{"id":"https://openalex.org/W123357227","doi":null,"title":"Towards a new multiway array decomposition algorithm: elementwise multiway array high dimensional model representation (EMAHDMR)","display_name":"Towards a new multiway array decomposition algorithm: elementwise multiway array high dimensional model representation (EMAHDMR)","publication_year":2011,"publication_date":"2011-09-26","ids":{"openalex":"https://openalex.org/W123357227","mag":"123357227"},"language":"en","primary_location":{"id":"mag:123357227","doi":null,"is_oa":false,"landing_page_url":"http://www.wseas.us/e-library/conferences/2011/Prague/AICT/AICT-11.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},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016225231","display_name":"Muzaffer Ayvaz","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Muzaffer Ayvaz","raw_affiliation_strings":["\u0130TU Informatics Institute, Computational Sci. and Eng. Program, \u0130stanbul, T\u00fcrk\u0130ye#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u0130TU Informatics Institute, Computational Sci. and Eng. Program, \u0130stanbul, T\u00fcrk\u0130ye#TAB#","institution_ids":["https://openalex.org/I48912391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019117378","display_name":"Metin Dem\u0456ralp","orcid":"https://orcid.org/0000-0003-2327-3493","observed_orcids":["https://orcid.org/0000-0003-2327-3493"]},"institutions":[{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Metin Dem\u0456ralp","raw_affiliation_strings":["\u0130TU Informatics Institute, Computational Sci. and Eng. Program, \u0130stanbul, T\u00fcrk\u0130ye#TAB#"],"raw_orcid":"https://orcid.org/0000-0003-2327-3493","affiliations":[{"raw_affiliation_string":"\u0130TU Informatics Institute, Computational Sci. and Eng. Program, \u0130stanbul, T\u00fcrk\u0130ye#TAB#","institution_ids":["https://openalex.org/I48912391"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I48912391"],"apc_list":null,"apc_paid":null,"fwci":0.2078,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.43654822,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"76","last_page":"81"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9945999979972839,"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":0.9945999979972839,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.000699999975040555,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/high-dimensional-model-representation","display_name":"high dimensional model representation","score":0.8889999985694885},{"id":"https://openalex.org/keywords/functions-of-several-variables","display_name":"functions of several variables","score":0.7260000109672546},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"decomposition method","score":0.5400000214576721}],"concepts":[{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6379085779190063},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6135913729667664},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.600450336933136},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4557187259197235},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44295060634613037},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43784627318382263},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.41815292835235596},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.34536871314048767},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22314289212226868},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09172704815864563},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:123357227","doi":null,"is_oa":false,"landing_page_url":"http://www.wseas.us/e-library/conferences/2011/Prague/AICT/AICT-11.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":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W79383899","https://openalex.org/W1511526648","https://openalex.org/W1639564182","https://openalex.org/W1995406764","https://openalex.org/W2002598080","https://openalex.org/W2003493253","https://openalex.org/W2013912476","https://openalex.org/W2024165284","https://openalex.org/W2025267249","https://openalex.org/W2030101839","https://openalex.org/W2039001924","https://openalex.org/W2057503509","https://openalex.org/W2060833676","https://openalex.org/W2075958283","https://openalex.org/W2081106919","https://openalex.org/W2088174986","https://openalex.org/W2091785615","https://openalex.org/W2093145699","https://openalex.org/W2147199561","https://openalex.org/W2341171179","https://openalex.org/W2995161752"],"related_works":["https://openalex.org/W2094560652","https://openalex.org/W2005307880","https://openalex.org/W2067816520","https://openalex.org/W75684173","https://openalex.org/W2044491282","https://openalex.org/W2132391589","https://openalex.org/W7095865014","https://openalex.org/W2074585044","https://openalex.org/W17588664","https://openalex.org/W2218424"],"abstract_inverted_index":{"In":[0],"this":[1],"study,":[2],"very":[3],"early":[4],"steps":[5],"of":[6,36,68,110,114],"a":[7,111],"new":[8,112],"algorithm":[9,57,86],"for":[10,26,51],"multiway":[11,53,60,71,115],"array":[12,61,72,116],"decomposition":[13,117],"via":[14],"High":[15,121],"Dimensional":[16,122],"Model":[17,123],"Representation":[18],"(HDMR)":[19],"is":[20,23,47],"proposed.":[21],"HDMR":[22,46,95,98],"originally":[24],"developed":[25],"the":[27,34,41,66,80,90,107],"multivariate":[28,63],"functions":[29,39,74],"and":[30,44,88,96,101,104],"represents":[31,58],"them":[32],"as":[33,65],"sum":[35,67],"lower":[37,76],"variate":[38],"inluding":[40],"constant":[42],"term,":[43],"thus":[45,105],"an":[48],"inherent":[49],"candidate":[50],"decomposing":[52],"arrays.":[54],"The":[55],"proposed":[56,92],"given":[59],"valued":[62,73],"function":[64],"same":[69],"type":[70],"with":[75],"multivariances":[77],"starting":[78],"from":[79],"constancy":[81],"in":[82],"ascending":[83],"multivariance.":[84],"This":[85],"generalizes":[87],"unifies":[89],"recently":[91],"algorithms":[93,118],"Vector":[94],"Matrix":[97],"by":[99],"Demiralp":[100],"his":[102],"group":[103],"enlights":[106],"big":[108],"picture":[109],"family":[113],"based":[119],"on":[120],"Representation.":[124]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-10-01T08:54:57.152042","created_date":"2016-06-24T00:00:00"}