{
  "abstract": "Envelope regression is a crucial part of multivariate linear modeling, leveraging separation into material and immaterial parts to provide parsimonious data reduction. Rekabdarkolaee et al. (2020) construct spatial envelope, a novel multivariate Gaussian process, extended by May et al. (2022) to linear coregionalization envelope. Our proposal (TEASE) combines spatial envelope and full-scale basis graphical lasso (LeDuc et al., 2025), leveraging targeted graphical elastic net (Kovács et al., 2021) for immaterial precision matrices. Material part is a multivariate multiresolution Gaussian Markov random field (Kleiber et al., 2019; Caringi and Secchi, 2026). Enhanced envelope penalty (Kwon and Zou, 2025) regularizes regression coefficients. Demonstrations are on climate data.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08157",
  "author_total": 1,
  "authors": [
    {
      "name": "Mitchell L. Krock"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8de0b45ae9hvh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08157",
  "fulltext_url": null,
  "id": "8de0b45ae9hvh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08157",
  "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",
      "stat.ME"
    ],
    [
      "openalex",
      "2002|Spatial and Panel Data Analysis"
    ]
  ],
  "openalex": "W7221036751",
  "pdf_url": "https://arxiv.org/pdf/2610.08157",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8de0b45ae9hvh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:32Z",
      "native_id": "2610.08157",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08157"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:stat.ME",
      "subfield": "statistics"
    }
  ],
  "title": "TEASE: Targeted elastic spatial envelope",
  "title_text": "TEASE: Targeted elastic spatial envelope",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:32Z",
  "url": "https://research.draconitic.com/paper/8de0b45ae9hvh",
  "venue": "arXiv",
  "versions": []
}