{"id":"https://openalex.org/W7151732275","doi":"https://doi.org/10.48550/arxiv.2604.06129","title":"PoM: A Linear-Time Replacement for Attention with the Polynomial Mixer","display_name":"PoM: A Linear-Time Replacement for Attention with the Polynomial Mixer","publication_year":2026,"publication_date":"2026-04-07","ids":{"openalex":"https://openalex.org/W7151732275","doi":"https://doi.org/10.48550/arxiv.2604.06129"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.06129","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.06129","pdf_url":null,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.06129","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002574498","display_name":"David Picard","orcid":"https://orcid.org/0000-0002-6296-4222"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Picard, David","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133228876","display_name":"Nicolas Dufour","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dufour, Nicolas","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133153081","display_name":"Lucas Degeorge","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Degeorge, Lucas","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133184134","display_name":"Arijit Ghosh","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ghosh, Arijit","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068526202","display_name":"Davide Allegro","orcid":"https://orcid.org/0009-0008-1180-9290"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Allegro, Davide","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133149530","display_name":"Tom Ravaud","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ravaud, Tom","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133171547","display_name":"Yohann Perron","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Perron, Yohann","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047737542","display_name":"Corentin Sautier","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sautier, Corentin","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124884440","display_name":"Zeynep Sonat Baltaci","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Baltaci, Zeynep Sonat","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133164089","display_name":"Fei Meng","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Meng, Fei","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093418455","display_name":"Syrine Kalleli","orcid":"https://orcid.org/0009-0003-5119-0596"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kalleli, Syrine","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5119622947","display_name":"Marta L\u00f3pez-Rauhut","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"L\u00f3pez-Rauhut, Marta","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5093511577","display_name":"Thibaut Loiseau","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Loiseau, Thibaut","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5094157161","display_name":"S\u00e9gol\u00e8ne Albouy","orcid":"https://orcid.org/0009-0008-0998-978X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Albouy, S\u00e9gol\u00e8ne","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133201326","display_name":"Raphael Baena","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Baena, Raphael","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011414147","display_name":"Elliot Vincent","orcid":"https://orcid.org/0009-0001-1713-2590"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vincent, Elliot","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5033114563","display_name":"Lo\u00efc Landrieu","orcid":"https://orcid.org/0000-0002-7738-8141"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Landrieu, Loic","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":17,"corresponding_author_ids":["https://openalex.org/A5002574498"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"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/T10601","display_name":"Handwritten Text Recognition Techniques","score":0.27559998631477356,"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"}},"topics":[{"id":"https://openalex.org/T10601","display_name":"Handwritten Text Recognition Techniques","score":0.27559998631477356,"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.11209999769926071,"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/T11714","display_name":"Multimodal Machine Learning Applications","score":0.09120000153779984,"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/security-token","display_name":"Security token","score":0.7419000267982483},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5418999791145325},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4796000123023987},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4410000145435333},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.42640000581741333},{"id":"https://openalex.org/keywords/transformer","display_name":"Transformer","score":0.396699994802475}],"concepts":[{"id":"https://openalex.org/C48145219","wikidata":"https://www.wikidata.org/wiki/Q1335365","display_name":"Security token","level":2,"score":0.7419000267982483},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6453999876976013},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5418999791145325},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4796000123023987},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4410000145435333},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.42640000581741333},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.396699994802475},{"id":"https://openalex.org/C66322947","wikidata":"https://www.wikidata.org/wiki/Q11658","display_name":"Transformer","level":3,"score":0.396699994802475},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3562000095844269},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.35030001401901245},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.3276999890804291},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.30000001192092896},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.298799991607666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2556000053882599},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2515000104904175}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.06129","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.06129","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.06129","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.06129","pdf_url":null,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"the":[3,48,86],"Polynomial":[4],"Mixer":[5],"(PoM),":[6],"a":[7,18,28,32],"novel":[8],"token":[9,39],"mixing":[10],"mechanism":[11],"with":[12,56,66,98],"linear":[13],"complexity":[14],"that":[15,45,53],"serves":[16],"as":[17],"drop-in":[19],"replacement":[20],"for":[21],"self-attention.":[22],"PoM":[23,46,57,67,84],"aggregates":[24],"input":[25],"tokens":[26],"into":[27],"compact":[29],"representation":[30],"through":[31],"learned":[33],"polynomial":[34],"function,":[35],"from":[36],"which":[37],"each":[38],"retrieves":[40],"contextual":[41,49],"information.":[42],"We":[43,62],"prove":[44],"satisfies":[47],"mapping":[50],"property,":[51],"ensuring":[52],"transformers":[54],"equipped":[55],"remain":[58],"universal":[59],"sequence-to-sequence":[60],"approximators.":[61],"replace":[63],"standard":[64],"self-attention":[65],"across":[68],"five":[69],"diverse":[70],"domains:":[71],"text":[72,75],"generation,":[73,78],"handwritten":[74],"recognition,":[76],"image":[77],"3D":[79],"modeling,":[80],"and":[81],"Earth":[82],"observation.":[83],"matches":[85],"performance":[87],"of":[88],"attention-based":[89],"models":[90],"while":[91],"drastically":[92],"reducing":[93],"computational":[94],"cost":[95],"when":[96],"working":[97],"long":[99],"sequences.":[100],"The":[101],"code":[102],"is":[103],"available":[104],"at":[105],"https://github.com/davidpicard/pom.":[106]},"counts_by_year":[],"updated_date":"2026-04-09T06:13:59.934233","created_date":"2026-04-09T00:00:00"}