1 citations · 2 across the 9 of their papers we have counts for
4 papers · 1 filter
GAIA: Geometry-Adaptive Operator Learning for Forward and Inverse Problems
Meenakshi Krishnan, Pranav Pulijala, Ke Chen +2
Operator learning for partial differential equations (PDEs) on arbitrary geometries builds fast neural surrogates for large-scale simulation. Although recent geometry-adaptive neur…
Efficient Kilometer-Scale Precipitation Downscaling with Conditional Wavelet Diffusion
Chugang Yi, Minghan Yu, Weikang Qian +2
Effective hydrological modeling and extreme weather analysis demand precipitation data at a kilometer-scale resolution, which is significantly finer than the 10 km scale offered by…
Towards Better Generalization: Weight Decay Induces Low-rank Bias for Neural Networks
Ke Chen, Chugang Yi, Haizhao Yang
We study the implicit bias towards low-rank weight matrices when training neural networks (NN) with Weight Decay (WD). We prove that when a ReLU NN is sufficiently trained with Sto…
FMint: Bridging Human Designed and Data Pretrained Models for Differential Equation Foundation Model
Zezheng Song, Jiaxin Yuan, Haizhao Yang
The fast simulation of dynamical systems is a key challenge in many scientific and engineering applications, such as weather forecasting, disease control, and drug discovery. With…