{"id":"https://openalex.org/W2124865402","doi":null,"title":"Computing with Tensors: Potential Applications of Physics-Motivated Mathematics to Computer Science","display_name":"Computing with Tensors: Potential Applications of Physics-Motivated Mathematics to Computer Science","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2124865402","mag":"2124865402"},"language":"en","primary_location":{"id":"pmh:oai:digitalcommons.utep.edu:cs_techrep-1126","doi":null,"is_oa":true,"landing_page_url":"https://digitalcommons.utep.edu/cs_techrep/127","pdf_url":"https://digitalcommons.utep.edu/cs_techrep/127","source":{"id":"https://openalex.org/S4377196403","display_name":"scholarworks - UTEP (The University of Texas at El Paso)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I164936912","host_organization_name":"The University of Texas at El Paso","host_organization_lineage":["https://openalex.org/I164936912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Departmental Technical Reports (CS)","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://digitalcommons.utep.edu/cs_techrep/127","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047541010","display_name":"Martine C. Ceberio","orcid":"https://orcid.org/0000-0001-5680-1155","observed_orcids":["https://orcid.org/0000-0001-5680-1155"]},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Martine Ceberio","raw_affiliation_strings":["University of Texas at, El Paso"],"raw_orcid":"https://orcid.org/0000-0001-5680-1155","affiliations":[{"raw_affiliation_string":"University of Texas at, El Paso","institution_ids":["https://openalex.org/I164936912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061275811","display_name":"\u0412\u043b\u0430\u0434\u0438\u043a \u041a\u0440\u0435\u0439\u043d\u043e\u0432\u0438\u0447","orcid":"https://orcid.org/0000-0002-1244-1650","observed_orcids":["https://orcid.org/0000-0002-1244-1650"]},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"\u0412\u043b\u0430\u0434\u0438\u043a \u041a\u0440\u0435\u0439\u043d\u043e\u0432\u0438\u0447","raw_affiliation_strings":["University of Texas at, El Paso"],"raw_orcid":"https://orcid.org/0000-0002-1244-1650","affiliations":[{"raw_affiliation_string":"University of Texas at, El Paso","institution_ids":["https://openalex.org/I164936912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I164936912"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9765999913215637,"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":0.9765999913215637,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.00139999995008111,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13062","display_name":"Cognitive Computing and Networks","score":0.0012000000569969416,"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/tensors","display_name":"tensors","score":0.9980000257492065},{"id":"https://openalex.org/keywords/tensor-algebra","display_name":"tensor algebra","score":0.40799999237060547}],"concepts":[{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.44406983256340027},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.418804407119751},{"id":"https://openalex.org/C2522767166","wikidata":"https://www.wikidata.org/wiki/Q2374463","display_name":"Data science","level":1,"score":0.3521478474140167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3407578766345978}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:digitalcommons.utep.edu:cs_techrep-1126","doi":null,"is_oa":true,"landing_page_url":"https://digitalcommons.utep.edu/cs_techrep/127","pdf_url":"https://digitalcommons.utep.edu/cs_techrep/127","source":{"id":"https://openalex.org/S4377196403","display_name":"scholarworks - UTEP (The University of Texas at El Paso)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I164936912","host_organization_name":"The University of Texas at El Paso","host_organization_lineage":["https://openalex.org/I164936912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Departmental Technical Reports (CS)","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.154.9410","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.154.9410","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.utep.edu/vladik/2008/tr08-45.pdf","raw_type":"text"},{"id":"pmh:oai:scholarworks.utep.edu:cs_techrep-1126","doi":null,"is_oa":false,"landing_page_url":"https://scholarworks.utep.edu/cs_techrep/127","pdf_url":null,"source":{"id":"https://openalex.org/S4377196403","display_name":"scholarworks - UTEP (The University of Texas at El Paso)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I164936912","host_organization_name":"The University of Texas at El Paso","host_organization_lineage":["https://openalex.org/I164936912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Departmental Technical Reports (CS)","raw_type":"text"},{"id":"mag:2124865402","doi":null,"is_oa":false,"landing_page_url":"http://www.cs.utep.edu/vladik/2008/tr08-45.