{"id":"https://openalex.org/W4415367434","doi":"https://doi.org/10.1109/isit63088.2025.11195533","title":"Property Inheritance for Subtensors in Tensor Train Decompositions","display_name":"Property Inheritance for Subtensors in Tensor Train Decompositions","publication_year":2025,"publication_date":"2025-06-22","ids":{"openalex":"https://openalex.org/W4415367434","doi":"https://doi.org/10.1109/isit63088.2025.11195533"},"language":"en","primary_location":{"id":"doi:10.1109/isit63088.2025.11195533","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195533","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2504.11396","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103070466","display_name":"HanQin Cai","orcid":"https://orcid.org/0000-0002-2937-1986"},"institutions":[{"id":"https://openalex.org/I106165777","display_name":"University of Central Florida","ror":"https://ror.org/036nfer12","country_code":"US","type":"education","lineage":["https://openalex.org/I106165777"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"HanQin Cai","raw_affiliation_strings":["University of Central Florida,Department of Statistics and Data Science, Department of Computer Science,Orlando,USA,32816"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Central Florida,Department of Statistics and Data Science, Department of Computer Science,Orlando,USA,32816","institution_ids":["https://openalex.org/I106165777"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035286718","display_name":"Longxiu Huang","orcid":"https://orcid.org/0000-0002-6610-9653"},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Longxiu Huang","raw_affiliation_strings":["Michigan State University,Department of Computational Mathematics, Science and Engineering, Department of Mathematics,East Lansing,USA,48824"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Michigan State University,Department of Computational Mathematics, Science and Engineering, Department of Mathematics,East Lansing,USA,48824","institution_ids":["https://openalex.org/I87216513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103070466"],"corresponding_institution_ids":["https://openalex.org/I106165777"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.28178694,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9710999727249146,"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":0.9710999727249146,"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/T11737","display_name":"Advanced Materials and Mechanics","score":0.9175000190734863,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9007999897003174,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.8134999871253967},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.7214999794960022},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.6036999821662903},{"id":"https://openalex.org/keywords/inheritance","display_name":"Inheritance (genetic algorithm)","score":0.5468000173568726},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.49549999833106995},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.47040000557899475},{"id":"https://openalex.org/keywords/tensor-contraction","display_name":"Tensor contraction","score":0.4415999948978424},{"id":"https://openalex.org/keywords/tensor-field","display_name":"Tensor field","score":0.4203999936580658}],"concepts":[{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.8134999871253967},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.7214999794960022},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.6036999821662903},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5777000188827515},{"id":"https://openalex.org/C2780902518","wikidata":"https://www.wikidata.org/wiki/Q6033780","display_name":"Inheritance (genetic algorithm)","level":3,"score":0.5468000173568726},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.49549999833106995},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.47040000557899475},{"id":"https://openalex.org/C124007464","wikidata":"https://www.wikidata.org/wiki/Q428091","display_name":"Tensor contraction","level":3,"score":0.4415999948978424},{"id":"https://openalex.org/C166077713","wikidata":"https://www.wikidata.org/wiki/Q1758924","display_name":"Tensor field","level":3,"score":0.4203999936580658},{"id":"https://openalex.org/C148125525","wikidata":"https://www.wikidata.org/wiki/Q904927","display_name":"Tensor density","level":4,"score":0.38909998536109924},{"id":"https://openalex.org/C20178491","wikidata":"https://www.wikidata.org/wiki/Q2204117","display_name":"Symmetric tensor","level":3,"score":0.3767000138759613},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.37119999527931213},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36970001459121704},{"id":"https://openalex.org/C64835786","wikidata":"https://www.wikidata.org/wiki/Q17004583","display_name":"Cartesian