{"id":"https://openalex.org/W4399891648","doi":"https://doi.org/10.1145/3673651","title":"Query Lower Bounds for Log-concave Sampling","display_name":"Query Lower Bounds for Log-concave Sampling","publication_year":2024,"publication_date":"2024-06-21","ids":{"openalex":"https://openalex.org/W4399891648","doi":"https://doi.org/10.1145/3673651"},"language":"en","primary_location":{"id":"doi:10.1145/3673651","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3673651","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3673651","source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3673651","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052571538","display_name":"Sinho Chewi","orcid":"https://orcid.org/0000-0003-2701-0703"},"institutions":[{"id":"https://openalex.org/I40036882","display_name":"Institute for Advanced Study","ror":"https://ror.org/00f809463","country_code":"US","type":"facility","lineage":["https://openalex.org/I40036882"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sinho Chewi","raw_affiliation_strings":["Institute for Advanced Study, Princeton, United States"],"raw_orcid":"https://orcid.org/0000-0003-2701-0703","affiliations":[{"raw_affiliation_string":"Institute for Advanced Study, Princeton, United States","institution_ids":["https://openalex.org/I40036882"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032186989","display_name":"Jaume de Dios Pont","orcid":"https://orcid.org/0000-0002-2921-960X"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Jaume de Dios Pont","raw_affiliation_strings":["ETH Z\u00fcrich, Z\u00fcrich, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-2921-960X","affiliations":[{"raw_affiliation_string":"ETH Z\u00fcrich, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045207457","display_name":"J. Li","orcid":"https://orcid.org/0009-0003-5035-3728"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jerry Li","raw_affiliation_strings":["Microsoft Research, Redmond, United States"],"raw_orcid":"https://orcid.org/0009-0003-5035-3728","affiliations":[{"raw_affiliation_string":"Microsoft Research, Redmond, United States","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080916595","display_name":"Chen Lu","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chen Lu","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, United States"],"raw_orcid":"https://orcid.org/0009-0006-1567-1722","affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, United States","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013139853","display_name":"Shyam Narayanan","orcid":"https://orcid.org/0000-0002-2325-8923"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shyam Narayanan","raw_affiliation_strings":["Massachusetts Institute of Technology, Cambridge, United States"],"raw_orcid":"https://orcid.org/0000-0002-2325-8923","affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Cambridge, United States","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.086,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.7720027,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"71","issue":"4","first_page":"1","last_page":"42"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9957000017166138,"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/sampling","display_name":"Sampling (signal processing)","score":0.5807554125785828},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5074560046195984},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.42613548040390015},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3937913179397583},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37688758969306946},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09410563111305237},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.05226418375968933}],"concepts":[{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5807554125785828},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5074560046195984},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.42613548040390015},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3937913179397583},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37688758969306946},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09410563111305237},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.05226418375968933},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3673651","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3673651","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3673651","source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3673651","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3673651","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3673651","source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320314070","display_name":"Broad