{
  "abstract": "This paper studies the isolated calmness property of solution mappings arising from convex regularized linear inverse problems. We mainly establish a tangent-cone characterization of this property. For convex piecewise linear-quadratic regularizers, the isolated calmness coincides with the solution uniqueness, leading to simple verification procedures. In particular, for analysis sparsity regularization, our condition can be verified by linear programming.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.06238",
  "author_total": 4,
  "authors": [
    {
      "name": "Tran T. A. Nghia"
    },
    {
      "name": "Huy N. Pham"
    },
    {
      "name": "Nghia V. Vo"
    },
    {
      "name": "Khoa V. H. Vu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0gk3w8zp8w1rc.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.06238",
  "fulltext_url": null,
  "id": "0gk3w8zp8w1rc",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.06238",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "1703|Optimization and Variational Analysis"
    ]
  ],
  "openalex": "W7212036961",
  "pdf_url": "https://arxiv.org/pdf/2609.06238",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0gk3w8zp8w1rc.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.06238",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.06238"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Isolated calmness of regularized linear inverse problems",
  "title_text": "Isolated calmness of regularized linear inverse problems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/0gk3w8zp8w1rc",
  "venue": "arXiv",
  "versions": []
}