tensor","level":5,"score":0.36890000104904175},{"id":"https://openalex.org/C93776189","wikidata":"https://www.wikidata.org/wiki/Q1404488","display_name":"Tensor product of Hilbert spaces","level":4,"score":0.3544999957084656},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.3452000021934509},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.328900009393692},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32420000433921814},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3179999887943268},{"id":"https://openalex.org/C90952326","wikidata":"https://www.wikidata.org/wiki/Q3650511","display_name":"Tensor calculus","level":4,"score":0.31769999861717224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3154999911785126},{"id":"https://openalex.org/C70518039","wikidata":"https://www.wikidata.org/wiki/Q16000077","display_name":"Dimensionality reduction","level":2,"score":0.29330000281333923},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28450000286102295},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.2761000096797943},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2741999924182892}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit63088.2025.11195533","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit63088.2025.11195533","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2504.11396","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2504.11396","pdf_url":"https://arxiv.org/pdf/2504.11396","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"pmh:doi:10.48550/arxiv.2504.11396","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2504.11396","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2504.11396","pdf_url":"https://arxiv.org/pdf/2504.11396","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5446884816","display_name":null,"funder_award_id":"2304489","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415367434.pdf","grobid_xml":"https://content.openalex.org/works/W4415367434.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1995406764","https://openalex.org/W2000215628","https://openalex.org/W2008114373","https://openalex.org/W2013912476","https://openalex.org/W2024165284","https://openalex.org/W2043571470","https://openalex.org/W2072509929","https://openalex.org/W2099694394","https://openalex.org/W2113055885","https://openalex.org/W2119412403","https://openalex.org/W2126552798","https://openalex.org/W2469230926","https://openalex.org/W2482092413","https://openalex.org/W2971963065","https://openalex.org/W3173832704","https://openalex.org/W3205245241","https://openalex.org/W3216208934","https://openalex.org/W4226424852","https://openalex.org/W4372260555","https://openalex.org/W4385194931","https://openalex.org/W4391224793","https://openalex.org/W4400071817","https://openalex.org/W4400869442","https://openalex.org/W4402874250","https://openalex.org/W4403230586","https://openalex.org/W4408358653","https://openalex.org/W4409156542"],"related_works":[],"abstract_inverted_index":{"Tensor":[0],"dimensionality":[1,37],"reduction":[2],"is":[3,47,96],"one":[4],"of":[5,42,56,73,119],"the":[6,15,24,40,53,57,70,74,85,117,126],"fundamental":[7],"tools":[8,139],"for":[9,45,140],"modern":[10],"data":[11],"science.":[12],"To":[13],"address":[14],"high":[16],"computational":[17],"overhead,":[18],"fiber-wise":[19,130],"sampled":[20],"subtensors":[21,46,127],"that":[22,50,116],"preserve":[23],"original":[25,58],"tensor":[26,36,59,77,86,93,143],"rank":[27,95],"are":[28,107],"often":[29],"used":[30],"in":[31,105],"designing":[32],"efficient":[33,142],"and":[34,81],"scalable":[35],"reduction.":[38],"However,":[39],"theory":[41],"property":[43,71],"inheritance":[44,72],"still":[48],"underdevelopment,":[49],"is,":[51],"how":[52,92],"essential":[54],"properties":[55,118],"will":[60],"be":[61,122],"passed":[62],"to":[63,125],"its":[64],"subtensors.":[65],"This":[66],"paper":[67,134],"theoretically":[68],"studies":[69],"two":[75],"key":[76,102],"properties,":[78],"namely":[79],"incoherence":[80],"condition":[82],"number,":[83],"under":[84,110],"train":[87,94],"setting.":[88],"We":[89],"also":[90],"show":[91,115],"preserved":[97,124],"through":[98],"fiberwise":[99],"sampling.":[100,131],"The":[101,113],"parameters":[103],"introduced":[104],"theorems":[106],"numerically":[108],"evaluated":[109],"various":[111],"settings.":[112],"results":[114],"interest":[120],"can":[121],"well":[123],"formed":[128],"via":[129],"Overall,":[132],"this":[133],"provides":[135],"several":[136],"handy":[137],"analytic":[138],"developing":[141],"analysis":[144],"methods.":[145]},"counts_by_year":[],"updated_date":"2026-05-01T08:36:08.643496","created_date":"2025-10-10T00:00:00"}