Institute","ror":"https://ror.org/05a0ya142"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4399891648.pdf"},"referenced_works_count":60,"referenced_works":["https://openalex.org/W1510593638","https://openalex.org/W1529142014","https://openalex.org/W1547983335","https://openalex.org/W1954227087","https://openalex.org/W1969061779","https://openalex.org/W1974755392","https://openalex.org/W1990457366","https://openalex.org/W1997424790","https://openalex.org/W2004082955","https://openalex.org/W2018233872","https://openalex.org/W2043657648","https://openalex.org/W2051029704","https://openalex.org/W2064769982","https://openalex.org/W2071048859","https://openalex.org/W2130152237","https://openalex.org/W2147487384","https://openalex.org/W2157988812","https://openalex.org/W2222154095","https://openalex.org/W2559655401","https://openalex.org/W2787990337","https://openalex.org/W2883952565","https://openalex.org/W2901838001","https://openalex.org/W2914815746","https://openalex.org/W2947292840","https://openalex.org/W2963096774","https://openalex.org/W2963225255","https://openalex.org/W2963421284","https://openalex.org/W2963599479","https://openalex.org/W2963794660","https://openalex.org/W2964047473","https://openalex.org/W2964155727","https://openalex.org/W2972843681","https://openalex.org/W2987409008","https://openalex.org/W3003921807","https://openalex.org/W3007012362","https://openalex.org/W3012852280","https://openalex.org/W3017508631","https://openalex.org/W3027786441","https://openalex.org/W3119098807","https://openalex.org/W3141126219","https://openalex.org/W3163522496","https://openalex.org/W3171798445","https://openalex.org/W3203468973","https://openalex.org/W3211464754","https://openalex.org/W4206742934","https://openalex.org/W4212774754","https://openalex.org/W4212992501","https://openalex.org/W4241623321","https://openalex.org/W4281672122","https://openalex.org/W4281689362","https://openalex.org/W4288029163","https://openalex.org/W4288346227","https://openalex.org/W4292691288","https://openalex.org/W4293471950","https://openalex.org/W4299557478","https://openalex.org/W4313227408","https://openalex.org/W4393002334","https://openalex.org/W6679525913","https://openalex.org/W6689417910","https://openalex.org/W6767727847"],"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":{"Log-concave":[0],"sampling":[1,44,69],"has":[2,21],"witnessed":[3],"remarkable":[4],"algorithmic":[5],"advances":[6],"in":[7,30,51,63,72,83,130,163],"recent":[8],"years,":[9],"but":[10],"the":[11,38,101,108,112,127,164],"corresponding":[12],"problem":[13],"of":[14,103,111],"proving":[15],"lower":[16,25,41,155],"bounds":[17,26],"for":[18,100,147],"this":[19,34,148],"task":[20],"remained":[22],"elusive,":[23],"with":[24],"previously":[27],"known":[28],"only":[29],"dimension":[31,52,73,84],"one.":[32],"In":[33],"work,":[35],"we":[36],"establish":[37],"following":[39],"query":[40,166],"bounds:":[42],"(1)":[43,119],"from":[45,70,77],"strongly":[46],"log-concave":[47,79],"and":[48,67,80,134],"log-smooth":[49,81],"distributions":[50,82],"\\(d\\ge":[53],"2\\)":[54],"requires":[55,87],"\\(\\Omega":[56],"(\\log":[57],"\\kappa)\\)":[58],"queries,":[59,95],"which":[60,96],"is":[61,97],"sharp":[62,99],"any":[64],"constant":[65],"dimension,":[66],"(2)":[68,135],"Gaussians":[71],"d":[74,85],"(hence":[75],"also":[76],"general":[78],")":[86],"\\(\\widetilde{\\Omega":[88],"}(\\min":[89],"(\\sqrt":[90],"\\kappa":[91],"\\log":[92],"d,":[93],"d))\\)":[94],"nearly":[98],"class":[102],"Gaussians.":[104],"Here,":[105],"\\(\\kappa\\)":[106],"denotes":[107],"condition":[109],"number":[110],"target":[113],"distribution.":[114],"Our":[115],"proofs":[116],"rely":[117],"upon":[118],"a":[120,136],"multiscale":[121],"construction":[122],"inspired":[123],"by":[124],"work":[125],"on":[126,159],"Kakeya":[128],"conjecture":[129],"geometric":[131],"measure":[132],"theory,":[133],"novel":[137],"reduction":[138],"that":[139,141],"demonstrates":[140],"block":[142],"Krylov":[143],"algorithms":[144],"are":[145],"optimal":[146],"problem,":[149],"as":[150,152],"well":[151],"connections":[153],"to":[154],"bound":[156],"techniques":[157],"based":[158],"Wishart":[160],"matrices":[161],"developed":[162],"matrix-vector":[165],"literature.":[167]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}