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most citedRethinking Influence Functions of Neural Networks in the Over-parameterized Regime

11 citations · 26 across the 16 of their papers we have counts for

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cs.LG2026

Physics Transformer: Tailoring Transformer for General PDE Prediction

Guoze Sun, Rui Zhang, Jiankai Tang +4

Transformer architectures have attracted increasing attention for solving partial differential equations (PDEs), owing to their flexibility in handling irregular discretizations an…

cs.LG2026

Geometry-Aware Neural Optimizer for Shape Optimization and Inversion

Guoze Sun, Tianya Miao, Haoyang Huang +4

Geometry is central to PDE-governed systems, motivating shape optimization and inversion. Classical pipelines conduct costly forward simulation with geometry processing, requiring…

cs.LG2026

UniFluids: Unified Neural Operator Learning with Conditional Flow-matching

Haosen Li, Qi Meng, Jiahao Li +4

Partial differential equation (PDE) simulation holds extensive significance in scientific research. Currently, the integration of deep neural networks to learn solution operators o…

cs.LG2026

Optimization and Generation in Aerodynamics Inverse Design

Huaguan Chen, Ning Lin, Luxi Chen +5

Aerodynamic inverse design can improve vehicle and aircraft efficiency, but practical design rarely seeks performance alone: vehicle refinement must reduce drag while preserving vi…

cs.LG2025

Benchmarking neural surrogates on realistic spatiotemporal multiphysics flows

Runze Mao, Rui Zhang, Xuan Bai +21

Predicting multiphysics dynamics is computationally expensive and challenging due to the severe coupling of multi-scale, heterogeneous physical processes. While neural surrogates p…

cs.LG2025

PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex Systems

Han Wan, Rui Zhang, Qi Wang +2

Accurately modeling and forecasting complex systems governed by partial differential equations (PDEs) is crucial in various scientific and engineering domains. However, traditional…

cs.LG2025

Spectral-inspired Operator Learning with Limited Data and Unknown Physics

Han Wan, Rui Zhang, Hao Sun

Learning PDE dynamics from limited data with unknown physics is challenging. Existing neural PDE solvers either require large datasets or rely on known physics (e.g., PDE residuals…

cs.LG2025

PIMRL: Physics-Informed Multi-Scale Recurrent Learning for Burst-Sampled Spatiotemporal Dynamics

Han Wan, Qi Wang, Yuan Mi +2

Deep learning has shown strong potential in modeling complex spatiotemporal dynamics. However, most existing methods depend on densely and uniformly sampled data, which is often un…

cs.LG2023★ 8 cited

Deciphering and integrating invariants for neural operator learning with various physical mechanisms

Rui Zhang, Qi Meng, Zhi-Ming Ma

Neural operators have been explored as surrogate models for simulating physical systems to overcome the limitations of traditional partial differential equation (PDE) solvers. Howe…

cs.LG2023★ 7 cited

Monte Carlo Neural PDE Solver for Learning PDEs via Probabilistic Representation

Rui Zhang, Qi Meng, Rongchan Zhu +5

In scenarios with limited available data, training the function-to-function neural PDE solver in an unsupervised manner is essential. However, the efficiency and accuracy of existi…

cs.LG2021★ 11 cited

Rethinking Influence Functions of Neural Networks in the Over-parameterized Regime

Rui Zhang, Shihua Zhang

Understanding the black-box prediction for neural networks is challenging. To achieve this, early studies have designed influence function (IF) to measure the effect of removing a…