Search Results for author: Ben Blum-Smith

Found 4 papers, 3 papers with code

GeometricImageNet: Extending convolutional neural networks to vector and tensor images

1 code implementation21 May 2023 Wilson Gregory, David W. Hogg, Ben Blum-Smith, Maria Teresa Arias, Kaze W. K. Wong, Soledad Villar

We use representation theory to quantify the dimension of the space of equivariant polynomial functions on 2-dimensional vector images.

Machine learning and invariant theory

no code implementations29 Sep 2022 Ben Blum-Smith, Soledad Villar

Inspired by constraints from physical law, equivariant machine learning restricts the learning to a hypothesis class where all the functions are equivariant with respect to some group action.

Dimensionless machine learning: Imposing exact units equivariance

1 code implementation2 Apr 2022 Soledad Villar, Weichi Yao, David W. Hogg, Ben Blum-Smith, Bianca Dumitrascu

Units equivariance (or units covariance) is the exact symmetry that follows from the requirement that relationships among measured quantities of physics relevance must obey self-consistent dimensional scalings.

BIG-bench Machine Learning Symbolic Regression

Scalars are universal: Equivariant machine learning, structured like classical physics

2 code implementations NeurIPS 2021 Soledad Villar, David W. Hogg, Kate Storey-Fisher, Weichi Yao, Ben Blum-Smith

There has been enormous progress in the last few years in designing neural networks that respect the fundamental symmetries and coordinate freedoms of physical law.

BIG-bench Machine Learning Translation

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