{
  "abstract": "In this paper, we study sequential lossy compression under a causal conditional perception criterion comparing source and reconstruction distributions given the same reconstruction history. For first-order Markov sources, we formulate the finite-horizon nonanticipative rate-distortion-perception function (NRDPF) with stagewise constraints and establish one-shot lower and upper bounds on the minimum variable-length sum rate using a strengthened strong functional-representation lemma (SFRL) and common randomness. For time-varying scalar Gauss--Markov sources under pointwise mean-squared error (MSE) and conditional squared Wasserstein-$2$ fidelity, we prove Gaussian optimality, derive a log-variance characterization, and obtain a closed-form solution that recovers the classical Gaussian nonanticipative rate-distortion function (NRDF) when perception is unconstrained and the classical Gaussian RDPF when the source is stationary and memoryless.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08611",
  "author_total": 2,
  "authors": [
    {
      "name": "Photios A. Stavrou"
    },
    {
      "name": "Zixuan He"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/91dkmpqnhdnbq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08611",
  "fulltext_url": null,
  "id": "91dkmpqnhdnbq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08611",
  "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.IT"
    ],
    [
      "arxiv",
      "eess.SP"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "openalex",
      "1707|Advanced Data Compression Techniques"
    ]
  ],
  "openalex": "W7211989908",
  "pdf_url": "https://arxiv.org/pdf/2609.08611",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/91dkmpqnhdnbq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.08611",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08611"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.IT",
      "subfield": "general"
    }
  ],
  "title": "Sequential Lossy Compression With Causal Conditional Perception",
  "title_text": "Sequential Lossy Compression With Causal Conditional Perception",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/91dkmpqnhdnbq",
  "venue": "arXiv",
  "versions": []
}