.zenodo.json

{
  "upload_type": "software",
  "title": "GROUPOID: Groupoid-based aggregation for federated learning on Riemannian manifolds",
  "version": "0.1.0.dev4",
  "description": "<p>Pre-alpha research prototype exploring groupoid-based aggregation for federated learning on Riemannian manifolds. Implements transport groupoid morphisms, first cohomology (H^1) for consistency detection, the cellular sheaf Laplacian for spectral analysis, parallel transport (Schild's and pole ladders), Riemannian optimizers, and Karcher mean aggregation via geomstats.</p><p><strong>Erratum / supersession notice:</strong> this version (v0.1.0.dev4) carries the mathematical corrections introduced in v0.1.0.dev1 over the earlier v0.1.0.dev0 snapshot (version DOI 10.5281/zenodo.20563975): the sheaf (connection) Laplacian is a verified positive-semidefinite operator with a transport-consistent kernel; persistence diagrams retain the homology-dimension label so H0 and H1 are no longer conflated; and H^1 cohomology raises on incomplete cocycles instead of forming partial holonomy. It also carries the v0.1.0.dev2 correction of a first-step magnitude inflation in the RiemannianAdam optimizer's bias initialization, and the v0.1.0.dev3 Morphism str()/format() display fix and documentation-accuracy corrections (v0.1.0.dev3 was cut in source control but never separately tagged or deposited, so this is the first deposit carrying its changes). New in v0.1.0.dev4: the Riemannian SGD and Adam optimizers now parallel-transport their accumulated moments between iterates instead of projecting them (projection could annihilate a geodesic-aligned moment); the parallel-transport and persistent-homology modules are wired into the aggregation pipeline; and a preregistered synthetic benchmark (see the repository's experiments/ directory) tests the central transport-aggregation hypothesis, finding it supported on synthetic frame-misaligned data and still unvalidated on real federated learning tasks. The v0.1.0.dev0 version DOI must not be cited for results. Cite the concept DOI (10.5281/zenodo.20563974), which always resolves to the latest corrected version, or this version or later.</p>",
  "creators": [
    {
      "name": "Maniches, Santiago",
      "affiliation": "TOPOLOGICA LLC",
      "orcid": "0009-0005-6480-1987"
    }
  ],
  "license": "Apache-2.0",
  "keywords": [
    "federated learning",
    "Riemannian geometry",
    "groupoid",
    "sheaf theory",
    "cohomology",
    "topological data analysis"
  ],
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      "identifier": "10.5281/zenodo.20563974",
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      "identifier": "10.5281/zenodo.20787126",
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      "identifier": "https://github.com/smaniches/GROUPOID",
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