shown promise in reinforcement learning to model time-varying features for obtaining generalized low-level robot policies on diverse robotics datasets in embodied l…

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★ 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★ 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★ 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…