{"id":"https://openalex.org/W7127977257","doi":"https://doi.org/10.48550/arxiv.2602.04915","title":"SLAY: Geometry-Aware Spherical Linearized Attention with Yat-Kernel","display_name":"SLAY: Geometry-Aware Spherical Linearized Attention with Yat-Kernel","publication_year":2026,"publication_date":"2026-02-04","ids":{"openalex":"https://openalex.org/W7127977257","doi":"https://doi.org/10.48550/arxiv.2602.04915"},"language":null,"primary_location":{"id":"pmh:doi:10.48550/arxiv.2602.04915","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","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":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5125216954","display_name":"Jose Miguel Luna","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luna, Jose Miguel","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125146797","display_name":"Taha Bouhsine","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bouhsine, Taha","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5031842812","display_name":"Krzysztof Choroma\u0144ski","orcid":"https://orcid.org/0000-0003-3626-414X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Choromanski, Krzysztof","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.28929999470710754,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.28929999470710754,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.210099995136261,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"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":0.0835999995470047,"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/unit-sphere","display_name":"Unit sphere","score":0.5361999869346619},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.48500001430511475},{"id":"https://openalex.org/keywords/softmax-function","display_name":"Softmax function","score":0.47369998693466187},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4244000017642975},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.40290001034736633},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.3386000096797943},{"id":"https://openalex.org/keywords/transformer","display_name":"Transformer","score":0.31200000643730164}],"concepts":[{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.5361999869346619},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5123999714851379},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.48500001430511475},{"id":"https://openalex.org/C188441871","wikidata":"https://www.wikidata.org/wiki/Q7554146","display_name":"Softmax function","level":3,"score":0.47369998693466187},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4244000017642975},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.40290001034736633},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3779999911785126},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36899998784065247},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35350000858306885},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.3386000096797943},{"id":"https://openalex.org/C66322947","wikidata":"https://www.wikidata.org/wiki/Q11658","display_name":"Transformer","level":3,"score":0.31200000643730164},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.29899999499320984},{"id":"https://openalex.org/C49874194","wikidata":"https://www.wikidata.org/wiki/Q5282045","display_name":"Discrete dipole approximation","level":3,"score":0.2973000109195709},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.2962999939918518},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.2754000127315521},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2632000148296356},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.25850000977516174},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.25699999928474426},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.251800000667572}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:doi:10.48550/arxiv.2602.04915","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2602.04915","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.04915","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:doi:10.48550/arxiv.2602.04915","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"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":{"We":[0,94],"propose":[1],"a":[2,11,76,85],"new":[3],"class":[4],"of":[5,17,79,147,170],"linear-time":[6,91,136,154],"attention":[7,61,111,124,137,158,171],"mechanisms":[8,138],"based":[9],"on":[10,64,100],"relaxed":[12],"and":[13,35,53,83,98,103,129,132,142],"computationally":[14],"efficient":[15],"formulation":[16],"the":[18,26,56,72,101,106,145,152,166],"recently":[19],"introduced":[20],"E-Product,":[21],"often":[22],"referred":[23],"to":[24,55,156,160],"as":[25,75,140],"Yat-kernel":[27,74],"(Bouhsine,":[28],"2025).":[29],"The":[30],"resulting":[31],"interactions":[32,39],"are":[33],"geometry-aware":[34],"inspired":[36],"by":[37],"inverse-square":[38],"in":[40],"physics.":[41],"Our":[42],"method,":[43],"Spherical":[44],"Linearized":[45],"Attention":[46],"with":[47],"Yat":[48],"Kernels":[49],"(SLAY),":[50],"constrains":[51],"queries":[52],"keys":[54],"unit":[57],"sphere":[58,102],"so":[59],"that":[60,105,117],"depends":[62],"only":[63],"angular":[65],"alignment.":[66],"Using":[67],"Bernstein's":[68],"theorem,":[69],"we":[70],"express":[71],"spherical":[73],"nonnegative":[77,110],"mixture":[78],"polynomial-exponential":[80],"product":[81],"kernels":[82],"derive":[84],"strictly":[86],"positive":[87,96],"random-feature":[88],"approximation":[89,155],"enabling":[90,162],"O(L)":[92],"attention.":[93],"establish":[95],"definiteness":[97],"boundedness":[99],"show":[104],"estimator":[107],"yields":[108],"well-defined,":[109],"scores.":[112],"Empirically,":[113],"SLAY":[114,150],"achieves":[115],"performance":[116,168],"is":[118],"nearly":[119],"indistinguishable":[120],"from":[121],"standard":[122],"softmax":[123,157],"while":[125],"retaining":[126],"linear":[127],"time":[128],"memory":[130],"scaling,":[131],"consistently":[133],"outperforms":[134],"prior":[135],"such":[139],"Performers":[141],"Cosformers.":[143],"To":[144],"best":[146],"our":[148],"knowledge,":[149],"represents":[151],"closest":[153],"reported":[159],"date,":[161],"scalable":[163],"Transformers":[164],"without":[165],"typical":[167],"trade-offs":[169],"linearization.":[172]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-02-07T00:00:00"}