{
  "abstract": "Let $${\\mathcal {V}}$$ V be a finite-dimensional real vector space with a finite group G acting orthogonally on it. We address the general problem of constructing Euclidean-stable embeddings of the orbit space $${\\mathcal {V}}/G$$ V / G . Our approach builds on embeddings derived from subsets of sorted coorbits. The main result establishes that whenever such embeddings are injective, they are automatically bi-Lipschitz. Furthermore, we show that stable embeddings can be achieved in reduced dimensions, and that any continuous or Lipschitz G -invariant map can be factored through these embeddings.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, University of Maryland, College Park, MD, USA",
    "Institute of Mathematical Sciences, Claremont Graduate University, Claremont, CA, USA"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Radu Victor Balan",
      "orcid": "0000-0002-6217-3236"
    },
    {
      "affs": [
        1
      ],
      "name": "Efstratios Tsoukanis",
      "orcid": "0000-0002-9449-6814"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4e4pkkb5em8nq.bib",
  "cited_by": 15,
  "doi": "10.1007/s10444-026-10363-y",
  "fulltext_url": null,
  "id": "4e4pkkb5em8nq",
  "issns": [
    "1019-7168",
    "1572-9044"
  ],
  "landing_url": "https://doi.org/10.1007/s10444-026-10363-y",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2604|Mathematical Analysis and Transform Methods"
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  "openalex": "W4386148091",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/s10444-026-10363-y.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": "Springer Science+Business Media",
  "ris": "https://research.draconitic.com/paper/4e4pkkb5em8nq.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T13:20:41Z",
      "native_id": "W4386148091",
      "source": "openalex",
      "url": "https://doi.org/10.1007/s10444-026-10363-y"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2604|Mathematical Analysis and Transform Methods",
      "subfield": "general"
    }
  ],
  "title": "G-invariant representations using coorbits: bi-Lipschitz properties",
  "title_text": "G-invariant representations using coorbits: bi-Lipschitz properties",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T13:21:00Z",
  "url": "https://research.draconitic.com/paper/4e4pkkb5em8nq",
  "venue": "Advances in Computational Mathematics",
  "versions": []
}