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Generalization Bounds for Canonicalization: A Comparative Study with Group Averaging

ICLR 2025 · Learning theory and algorithms › Kernels and regression theory · approach: Information-theoretic generalization bounds

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AI-extracted summary. Written by AI from the paper's abstract only. Numbers and claims can be wrong or missing context, so check the paper before you cite or build on it.

Derives generalization bounds for canonicalization-based invariant/equivariant learning and compares them with group averaging.

Problem

Generalization capabilities of canonicalization, a method for producing invariant or equivariant function classes by projecting inputs onto a reduced subset before learning, remain underexplored compared with its expressive power and continuity.

Approach

Provides a theoretical generalization analysis of canonicalization and a comparative study against group averaging, based only on the abstract's framing (details not available).

Experimental setup

Baselines: group averaging

Builds on: canonicalization group averaging

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