RECON: Robust symmetry discovery via Explicit Canonical Orientation Normalization
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Abstract (arXiv)
Real world data often exhibits unknown, instance-specific symmetries that rarely exactly match a transformation group G fixed a priori. Class-pose decompositions aim to create disentangled representations by factoring inputs into invariant features and a pose g∈ G defined relative to a training-dependent, arbitrary canonical representation. We introduce RECON, a class-pose agnostic canonical orientation normalization that corrects arbitrary canonicals via a simple right translation, yielding natural, data-aligned canonicalizations. This enables (i) unsupervised discovery of instance-specific pose distributions, (ii) detection of out-of-distribution poses and (iii) a plug-and-play test-time canonicalization layer. This layer can be attached on top of any pre-trained model to infuse group invariance, improving its performance without retraining. We validate on images and molecular ensembles, demonstrating accurate symmetry discovery, and matching or outperforming other canonicalizations in downstream classification.
Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Builds on 54 of its 74 references that are in the map. First posted on arXiv 19 May 2025.
Builds on
54 of 74 references.
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38 more
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