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20202025
most citedUnderstanding and mitigating gradient pathologies in physics-informed neural networks

198 citations · 571 across the 19 of their papers we have counts for

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18 papers · 1 filter

cs.LG2025

General Fourier Feature Physics-Informed Extreme Learning Machine (GFF-PIELM) for High-Frequency PDEs

Fei Ren, Sifan Wang, Pei-Zhi Zhuang +2

Conventional physics-informed extreme learning machine (PIELM) often faces challenges in solving partial differential equations (PDEs) involving high-frequency and variable-frequen…

cs.LG2025★ 12 cited

A Practitioner's Guide to Kolmogorov-Arnold Networks

Amir Noorizadegan, Sifan Wang, Leevan Ling +1

Kolmogorov-Arnold Networks (KANs), whose design is inspired-rather than dictated-by the Kolmogorov superposition theorem, have emerged as a structured alternative to MLPs. This rev…

cs.LG2025★ 1 cited

Simulating Three-dimensional Turbulence with Physics-informed Neural Networks

Sifan Wang, Shyam Sankaran, Xiantao Fan +2

Turbulent fluid flows are among the most computationally demanding problems in science, requiring enormous computational resources that become prohibitive at high flow speeds. Phys…

cs.LG2025

Gradient Alignment in Physics-informed Neural Networks: A Second-Order Optimization Perspective

Sifan Wang, Ananyae Kumar Bhartari, Bowen Li +1

Multi-task learning through composite loss functions is fundamental to modern deep learning, yet optimizing competing objectives remains challenging. We present new theoretical and…

cs.LG2024★ 1 cited

CViT: Continuous Vision Transformer for Operator Learning

Sifan Wang, Jacob H Seidman, Shyam Sankaran +3

Operator learning, which aims to approximate maps between infinite-dimensional function spaces, is an important area in scientific machine learning with applications across various…

cs.LG2024★ 25 cited

PirateNets: Physics-informed Deep Learning with Residual Adaptive Networks

Sifan Wang, Bowen Li, Yuhan Chen +1

While physics-informed neural networks (PINNs) have become a popular deep learning framework for tackling forward and inverse problems governed by partial differential equations (P…