Rotation as Invertible Noise: Geometry, Stabilizers, and Multi-view Identification on the Sphere

v2 adds Proposition 6: equivariant networks close the invariant task (power spectrum recovery) but hit the gauge barrier on the equivariant task (rotation recovery), exactly as Propositions 3-5 predict. Source: https://github.com/mablue/sphere-noise

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-08
DOI
https://doi.org/10.5281/zenodo.24062931
Primary Topic
Topological and Geometric Data Analysis
Type
preprint
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preprint

Rotation as Invertible Noise: Geometry, Stabilizers, and Multi-view Identification on the Sphere

Masoud Azizi
Zenodo (CERN European Organization for Nuclear Research)
Topological and Geometric Data Analysis
preprint

Rotation as Invertible Noise: Geometry, Stabilizers, and Multi-view Identification on the Sphere

Masoud Azizi
preprint en

Abstract

v2 adds Proposition 6: equivariant networks close the invariant task (power spectrum recovery) but hit the gauge barrier on the equivariant task (rotation recovery), exactly as Propositions 3-5 predict. Source: https://github.com/mablue/sphere-noise

Zenodo (CERN European Organization for Nuclear Research)
University of Tabriz (IR)
Topological and Geometric Data Analysis
DOIOpen Access PDFOpenAlex
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Rotation as Invertible Noise: Geometry, Stabilizers, and Multi-view Identification on the Sphere — Masoud Azizi · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS