{"id":"https://openalex.org/W7133304724","doi":"https://doi.org/10.48550/arxiv.2603.00683","title":"Polynomial Mixing for Efficient Self-supervised Speech Encoders","display_name":"Polynomial Mixing for Efficient Self-supervised Speech Encoders","publication_year":2026,"publication_date":"2026-02-28","ids":{"openalex":"https://openalex.org/W7133304724","doi":"https://doi.org/10.48550/arxiv.2603.00683"},"language":"en","primary_location":{"id":"pmh:oai:HAL:hal-05589762v1","is_oa":true,"landing_page_url":"https://hal.science/hal-05589762","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2026","raw_type":"Preprints, Working Papers, ..."},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-05589762","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082444106","display_name":"Eva Feillet","orcid":"https://orcid.org/0009-0007-4820-1599"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Feillet, Eva","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091012924","display_name":"Ryan Whetten","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Whetten, Ryan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002574498","display_name":"David Picard","orcid":"https://orcid.org/0000-0002-6296-4222"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Picard, David","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5127992957","display_name":"Alexandre Allauzen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Allauzen, Alexandre","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"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/T10201","display_name":"Speech Recognition and Synthesis","score":0.9625999927520752,"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"}},"topics":[{"id":"https://openalex.org/T10201","display_name":"Speech Recognition and Synthesis","score":0.9625999927520752,"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"}},{"id":"https://openalex.org/T10181","display_name":"Natural Language Processing Techniques","score":0.011099999770522118,"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"}},{"id":"https://openalex.org/T10028","display_name":"Topic Modeling","score":0.004999999888241291,"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/representation","display_name":"Representation (politics)","score":0.5662999749183655},{"id":"https://openalex.org/keywords/encoder","display_name":"Encoder","score":0.5504999756813049},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5455999970436096},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.49889999628067017},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.49140000343322754},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4887999892234802},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4860000014305115},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.46149998903274536}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5823000073432922},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5662999749183655},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.5504999756813049},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5455999970436096},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5429999828338623},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.49889999628067017},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.49140000343322754},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4887999892234802},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4860000014305115},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.46149998903274536},{"id":"https://openalex.org/C28490314","wikidata":"https://www.wikidata.org/wiki/Q189436","display_name":"Speech recognition","level":1,"score":0.4586000144481659},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4242999851703644},{"id":"https://openalex.org/C48145219","wikidata":"https://www.wikidata.org/wiki/Q1335365","display_name":"Security token","level":2,"score":0.40209999680519104},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.3140999972820282},{"id":"https://openalex.org/C40969351","wikidata":"https://www.wikidata.org/wiki/Q3516228","display_name":"Word error rate","level":2,"score":0.3127000033855438},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3109999895095825},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3091999888420105},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.30709999799728394},{"id":"https://openalex.org/C13895895","wikidata":"https://www.wikidata.org/wiki/Q3270773","display_name":"Speech coding","level":2,"score":0.2962999939918518},{"id":"https://openalex.org/C61328038","wikidata":"https://www.wikidata.org/wiki/Q3358061","display_name":"Speech processing","level":2,"score":0.2939000129699707},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.27869999408721924},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.2784000039100647},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.2703000009059906},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.266400009393692}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:HAL:hal-05589762v1","is_oa":true,"landing_page_url":"https://hal.science/hal-05589762","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2026","raw_type":"Preprints, Working Papers, ..."},{"id":"doi:10.48550/arxiv.2603.00683","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2603.00683","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":"pmh:oai:HAL:hal-05589762v1","is_oa":true,"landing_page_url":"https://hal.science/hal-05589762","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2026","raw_type":"Preprints, Working Papers, ..."},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"State-of-the-art":[0],"speech-to-text":[1],"models":[2],"typically":[3],"employ":[4],"Transformer-based":[5],"encoders":[6],"that":[7,93],"model":[8],"token":[9],"dependencies":[10],"via":[11],"self-attention":[12,19,104],"mechanisms.":[13],"However,":[14],"the":[15,39,56,64],"quadratic":[16],"complexity":[17,60],"of":[18,55],"in":[20,117],"both":[21],"memory":[22],"and":[23,81,105,115,119],"computation":[24],"imposes":[25],"significant":[26],"constraints":[27],"on":[28,79,85],"scalability.":[29],"In":[30],"this":[31],"work,":[32],"we":[33],"propose":[34],"a":[35,44,52,72,96],"novel":[36],"token-mixing":[37],"mechanism,":[38],"Polynomial":[40],"Mixer":[41],"(PoM),":[42],"as":[43],"drop-in":[45],"replacement":[46],"for":[47],"multi-head":[48],"self-attention.":[49],"PoM":[50,70,94],"computes":[51],"polynomial":[53],"representation":[54,75],"input":[57,65],"with":[58,61],"linear":[59],"respect":[62],"to":[63,102],"sequence":[66],"length.":[67],"We":[68],"integrate":[69],"into":[71],"self-supervised":[73],"speech":[74,87],"learning":[76],"framework":[77],"based":[78],"BEST-RQ":[80],"evaluate":[82],"its":[83],"performance":[84,114],"downstream":[86],"recognition":[88],"tasks.":[89],"Experimental":[90],"results":[91],"demonstrate":[92],"achieves":[95],"competitive":[97],"word":[98],"error":[99],"rate":[100],"compared":[101],"full":[103],"other":[106],"linear-complexity":[107],"alternatives,":[108],"offering":[109],"an":[110],"improved":[111],"trade-off":[112],"between":[113],"efficiency":[116],"time":[118],"memory.":[120]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-03-04T00:00:00"}
