Search Results for author: Madison Cooley

Found 2 papers, 1 papers with code

Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation

no code implementations4 Jun 2024 Madison Cooley, Shandian Zhe, Robert M. Kirby, Varun Shankar

We present polynomial-augmented neural networks (PANNs), a novel machine learning architecture that combines deep neural networks (DNNs) with a polynomial approximant.

regression

Solving High Frequency and Multi-Scale PDEs with Gaussian Processes

1 code implementation8 Nov 2023 Shikai Fang, Madison Cooley, Da Long, Shibo Li, Robert Kirby, Shandian Zhe

Machine learning based solvers have garnered much attention in physical simulation and scientific computing, with a prominent example, physics-informed neural networks (PINNs).

Computational Efficiency Gaussian Processes

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