https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/Head https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA http://www.nanopub.org/nschema#hasAssertion https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/assertion https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA http://www.nanopub.org/nschema#hasProvenance https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/provenance https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA http://www.nanopub.org/nschema#hasPublicationInfo https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/pubinfo https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA http://www.w3.org/1999/02/22-rdf-syntax-ns#type http://www.nanopub.org/nschema#Nanopublication https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/assertion https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 http://purl.org/dc/terms/subject http://www.wikidata.org/entity/Q1507383 https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 http://purl.org/dc/terms/subject http://www.wikidata.org/entity/Q2539 https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 http://purl.org/dc/terms/subject http://www.wikidata.org/entity/Q47041 https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 http://purl.org/dc/terms/subject http://www.wikidata.org/entity/Q5629401 https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 http://purl.org/dc/terms/subject http://www.wikidata.org/entity/Q56321065 https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 http://purl.org/spar/cito/isSupportedBy https://w3id.org/sciencelive/np/RA0TakYbwjs9vdc2AXyKxaCj54u5vr8zIrNhebEEskWRc https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 http://purl.org/spar/cito/isSupportedBy https://w3id.org/sciencelive/np/RAoW3q1q1Wyt5DXbFl2PI3woyhuYZuU8HYtJ3m0LyrP9M https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 http://purl.org/spar/cito/isSupportedBy https://w3id.org/sciencelive/np/RAvIzcWGL89mxdBXTTjgRRd0QJBBAdu7wUqkdHRCssSqs https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 http://purl.org/spar/cito/isSupportedBy https://w3id.org/sciencelive/np/RAydqzcPo3ZNMYU2Gk9wd4u4OgITCaXwL01IQtxyoBloA https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 http://schema.org/endDate 2026-05-07 https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 http://www.w3.org/1999/02/22-rdf-syntax-ns#type https://w3id.org/sciencelive/o/terms/Research-Synthesis https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 http://www.w3.org/2000/01/rdf-schema#label The HEALPix-NESTED substrate makes sphere-aware ML latitude-invariant, discipline-transferable, and biodiversity-attribution-ready https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 https://w3id.org/sciencelive/o/terms/hasConditionsDescription Scope: global ML detection / classification tasks where features can be expressed on a HEALPix-NESTED grid, including but not limited to sea-surface-temperature anomaly fields (NOAA OISST v2.1, Copernicus Marine SST, ERA5), tropospheric or stratospheric atmospheric fields (DLWP-HEALPix forecast outputs, ClimateNet), marine biodiversity occurrences (GBIF, OBIS) at coarsest-feature resolution, and synthetic Gaussian-random-field samples with compact features. Methods: sphere-harmonic transforms via healpy.map2alm / alm2map, sphere-harmonic-domain convolutions via aₗₘ → aₗₘ · fₗ · bₗ, equal-area cell aggregation via numpy.bincount on healpy.ang2pix(..., nest=True). Domains: cosmology, climate, Earth observation, marine biodiversity, atmospheric science. The latitude-invariance and cross-discipline-transfer claims hold for any compact-feature detection task at fixed angular scale on the HEALPix substrate; the biodiversity-attribution claim is documented for the 2011 Ningaloo Niño event in the Western Australian region but the substrate-and-method combination generalises to any documented MHW or atmospheric-event case with available occurrence data. https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 https://w3id.org/sciencelive/o/terms/hasLimitationsDescription (1) The within-discipline and cross-discipline tests use synthetic data with controlled feature physics; the substrate-dependence is demonstrated via a minimal (max, mean, std) matched-filter feature triple to isolate the substrate effect from the model class, not via a deep learned representation. The numerical magnitudes (1.000 vs 0.500, 1.000 vs 0.845) reflect the geometric mechanism cleanly but are upper bounds on what richer learned representations like DeepSphere graph CNNs or foscat scattering networks would deliver on real data. (2) The real-data biodiversity-attribution case (chain B) uses a 3-year-baseline (2008–2010) simplification of the canonical Hobday et al. 2016 30-year 1991–2020 climatology and a fixed +1.5 °C anomaly threshold rather than the per-day-of-year 90th-percentile threshold; the qualitative spatial footprint matches the documented Ningaloo Niño but the per-cell MHW-day count is approximate. (3) The biodiversity-overlap statistic is exposure-only (records on MHW cells), not a causal attribution of biodiversity change to MHW conditions; the linkage to Wernberg et al. 2016 kelp regime shift is via spatial-temporal coincidence with the documented event. (4) The cross-discipline transfer test uses synthetic discipline regimes constructed to share feature physics across different background spectra; true cross-discipline transfer from real cosmology data (e.g., Planck CMB on HEALPix) to real climate data (e.g., DLWP-HEALPix forecasts on HEALPix) would require integrating with foscat or DeepSphere as future