{
  "abstract": "We introduce the Tempered Bouncy Particle Sampler, a state-dependently tempered generalisation of the Bouncy Particle Sampler. Adapting the hypocoercivity framework of Dolbeault, Mouhot and Schmeiser (2010), we establish explicit, non-asymptotic exponential convergence bounds for a broad class of heavy-tailed targets that need not be log-concave or radially symmetric, including distributions with polynomial tails. The convergence rate is linked to the spectral gap of a tempered Langevin diffusion with the same invariant distribution, making a weighted Poincaré inequality the key assumption. We give admissible tempering choices for polynomial and stretched-exponential tails and derive mixing-time bounds with polynomial dependence on the dimension.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29657",
  "author_total": 2,
  "authors": [
    {
      "name": "Aleksandar Mijatović"
    },
    {
      "name": "Vinayak Niraj"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fcewe84752xb7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29657",
  "fulltext_url": null,
  "id": "fcewe84752xb7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29657",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2613|Markov Chains and Monte Carlo Methods"
    ]
  ],
  "openalex": "W7204894503",
  "pdf_url": "https://arxiv.org/pdf/2608.29657",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fcewe84752xb7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2608.29657",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29657"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Hypocoercivity of Tempered Bouncy Particle Samplers for Heavy-Tailed Targets",
  "title_text": "Hypocoercivity of Tempered Bouncy Particle Samplers for Heavy-Tailed Targets",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/fcewe84752xb7",
  "venue": "arXiv",
  "versions": []
}