{
  "abstract": "Many learning tasks require stability to small transformations while retaining sensitivity to larger ones. We introduce \\emph{transversal pooling neural networks}, which generalize spatial max pooling to affine group actions. We establish equivariance to a chosen subgroup and derive explicit stability bounds for individual pooled wavelet coefficients under affine perturbations of the input. Experimentally, we demonstrate the utility of our networks in low-data environments and for predicting tropical cyclone intensification.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.36237",
  "author_total": 4,
  "authors": [
    {
      "name": "Emily J. King"
    },
    {
      "name": "Dustin G. Mixon"
    },
    {
      "name": "Michael Perlmutter"
    },
    {
      "name": "Lander Ver Hoef"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fdteqa866n111.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.36237",
  "fulltext_url": null,
  "id": "fdteqa866n111",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.36237",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.LG"
    ],
    [
      "arxiv",
      "math.FA"
    ],
    [
      "openalex",
      "1702|Neural Networks and Applications"
    ]
  ],
  "openalex": "W7214943066",
  "pdf_url": "https://arxiv.org/pdf/2609.36237",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fdteqa866n111.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:35Z",
      "native_id": "2609.36237",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.36237"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.FA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Transversal Pooling Neural Networks",
  "title_text": "Transversal Pooling Neural Networks",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/fdteqa866n111",
  "venue": "arXiv",
  "versions": []
}