work. (5) All HEALPix work in this synthesis uses NESTED ordering throughout per the project-wide convention; results for RING-ordered HEALPix at the same resolution are expected to be equivalent but were not separately tested. https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 https://w3id.org/sciencelive/o/terms/hasRecommendationDescription (1) When training ML detection or classification models on globally-distributed Earth-observation, climate, or biodiversity data, render features on a HEALPix-NESTED substrate (spherical for cosmology / synthetic experiments, WGS84-ellipsoidal via healpix-geo for geoscience) before applying convolutions; the substrate choice is what separates "works at the equator only" from "works at every latitude". (2) When integrating biodiversity occurrence data with Copernicus Marine SST, NOAA OISST, ERA5, or DestinE climate-model output for impact-attribution work, co-locate all four sources on a shared HEALPix-NESTED grid (NESTED ordering for hierarchical bit-shift refinement) at the resolution that matches the coarsest input, then perform overlap statistics there; do not perform per-source lat-lon aggregation followed by raster-level joins. (3) When evaluating sphere-aware versus flat ML pipelines, report accuracy at multiple test latitude bands and on at least one cross-discipline transfer regime; in-distribution-only metrics under-state the substrate effect. (4) Investments in sphere-aware models from one discipline (cosmology DeepSphere, foscat scattering networks, DLWP-HEALPix global weather forecasting) carry directly over to the other disciplines on the same HEALPix substrate; budget integration work as a feature-extractor port rather than a from-scratch retrain. https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 https://w3id.org/sciencelive/o/terms/hasSynthesisDescription Three independent tests on the HEALPix-NESTED substrate jointly establish that sphere-aware operators recover detection accuracy lat-lon flat operators lose, transfer across discipline pairs without retraining, and integrate with marine biodiversity occurrence data on a single shared substrate — without re-projection at any step. The within-discipline test (chain A, notebook 04) shows the lat-lon-flat matched filter collapsing from 1.000 to 0.500 chance at 70–80° latitude while the sphere-harmonic band-pass matched filter holds at 1.000 across all four test bands. The cross-discipline test (chain C, notebook 06) shows the same sphere-aware pipeline transferring at 1.000 from a cosmology-like training domain to a climate-like test domain without retraining, while the flat baseline drops to 0.845 on the same transfer. The real-data test (chain B, notebook 05) shows that when the climate-event field and the biodiversity occurrence field meet on the same HEALPix substrate, 94.0 percent of 765 marine GBIF records during the documented 2011 Ningaloo Niño event sat on cells that experienced marine-heatwave conditions in the same window Wernberg et al. 2016 documented the kelp regime shift in. The shared property — that sphere-harmonic convolution is exactly rotation-equivariant on the sphere, while lat-lon convolution is only translation-equivariant in pixel space — is what makes the substrate the right common DGGS for Copernicus EO, Destination Earth climate models, and biodiversity-impact attribution to interoperate. https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/provenance https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/assertion http://www.w3.org/ns/prov#wasAttributedTo https://orcid.org/0000-0002-1784-2920 https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/pubinfo https://orcid.org/0000-0002-1784-2920 http://xmlns.com/foaf/0.1/name Anne Fouilloux https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA http://purl.org/dc/terms/created 2026-05-08T20:21:07.483Z https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA http://purl.org/dc/terms/creator https://orcid.org/0000-0002-1784-2920 https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA http://purl.org/dc/terms/license https://creativecommons.org/licenses/by/4.0/ https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA http://purl.org/nanopub/x/introduces https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/spherical-ml-substrate-synthesis-2026 https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA http://purl.org/nanopub/x/wasCreatedAt https://platform.sciencelive4all.org https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA http://www.w3.org/2000/01/rdf-schema#label The HEALPix-NESTED substrate makes sphere-aware ML latitude-invariant, discipline-transferable, and biodiversity-attribution-ready https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA https://w3id.org/np/o/ntemplate/wasCreatedFromTemplate https://w3id.org/np/RApmrqOEr4f5bJC2vayrTnzhwnuEfAU_I4Pdg8K5JxeBw https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/sig http://purl.org/nanopub/x/hasAlgorithm RSA https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/sig http://purl.org/nanopub/x/hasPublicKey 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 https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/sig http://purl.org/nanopub/x/hasSignature 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 https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/sig http://purl.org/nanopub/x/hasSignatureTarget https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA https://w3id.org/sciencelive/np/RA6r8sefdZHemsSWVZVo7nXdvydNqCm-VfrQpnmmRBrfA/sig http://purl.org/nanopub/x/signedBy https://orcid.org/0000-0002-1784-2920