{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T13:20:01Z","timestamp":1775049601853,"version":"3.50.1"},"reference-count":29,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T00:00:00Z","timestamp":1769817600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2026,2,3]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:sec>\n                    <jats:title>Motivation<\/jats:title>\n                    <jats:p>We introduce a statistical approach for pattern recognition in multivariate spatial transcriptomics data.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Results<\/jats:title>\n                    <jats:p>Our algorithm constructs a projection of the data onto a low-dimensional feature space which is optimal in maximizing Moran\u2019s I, a measure of spatial dependency. This projection mitigates non-spatial variation and outperforms principal components analysis for pre-processing. Patterns of spatially variable genes are well represented in this feature space, and their projection can be shown to be a denoising operation. Our framework does not require any parameter tuning, and it furthermore gives rise to a calibrated, powerful test of spatial gene expression.<\/jats:p>\n                  <\/jats:sec>\n                  <jats:sec>\n                    <jats:title>Availability and implementation<\/jats:title>\n                    <jats:p>The algorithm is implemented in the open source software R and is available at https:\/\/github.com\/IMSBCompBio\/SpaCo.<\/jats:p>\n                  <\/jats:sec>","DOI":"10.1093\/bioinformatics\/btag052","type":"journal-article","created":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T12:44:24Z","timestamp":1769604264000},"source":"Crossref","is-referenced-by-count":1,"title":["A spectral dimension reduction technique that improves pattern detection in multivariate spatial 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50931,","place":["Germany"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kiarash","family":"Rastegar","sequence":"additional","affiliation":[{"name":"Institute of Medical Statistics and Computational Biology, Faculty of Medicine, University of Cologne , Cologne 50931,","place":["Germany"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6744-1463","authenticated-orcid":false,"given":"Till","family":"Baar","sequence":"additional","affiliation":[{"name":"Institute of Medical Statistics and Computational Biology, Faculty of Medicine, University of Cologne , Cologne 50931,","place":["Germany"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chrysa","family":"Nikopoulou","sequence":"additional","affiliation":[{"name":"Max Planck Research Group \u2018Chromatin and Ageing\u2019, Max Planck Institute for Biology of Ageing , Cologne 50931,","place":["Germany"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vangelis","family":"Kondylis","sequence":"additional","affiliation":[{"name":"Institute for Pathology, University Hospital Cologne , Cologne 50937,","place":["Germany"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vlada","family":"Milchevskaya","sequence":"additional","affiliation":[{"name":"Institute of Medical Statistics and Computational Biology, Faculty of Medicine, University of Cologne , Cologne 50931,","place":["Germany"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Matthias","family":"Schmid","sequence":"additional","affiliation":[{"name":"University of Bonn, University Hospital Bonn, Institute for Medical Biometry, Informatics, and Epidemiology , Bonn 53127,","place":["Germany"]}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter","family":"Tessarz","sequence":"additional","affiliation":[{"name":"Max Planck Research Group 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