{"id":"https://openalex.org/W2746551520","doi":"https://doi.org/10.1145/3109859.3109892","title":"An Elementary View on Factorization Machines","display_name":"An Elementary View on Factorization Machines","publication_year":2017,"publication_date":"2017-08-24","ids":{"openalex":"https://openalex.org/W2746551520","doi":"https://doi.org/10.1145/3109859.3109892","mag":"2746551520"},"language":"en","primary_location":{"id":"doi:10.1145/3109859.3109892","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3109859.3109892","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Eleventh ACM Conference on Recommender Systems","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"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/A5007073307","display_name":"Sebastian Prillo","orcid":"https://orcid.org/0000-0002-2427-8627"},"institutions":[{"id":"https://openalex.org/I24354313","display_name":"University of Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Sebastian Prillo","raw_affiliation_strings":["Universidad de Buenos Aires, C.A.B.A., Argentina"],"affiliations":[{"raw_affiliation_string":"Universidad de Buenos Aires, C.A.B.A., Argentina","institution_ids":["https://openalex.org/I24354313"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007073307"],"corresponding_institution_ids":["https://openalex.org/I24354313"],"apc_list":null,"apc_paid":null,"fwci":1.4509,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.86917563,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"179","last_page":"183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10203","display_name":"Recommender Systems and Techniques","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10203","display_name":"Recommender Systems and Techniques","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10057","display_name":"Face and Expression Recognition","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10627","display_name":"Advanced Image and Video Retrieval Techniques","score":0.9254000186920166,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/hyperplane","display_name":"Hyperplane","score":0.809927225112915},{"id":"https://openalex.org/keywords/inductive-bias","display_name":"Inductive bias","score":0.7216668128967285},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.7160511016845703},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6198066473007202},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.5519119501113892},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5321468710899353},{"id":"https://openalex.org/keywords/intuition","display_name":"Intuition","score":0.5217838287353516},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.4661480188369751},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38879477977752686},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3828890919685364},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2840229868888855},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21564418077468872},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11750933527946472},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07464897632598877}],"concepts":[{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.809927225112915},{"id":"https://openalex.org/C197352929","wikidata":"https://www.wikidata.org/wiki/Q1074074","display_name":"Inductive bias","level":4,"score":0.7216668128967285},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.7160511016845703},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6198066473007202},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.5519119501113892},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5321468710899353},{"id":"https://openalex.org/C132010649","wikidata":"https://www.wikidata.org/wiki/Q189222","display_name":"Intuition","level":2,"score":0.5217838287353516},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.4661480188369751},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38879477977752686},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3828890919685364},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2840229868888855},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21564418077468872},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11750933527946472},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07464897632598877},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C28006648","wikidata":"https://www.wikidata.org/wiki/Q6934509","display_name":"Multi-task learning","level":3,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3109859.3109892","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3109859.3109892","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Eleventh ACM Conference on Recommender Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1951829412","https://openalex.org/W2094286023","https://openalex.org/W2219888463","https://openalex.org/W2295739661","https://openalex.org/W2470457291","https://openalex.org/W2505972586","https://openalex.org/W2509235963","https://openalex.org/W4212774754"],"related_works":["https://openalex.org/W2369655046","https://openalex.org/W2019467317","https://openalex.org/W1585519779","https://openalex.org/W1965515989","https://openalex.org/W2088737283","https://openalex.org/W1999587863","https://openalex.org/W1929902734","https://openalex.org/W3104474499","https://openalex.org/W4376167435","https://openalex.org/W2042783797"],"abstract_inverted_index":{"Factorization":[0],"Machines":[1],"(FMs)":[2],"are":[3],"a":[4,38,44,94,120],"model":[5],"class":[6],"capable":[7],"of":[8,40,63,86,90,105,122,136,148],"learning":[9],"pairwise":[10],"(and":[11],"in":[12,51,162],"general":[13],"higher":[14],"order)":[15],"feature":[16,54],"interactions":[17],"from":[18],"high":[19],"dimensional,":[20],"sparse":[21],"data.":[22],"In":[23],"this":[24,123,149],"paper":[25,150],"we":[26,34,82,131],"adopt":[27],"an":[28,163],"elementary":[29,57,129],"view":[30,35],"on":[31],"FMs.":[32,141],"Specifically,":[33],"FMs":[36,91,98,167],"as":[37,139],"sum":[39],"simple":[41,95],"surfaces":[42],"-":[43,50],"hyperplane":[45],"plus":[46],"several":[47],"squared":[48],"hyperplanes":[49],"the":[52,87,103,106,113,143,146,159,169],"original":[53],"space.":[55],"This":[56],"view,":[58,130],"although":[59],"equivalent":[60],"to":[61,74,101,152,158,165,168],"that":[62],"low":[64],"rank":[65],"matrix":[66],"factorization,":[67],"is":[68,151],"geometrically":[69],"more":[70],"intuitive":[71],"and":[72,115,118,156],"points":[73],"some":[75],"interesting":[76],"generalizations.":[77],"Led":[78],"by":[79,92,127],"our":[80,84,128,154],"intuition,":[81],"challenge":[83],"understanding":[85],"inductive":[88],"bias":[89],"showing":[93],"dataset":[96],"where":[97],"counterintuitively":[99],"fail":[100],"learn":[102],"weight":[104],"interaction":[107],"between":[108],"two":[109],"features.":[110],"We":[111],"discuss":[112],"reasons,":[114],"mathematically":[116],"formulate":[117],"prove":[119],"form":[121],"limitation.":[124],"Also":[125],"inspired":[126],"propose":[132],"modeling":[133],"intermediate":[134],"orders":[135],"interaction,":[137],"such":[138],"1.5-way":[140],"Beyond":[142],"specific":[144],"proposals,":[145],"goal":[147],"expose":[153],"thoughts":[155],"ideas":[157],"research":[160],"community":[161],"effort":[164],"take":[166],"next":[170],"level.":[171]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}