{"id":"https://openalex.org/W4403995964","doi":"https://doi.org/10.1145/3814952","title":"A Chiseling Algorithm for Low-Rank Grassmann Decomposition of Skew-Symmetric Tensors","display_name":"A Chiseling Algorithm for Low-Rank Grassmann Decomposition of Skew-Symmetric Tensors","publication_year":2026,"publication_date":"2026-05-12","ids":{"openalex":"https://openalex.org/W4403995964","doi":"https://doi.org/10.1145/3814952"},"language":"en","primary_location":{"id":"doi:10.1145/3814952","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3814952","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1145/3814952","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047646325","display_name":"Nick Vannieuwenhoven","orcid":"https://orcid.org/0000-0001-5692-4163"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Nick Vannieuwenhoven","raw_affiliation_strings":["Department of Computer Science, KU Leuven, Leuven, Belgium"],"raw_orcid":"https://orcid.org/0000-0001-5692-4163","affiliations":[{"raw_affiliation_string":"Department of Computer Science, KU Leuven, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047646325"],"corresponding_institution_ids":["https://openalex.org/I99464096"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01267829,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"52","issue":"2","first_page":"1","last_page":"35"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11366","display_name":"Elasticity and Material Modeling","score":0.9126999974250793,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.8388471603393555},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6980457305908203},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5831006765365601},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5220161080360413},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4937315881252289},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37695077061653137},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3631165325641632},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3215245008468628},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2298254370689392},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.08802226185798645},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.048253387212753296}],"concepts":[{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.8388471603393555},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6980457305908203},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5831006765365601},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5220161080360413},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4937315881252289},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37695077061653137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3631165325641632},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3215245008468628},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2298254370689392},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.08802226185798645},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.048253387212753296},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3814952","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3814952","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2410.14486","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.14486","pdf_url":"https://arxiv.org/pdf/2410.14486","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2410.14486","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2410.14486","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1145/3814952","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3814952","pdf_url":null,"source":{"id":"https://openalex.org/S163326656","display_name":"ACM Transactions on Mathematical Software","issn_l":"0098-3500","issn":["0098-3500","1557-7295"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Mathematical Software","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5839578950","display_name":null,"funder_award_id":"G080822N and G011624N","funder_id":"https://openalex.org/F4320321730","funder_display_name":"Fonds Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320309627","display_name":"Colorado State University","ror":"https://ror.org/03k1gpj17"},{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4290802965","https://openalex.org/W97789383","https://openalex.org/W3087516072","https://openalex.org/W4289406402","https://openalex.org/W2727156679","https://openalex.org/W2067997904","https://openalex.org/W2364071303","https://openalex.org/W1483053255","https://openalex.org/W2896097814"],"abstract_inverted_index":{"A":[0],"numerical":[1],"algorithm":[2,20,91],"to":[3,74],"decompose":[4],"an":[5],"exact":[6],"low-rank":[7,100],"skew-symmetric":[8,15],"tensor":[9,62],"into":[10],"a":[11,80],"sum":[12],"of":[13,35,38,42,53,79],"elementary":[14],"tensors":[16],"is":[17,92],"introduced.":[18],"The":[19,67],"uncovers":[21],"this":[22,84],"Grassmann":[23,68],"decomposition":[24,69],"based":[25],"on":[26,47],"linear":[27,45],"relations":[28],"that":[29,89],"are":[30],"encoded":[31],"by":[32],"the":[33,36,39,43,48,51,77,90],"kernel":[34],"differential":[37],"natural":[40],"action":[41],"general":[44],"group":[46],"tensor,":[49],"following":[50],"ideas":[52],"Brooksbank":[54],"et":[55],"al.":[56],"[":[57],"Detecting":[58],"sparsity":[59],"patterns":[60],"in":[61,83],"data":[63],",":[64],"arXiv:2408.17425v3,":[65],"2026].":[66],"can":[70],"be":[71],"recovered,":[72],"up":[73],"scale,":[75],"from":[76],"diagonalization":[78],"generic":[81],"element":[82],"kernel.":[85],"Numerical":[86],"experiments":[87],"illustrate":[88],"computationally":[93],"efficient":[94],"and":[95],"quite":[96],"accurate":[97],"for":[98],"mathematically":[99],"tensors.":[101]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
