{
  "abstract": "Extracting Gaussian information from data is well understood, but characterizing non-Gaussianity is challenging. We introduce HAWCS, a healpy-based Python package for efficiently computing wavelet scattering transform coefficients from full-sky maps. These coefficients provide compact summary statistics that are sensitive to higher-order structure and interactions across angular scales. We test the implementation on controlled Gaussian and non-Gaussian fields and demonstrate its computational efficiency. We then apply HAWCS to thermal Sunyaev-Zeldovich maps derived from Planck observations and four simulations, quantifying and comparing their higher-order statistical properties. We also use the method to expose the signatures of gravitational lensing in cosmic microwave background (CMB) temperature maps. These results demonstrate that HAWCS is a practical tool for validating component-separation pipelines and cosmological simulations, and a promising summary statistic for characterizing non-Gaussian structures beyond the power spectrum. These coefficients could also be used to constrain or generate simulated maps that reproduce the same statistical features of real data.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25548",
  "author_total": 4,
  "authors": [
    {
      "name": "Arefe Abghari"
    },
    {
      "name": "Lukas T Hergt"
    },
    {
      "name": "Douglas Scott"
    },
    {
      "name": "Raelyn M Sullivan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/81375xhyxsnk9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25548",
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  "id": "81375xhyxsnk9",
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  "landing_url": "https://hal.science/hal-05781263v1",
  "language": "en",
  "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": [
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      "astro-ph.CO"
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      "astro-ph.IM"
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  "openalex": "W7214124604",
  "pdf_url": "https://arxiv.org/pdf/2609.25548",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/81375xhyxsnk9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:49Z",
      "native_id": "hal-05781263",
      "source": "hal",
      "url": "https://hal.science/hal-05781263v1"
    },
    {
      "first_seen": "2026-10-30T12:23:39Z",
      "native_id": "2609.25548",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25548"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.CO",
      "subfield": "cosmology"
    },
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.IM",
      "subfield": "instrumentation-methods"
    },
    {
      "field": "physics",
      "origin": "hal:2.phys.phys.phys-ins-det",
      "subfield": "applied-instrumentation"
    }
  ],
  "title": "HierArchical Wavelet Coefficients on the Sphere (HAWCS): the Scattering Transform on Spherical Maps",
  "title_text": "HierArchical Wavelet Coefficients on the Sphere (HAWCS): the Scattering Transform on Spherical Maps",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:39Z",
  "url": "https://research.draconitic.com/paper/81375xhyxsnk9",
  "venue": "HAL",
  "versions": []
}