{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,28]],"date-time":"2025-11-28T21:18:28Z","timestamp":1764364708690,"version":"3.40.5"},"reference-count":15,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"DOI":"10.13039\/501100004063","name":"Knut och Alice Wallenbergs Stiftelse","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100004063","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Matrix Anal. Appl."],"published-print":{"date-parts":[[2025,6,30]]},"DOI":"10.1137\/24m166053x","type":"journal-article","created":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T15:37:12Z","timestamp":1747237032000},"page":"1378-1415","source":"Crossref","is-referenced-by-count":1,"title":["Geometry of Linear Neural Networks: Equivariance and Invariance Under Permutation Groups"],"prefix":"10.1137","volume":"46","author":[{"given":"Kathl\u00e9n","family":"Kohn","sequence":"first","affiliation":[{"name":"Department of Mathematics, KTH Royal Institute of Technology, 100 44 Stockholm, Sweden."}]},{"given":"Anna-Laura","family":"Sattelberger","sequence":"additional","affiliation":[{"name":"Department of Mathematics, KTH Royal Institute of Technology, 100 44 Stockholm, Sweden."}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-2619-9198","authenticated-orcid":true,"given":"Vahid","family":"Shahverdi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, KTH Royal Institute of Technology, 100 44 Stockholm, Sweden."}]}],"member":"351","published-online":{"date-parts":[[2025,5,14]]},"reference":[{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1063\/1.5024797"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1088\/2632-2153\/acc0d8"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-031-51462-3"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/MSP.2012.2211477"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1038\/s42256-020-0219-9"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1090\/mcom\/4047"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-014-9240-x"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02421-8"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2189-8"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1137\/21M1441183"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1137\/23M1565504"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1090\/noti2666"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1186\/s13662-023-03797-x"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1145\/3381831"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-8655(96)00103-1"}],"container-title":["SIAM Journal on Matrix Analysis and Applications"],"original-title":[],"language":"en","deposited":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T15:37:13Z","timestamp":1747237033000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/24M166053X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5,14]]},"references-count":15,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2025,6,30]]}},"alternative-id":["10.1137\/24M166053X"],"URL":"https:\/\/doi.org\/10.1137\/24m166053x","relation":{},"ISSN":["0895-4798","1095-7162"],"issn-type":[{"value":"0895-4798","type":"print"},{"value":"1095-7162","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,5,14]]}}}