https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/Head https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0 http://www.nanopub.org/nschema#hasAssertion https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/assertion https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0 http://www.nanopub.org/nschema#hasProvenance https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/provenance https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0 http://www.nanopub.org/nschema#hasPublicationInfo https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/pubinfo https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0 http://www.w3.org/1999/02/22-rdf-syntax-ns#type http://www.nanopub.org/nschema#Nanopublication https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/assertion https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/delouis-2022-lss-replication-outcome http://schema.org/endDate 2026-04-22 https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/delouis-2022-lss-replication-outcome http://www.w3.org/1999/02/22-rdf-syntax-ns#type https://w3id.org/sciencelive/o/terms/FORRT-Replication-Outcome https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/delouis-2022-lss-replication-outcome http://www.w3.org/2000/01/rdf-schema#label Scattering synthesis on cosmological LSS map confirms generalisation of Delouis 2022 https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/delouis-2022-lss-replication-outcome https://w3id.org/sciencelive/o/terms/hasConclusionDescription The replication supports the generalisation claim of Delouis et al. 2022 — that the scattering-transform framework on the HEALPix sphere applies beyond Planck dust polarisation to other astrophysical processes. Using the authors' own FOSCAT software, scattering synthesis from random noise produces a new cosmological large-scale-structure map whose multi-scale statistics match those of the target input. The framework generalises, at least to one additional astrophysical case. https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/delouis-2022-lss-replication-outcome https://w3id.org/sciencelive/o/terms/hasConfidenceLevel https://w3id.org/sciencelive/o/terms/HighConfidence https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/delouis-2022-lss-replication-outcome https://w3id.org/sciencelive/o/terms/hasEvidenceDescription Scattering-transform synthesis applied to a cosmological LSS map (LSS_map_nside128.npy from FOSCAT_DEMO, downgraded to nside=32) starting from random noise, 300 L-BFGS iterations, NORIENT=4, KERNELSZ=3, on CPU (143 seconds, Apple M1 Pro): - Power spectrum ratio (synthesised / target, mean across multipoles): 0.987 — close to the ideal 1.0 - Scattering coefficient improvement: 99.55% — synthesis converges to near-target scattering statistics - Pixel-level correlation (synthesised vs target): −0.0038 — close to zero, as expected when the synthesis produces a new realisation rather than copying - Distributional match: target mean ≈ 0, std = 0.739; synthesised mean ≈ 0, std = 0.746 — distributions match to within rounding Full results JSON and figure archived at Zenodo 10.5281/zenodo.19685025. Github repository: https://github.com/annefou/fiesta-scattering-astro https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/delouis-2022-lss-replication-outcome https://w3id.org/sciencelive/o/terms/hasLimitationsDescription Three caveats limit the strength of the conclusion: 1. Single realisation. The synthesis was run once with a fixed random seed; no variance estimate across multiple realisations is available. 2. Lower resolution than the paper. This study runs at nside=32 (12,288 pixels) for CPU compatibility; the original paper uses nside=256. 3. Demonstration-grade input data. The cosmological LSS map is a single demo artefact distributed in the FOSCAT_DEMO repository, not a peer-reviewed scientific dataset, and it is not the data the original paper is about (Planck 353 GHz dust polarisation). A future study could test the framework on multiple peer-reviewed astrophysical datasets at the paper's native resolution to strengthen the generalisation evidence. https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/delouis-2022-lss-replication-outcome https://w3id.org/sciencelive/o/terms/hasOutcomeRepository https://doi.org/10.5281/zenodo.19707889 https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/delouis-2022-lss-replication-outcome https://w3id.org/sciencelive/o/terms/hasValidationStatus https://w3id.org/sciencelive/o/terms/Validated https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/delouis-2022-lss-replication-outcome https://w3id.org/sciencelive/o/terms/isOutcomeOf https://w3id.org/sciencelive/np/RA0uFwTDq3Ip2_M_ZeHxmfavOu3ZCx9ZEeYSbXE0quHQk/delouis-2022-lss-replication-study https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/provenance https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/assertion http://www.w3.org/ns/prov#wasAttributedTo https://orcid.org/0000-0002-1784-2920 https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/pubinfo https://orcid.org/0000-0002-1784-2920 http://xmlns.com/foaf/0.1/name Anne Fouilloux https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0 http://purl.org/dc/terms/created 2026-04-26T14:59:04.604Z https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0 http://purl.org/dc/terms/creator https://orcid.org/0000-0002-1784-2920 https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0 http://purl.org/dc/terms/license https://creativecommons.org/licenses/by/4.0/ https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0 http://purl.org/nanopub/x/introduces https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/delouis-2022-lss-replication-outcome https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0 http://purl.org/nanopub/x/wasCreatedAt https://platform.sciencelive4all.org https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0 http://www.w3.org/2000/01/rdf-schema#label NP created using Declaring a replication study outcome according to FORRT https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0 https://w3id.org/np/o/ntemplate/wasCreatedFromTemplate https://w3id.org/np/RA2zljn0Nw9SadppOyxZoh-_Rxosslrq-vYG-p9SttnJE https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/sig http://purl.org/nanopub/x/hasAlgorithm RSA https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/sig http://purl.org/nanopub/x/hasPublicKey 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 https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/sig http://purl.org/nanopub/x/hasSignature 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 https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/sig http://purl.org/nanopub/x/hasSignatureTarget https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0 https://w3id.org/sciencelive/np/RAmEYMywIv9uDQPHuvPcPLEONpl7Et4M9hikmvDrRdVG0/sig http://purl.org/nanopub/x/signedBy https://orcid.org/0000-0002-1784-2920