Search Results for author: Jacob Helwig

Found 4 papers, 4 papers with code

Equivariance via Minimal Frame Averaging for More Symmetries and Efficiency

1 code implementation11 Jun 2024 Yuchao Lin, Jacob Helwig, Shurui Gui, Shuiwang Ji

We consider achieving equivariance in machine learning systems via frame averaging.

SineNet: Learning Temporal Dynamics in Time-Dependent Partial Differential Equations

1 code implementation28 Mar 2024 Xuan Zhang, Jacob Helwig, Yuchao Lin, Yaochen Xie, Cong Fu, Stephan Wojtowytsch, Shuiwang Ji

While the U-Net architecture with skip connections is commonly used by prior studies to enable multi-scale processing, our analysis shows that the need for features to evolve across layers results in temporally misaligned features in skip connections, which limits the model's performance.

Group Equivariant Fourier Neural Operators for Partial Differential Equations

1 code implementation9 Jun 2023 Jacob Helwig, Xuan Zhang, Cong Fu, Jerry Kurtin, Stephan Wojtowytsch, Shuiwang Ji

We consider solving partial differential equations (PDEs) with Fourier neural operators (FNOs), which operate in the frequency domain.

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