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20212023
most citedIs Physics-Informed Loss Always Suitable for Training Physics-Informed Neural Network?

25 citations · 63 across the 6 of their papers we have counts for

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6 papers

cs.LG2023★ 2 cited

Learning a Fourier Transform for Linear Relative Positional Encodings in Transformers

Krzysztof Marcin Choromanski, Shanda Li, Valerii Likhosherstov +7

We propose a new class of linear Transformers called FourierLearner-Transformers (FLTs), which incorporate a wide range of relative positional encoding mechanisms (RPEs). These inc…

cs.LG2022★ 25 cited

Is Physics-Informed Loss Always Suitable for Training Physics-Informed Neural Network?

Chuwei Wang, Shanda Li, Di He +1

The Physics-Informed Neural Network (PINN) approach is a new and promising way to solve partial differential equations using deep learning. The Physics-Informed Loss is the d…

cs.LG2022★ 12 cited

Your Transformer May Not be as Powerful as You Expect

Shengjie Luo, Shanda Li, Shuxin Zheng +3

Relative Positional Encoding (RPE), which encodes the relative distance between any pair of tokens, is one of the most successful modifications to the original Transformer. As far…

cs.LG2022★ 9 cited

Learning Physics-Informed Neural Networks without Stacked Back-propagation

Di He, Shanda Li, Wenlei Shi +5

Physics-Informed Neural Network (PINN) has become a commonly used machine learning approach to solve partial differential equations (PDE). But, facing high-dimensional secondorder…

cs.CV2021★ 8 cited

Can Vision Transformers Perform Convolution?

Shanda Li, Xiangning Chen, Di He +1

Several recent studies have demonstrated that attention-based networks, such as Vision Transformer (ViT), can outperform Convolutional Neural Networks (CNNs) on several computer vi…

cs.LG2021★ 7 cited

Stable, Fast and Accurate: Kernelized Attention with Relative Positional Encoding

Shengjie Luo, Shanda Li, Tianle Cai +6

The attention module, which is a crucial component in Transformer, cannot scale efficiently to long sequences due to its quadratic complexity. Many works focus on approximating the…