Search Results for author: Ben Moseley

Found 5 papers, 1 papers with code

Scaling physics-informed neural networks to large domains by using domain decomposition

no code implementations NeurIPS Workshop DLDE 2021 Ben Moseley, Andrew Markham, Tarje Nissen-Meyer

Recently, physics-informed neural networks (PINNs) have offered a powerful new paradigm for solving forward and inverse problems relating to differential equations.

Finite Basis Physics-Informed Neural Networks (FBPINNs): a scalable domain decomposition approach for solving differential equations

1 code implementation16 Jul 2021 Ben Moseley, Andrew Markham, Tarje Nissen-Meyer

FBINNs are designed to address the spectral bias of neural networks by using separate input normalisation over each subdomain, and reduce the complexity of the underlying optimisation problem by using many smaller neural networks in a parallel divide-and-conquer approach.

Rk-means: Fast Clustering for Relational Data

no code implementations11 Oct 2019 Ryan Curtin, Ben Moseley, Hung Q. Ngo, XuanLong Nguyen, Dan Olteanu, Maximilian Schleich

When the data matrix needs to be obtained from a relational database via a feature extraction query, the computation cost can be prohibitive, as the data matrix may be (much) larger than the total input relation size.

Clustering

On Coresets for Regularized Loss Minimization

no code implementations26 May 2019 Ryan R. Curtin, Sungjin Im, Ben Moseley, Kirk Pruhs, Alireza Samadian

Our main result is that if the regularizer's effect does not become negligible as the norm of the hypothesis scales, and as the data scales, then a uniform sample of modest size is with high probability a coreset.

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