Search Results for author: Andy Huang

Found 4 papers, 0 papers with code

Polynomial-Spline Neural Networks with Exact Integrals

no code implementations26 Oct 2021 Jonas A. Actor, Andy Huang, Nathaniel Trask

Using neural networks to solve variational problems, and other scientific machine learning tasks, has been limited by a lack of consistency and an inability to exactly integrate expressions involving neural network architectures.

regression Unity

Probabilistic partition of unity networks: clustering based deep approximation

no code implementations7 Jul 2021 Nat Trask, Mamikon Gulian, Andy Huang, Kookjin Lee

We enrich POU-Nets with a Gaussian noise model to obtain a probabilistic generalization amenable to gradient-based minimization of a maximum likelihood loss.

Clustering Probabilistic Deep Learning +2

Enforcing exact physics in scientific machine learning: a data-driven exterior calculus on graphs

no code implementations22 Dec 2020 Nathaniel Trask, Andy Huang, Xiaozhe Hu

To enforce physics strongly, we turn to the exterior calculus framework underpinning combinatorial Hodge theory and physics-compatible discretization of partial differential equations (PDEs).

Numerical Analysis Numerical Analysis Mathematical Physics Mathematical Physics

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