{
  "abstract": "Bartel, Schäfer and Ullrich investigated the BSS subsampling algorithm, which is based on the work by Batson, Spielman and Srivastava. While this algorithm works well, the bottleneck is its complexity of $\\mathcal{O}(σ^2nm^3)$ for a frame of $n$ vectors of dimension $m$ and oversampling $σ^2$. We continue their work by showing that the algorithm can be implemented in $\\mathcal{O}(σ^2nm^{2.5})$. Moreover, for some special cases, an even faster implementation is possible. In particular, BSS subsampling of Fourier-type frames on a full frequency cube can be implemented in essentially $\\mathcal{O}(σ^2m^2(n+m^{1.5}))$.}",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35474",
  "author_total": 1,
  "authors": [
    {
      "name": "Tizian Sommerfeld"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/88vwrqm01g7zh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35474",
  "fulltext_url": null,
  "id": "88vwrqm01g7zh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35474",
  "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.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2206|Sparse and Compressive Sensing Techniques"
    ]
  ],
  "openalex": "W7223889997",
  "pdf_url": "https://arxiv.org/pdf/2610.35474",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/88vwrqm01g7zh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.35474",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35474"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Acceleration of the BSS Algorithm",
  "title_text": "Acceleration of the BSS Algorithm",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/88vwrqm01g7zh",
  "venue": "arXiv",
  "versions": []
}