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:digitalcommons.utep.edu:cs_techrep-1126","doi":null,"is_oa":true,"landing_page_url":"https://digitalcommons.utep.edu/cs_techrep/127","pdf_url":"https://digitalcommons.utep.edu/cs_techrep/127","source":{"id":"https://openalex.org/S4377196403","display_name":"scholarworks - UTEP (The University of Texas at El Paso)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I164936912","host_organization_name":"The University of Texas at El Paso","host_organization_lineage":["https://openalex.org/I164936912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Departmental Technical Reports (CS)","raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1056499526","display_name":null,"funder_award_id":"HRD-0734825","funder_id":"https://openalex.org/F4320332161","funder_display_name":"National Institutes of Health"},{"id":"https://openalex.org/G315119470","display_name":null,"funder_award_id":"1 T36 GM078000-01","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4794100026","display_name":"CREST-Cyber-ShARE Center of Excellence: A Center for the Sharing of Cyber-Resource to Advance Science and Education","funder_award_id":"0734825","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G490153578","display_name":"Enhancement of Quantitative Science in Biology Curricula","funder_award_id":"T36GM078000","funder_id":"https://openalex.org/F4320337354","funder_display_name":"National Institute of General Medical Sciences"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332161","display_name":"National Institutes of Health","ror":"https://ror.org/01cwqze88"},{"id":"https://openalex.org/F4320337354","display_name":"National Institute of General Medical Sciences","ror":"https://ror.org/04q48ey07"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2124865402.pdf","grobid_xml":"https://content.openalex.org/works/W2124865402.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W143062967","https://openalex.org/W571873500","https://openalex.org/W1563964555","https://openalex.org/W1578959913","https://openalex.org/W1585262768","https://openalex.org/W1590360882","https://openalex.org/W1631356911","https://openalex.org/W1992748711","https://openalex.org/W2009101896","https://openalex.org/W2036888640","https://openalex.org/W2048668496","https://openalex.org/W2084652510","https://openalex.org/W2169450644","https://openalex.org/W2465282361","https://openalex.org/W2577281216","https://openalex.org/W3023478445"],"related_works":["https://openalex.org/W7046531975","https://openalex.org/W3001096341","https://openalex.org/W4318677163","https://openalex.org/W4313138271","https://openalex.org/W4243508921","https://openalex.org/W6928944969","https://openalex.org/W3120633367","https://openalex.org/W2907165775","https://openalex.org/W7020732433","https://openalex.org/W3114025206"],"abstract_inverted_index":{"In":[0],"this":[1,41,73],"paper,":[2],"we":[3,26],"explain":[4],"what":[5],"are":[6],"tensors":[7,10,97],"and":[8,34],"how":[9],"can":[11],"help":[12],"in":[13,46,78],"computing.":[14],"Why":[15],"TensorsOne":[16],"of":[17,21,32,57,61,65],"the":[18,47,62,79,82,100],"main":[19],"problems":[20,101],"modern":[22,103],"computing":[23],"is":[24,89],"that:\u2022":[25],"have":[27],"to":[28,39,53,71,94,98],"process":[29,40,54,72],"large":[30,55,63],"amounts":[31,56],"data;\u2022":[33,58],"therefore,":[35],"long":[36,68],"time":[37,69],"required":[38,70],"data.A":[42],"similar":[43],"situation":[44],"occurred":[45],"19":[48,80],"century":[49],"physics:\u2022":[50],"physicists":[51],"had":[52],"and,":[59],"because":[60],"amount":[64],"data,":[66],"a":[67,91],"data.We":[74],"will":[75],"recall":[76],"that":[77],"century,":[81],"problem":[83],"was":[84],"solved":[85],"by":[86],"using":[87],"tensors.It":[88],"therefore":[90],"natural":[92],"idea":[93],"also":[95],"use":[96],"solve":[99],"with":[102],"computing.1":[104]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2016-06-24T00:00:00"}