{"id":"https://openalex.org/W4399657730","doi":"https://doi.org/10.48550/arxiv.2406.08401","title":"Nystr\u00f6m Kernel Stein Discrepancy","display_name":"Nystr\u00f6m Kernel Stein Discrepancy","publication_year":2024,"publication_date":"2024-06-12","ids":{"openalex":"https://openalex.org/W4399657730","doi":"https://doi.org/10.48550/arxiv.2406.08401"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2406.08401","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2406.08401","pdf_url":"https://arxiv.org/pdf/2406.08401","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2406.08401","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054748088","display_name":"Florian Kalinke","orcid":"https://orcid.org/0000-0002-0443-6288"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kalinke, Florian","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044512769","display_name":"Zolt\u00e1n Szab\u00f3","orcid":"https://orcid.org/0000-0003-0089-262X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Szabo, Zoltan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5109582233","display_name":"Bharath K. Sriperumbudur","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sriperumbudur, Bharath K.","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054748088"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.7228000164031982,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.7228000164031982,"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/kernel","display_name":"Kernel (algebra)","score":0.557991623878479},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40340113639831543},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34846174716949463},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17482084035873413}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.557991623878479},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40340113639831543},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34846174716949463},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17482084035873413}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2406.08401","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2406.08401","pdf_url":"https://arxiv.org/pdf/2406.08401","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2406.08401","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2406.08401","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:arXiv.org:2406.08401","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2406.08401","pdf_url":"https://arxiv.org/pdf/2406.08401","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4399657730.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Kernel":[0],"methods":[1],"underpin":[2],"many":[3],"of":[4,22,30,45,59,140,148],"the":[5,33,43,52,57,69,78,145,149],"most":[6],"successful":[7],"approaches":[8],"in":[9,95],"data":[10],"science":[11],"and":[12,14,81,115,130],"statistics,":[13],"they":[15],"allow":[16],"representing":[17],"probability":[18],"measures":[19],"as":[20],"elements":[21],"a":[23,74,87,103,126,138],"reproducing":[24],"kernel":[25,34,46],"Hilbert":[26],"space":[27],"without":[28],"loss":[29],"information.":[31],"Recently,":[32],"Stein":[35,53],"discrepancy":[36],"(KSD),":[37],"which":[38,91],"combines":[39],"Stein's":[40],"method":[41],"with":[42,108,125],"flexibility":[44],"techniques,":[47],"gained":[48],"considerable":[49],"attention.":[50],"Through":[51],"operator,":[54],"KSD":[55,83,105,151],"allows":[56],"construction":[58],"powerful":[60],"goodness-of-fit":[61,135],"tests":[62],"where":[63],"it":[64],"is":[65],"sufficient":[66],"to":[67,73],"know":[68],"target":[70],"distribution":[71],"up":[72],"multiplicative":[75],"constant.":[76],"However,":[77],"typical":[79],"U-":[80],"V-statistic-based":[82],"estimators":[84],"suffer":[85],"from":[86],"quadratic":[88],"runtime":[89,109],"complexity,":[90],"hinders":[92],"their":[93],"application":[94],"large-scale":[96],"settings.":[97],"In":[98],"this":[99],"work,":[100],"we":[101],"propose":[102],"Nystr\u00f6m-based":[104],"acceleration":[106],"--":[107,120],"$\\mathcal":[110],"O\\left(mn+m^3\\right)$":[111],"for":[112,134],"$n$":[113],"samples":[114],"$m\\ll":[116],"n$":[117],"Nystr\u00f6m":[118],"points":[119],",":[121],"show":[122,144],"its":[123,132],"$\\sqrt{n}$-consistency":[124],"classical":[127],"sub-Gaussian":[128],"assumption,":[129],"demonstrate":[131],"applicability":[133],"testing":[136],"on":[137],"suite":[139],"benchmarks.":[141],"We":[142],"also":[143],"$\\sqrt":[146],"n$-consistency":[147],"quadratic-time":[150],"estimator.":[152]},"counts_by_year":[],"updated_date":"2026-03-11T14:59:36.786465","created_date":"2025-10-10T00:00:00"}
