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Metric Learning for Clifford Group Equivariant Neural Networks

Riccardo Ali*, Paulina Kulytė*, Haitz Sáez de Ocáriz Borde, Pietro Liò

Published in ICML GRaM, 2024

We propose a metric learning scheme to enhance Clifford Group Equivariant Neural Networks, motivated using insights from category theory to guarantee its soundness.

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Parameter-free approximate equivariance for tasks with finite group symmetry

Riccardo Ali, Pietro Liò, Jamie Vicary

Published in arXiv, 2025

We use techniques from representation theory to uncover what structure neural networks tend to learn, finding a strong preference for the regular representation. Building on this insight, we propose a simple method to enforce approximate equivariance with strong experimental results.

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Supervisor for Discrete Mathematics

Computer Science tripos, University of Cambridge, 2025

Supervised 5 groups in Lent 2024.