{"id":"https://openalex.org/W1977941993","doi":"https://doi.org/10.1017/s0963548313000643","title":"On the Importance Sampling of Self-Avoiding Walks","display_name":"On the Importance Sampling of Self-Avoiding Walks","publication_year":2014,"publication_date":"2014-01-20","ids":{"openalex":"https://openalex.org/W1977941993","doi":"https://doi.org/10.1017/s0963548313000643","mag":"1977941993"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548313000643","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/1106.1876","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014744803","display_name":"Mireille Bousquet\u2010M\u00e9lou","orcid":"https://orcid.org/0000-0002-2863-8300"},"institutions":[{"id":"https://openalex.org/I4210142254","display_name":"Laboratoire Bordelais de Recherche en Informatique","ror":"https://ror.org/03adqg323","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210142254","https://openalex.org/I4210159245","https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"MIREILLE BOUSQUET-M\u00c9LOU","raw_affiliation_strings":["LaBRI#TAB#"],"affiliations":[{"raw_affiliation_string":"LaBRI#TAB#","institution_ids":["https://openalex.org/I4210142254"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014744803"],"corresponding_institution_ids":["https://openalex.org/I4210142254"],"apc_list":null,"apc_paid":null,"fwci":1.114,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.747149,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":82,"max":83},"biblio":{"volume":"23","issue":"5","first_page":"725","last_page":"748"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9949,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9949,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9836,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10637","display_name":"Advanced Clustering Algorithms Research","score":0.9833,"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":[],"concepts":[{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5535583},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.368916},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.33663386},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3339615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32317817},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14048761},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09029019},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548313000643","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1106.1876","pdf_url":"http://arxiv.org/pdf/1106.1876","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.science/hal-00599400","pdf_url":"https://hal.science/hal-00599400/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-00599400v2/file/sampling.pdf","pdf_url":"https://hal.archives-ouvertes.fr/hal-00599400v2/file/sampling.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.science/hal-00599400v2/file/sampling.pdf","pdf_url":"https://hal.science/hal-00599400v2/file/sampling.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.archives-ouvertes.fr/hal-00599400v2/document","pdf_url":"https://hal.archives-ouvertes.fr/hal-00599400v2/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Centre National de la Recherche Scientifique"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://hal.science/hal-00599400v2/document","pdf_url":"https://hal.science/hal-00599400v2/document","source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1106.1876","pdf_url":"https://arxiv.org/pdf/1106.1876","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":false,"landing_page_url":"https://api.datacite.org/dois/10.48550/arxiv.1106.1876","pdf_url":null,"source":{"id":"https://openalex.org/S4393179698","display_name":"DataCite API","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I4210145204","host_organization_name":"DataCite","host_organization_lineage":["https://openalex.org/I4210145204"],"host_organization_lineage_names":["DataCite"],"type":"metadata"},"license":null,"license_id":null,"version":null}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1106.1876","pdf_url":"http://arxiv.org/pdf/1106.1876","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":27,"referenced_works":["https://openalex.org/W1518747218","https://openalex.org/W1571676175","https://openalex.org/W1593554773","https://openalex.org/W186403072","https://openalex.org/W1965010884","https://openalex.org/W1978479505","https://openalex.org/W1997557309","https://openalex.org/W1997970739","https://openalex.org/W2003153172","https://openalex.org/W2032262903","https://openalex.org/W2067239301","https://openalex.org/W2082738784","https://openalex.org/W2097983898","https://openalex.org/W2118369779","https://openalex.org/W2127130792","https://openalex.org/W2161255851","https://openalex.org/W2340541605","https://openalex.org/W2593887736","https://openalex.org/W2786914253","https://openalex.org/W2914659449","https://openalex.org/W2951707051","https://openalex.org/W3023318857","https://openalex.org/W3099802185","https://openalex.org/W3103077805","https://openalex.org/W4300073819","https://openalex.org/W4301097275","https://openalex.org/W4384817650"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W3107697994","https://openalex.org/W3002753104","https://openalex.org/W2748952813","https://openalex.org/W2142036596","https://openalex.org/W2077600819","https://openalex.org/W2072657027","https://openalex.org/W2061531152","https://openalex.org/W2007980826","https://openalex.org/W1979597421"],"abstract_inverted_index":{"In":[0,147],"a":[1,18,50,118,127,201,226,230],"1976":[2],"paper":[3,244],"published":[4],"in":[5,105,177,211],"Science":[6],",":[7,93],"Knuth":[8,60,122],"presented":[9],"an":[10,29],"algorithm":[11,224],"to":[12,45,102,171],"sample":[13],"(non-uniform)":[14],"self-avoiding":[15,88,198],"walks":[16,89,125,159,199],"crossing":[17,126,200],"square":[19,131],"of":[20,34,39,49,90,96,134,161,181,186,220,229,251,258],"side":[21],"k":[22,55,128,130,188,212],".":[23,56,107,146,173,190,238],"From":[24,57],"this":[25,40,63,148],"sample,":[26],"he":[27],"constructed":[28],"estimator":[30,41,71,99,260],"for":[31,117,158,196],"the":[32,46,70,81,94,97,139,167,178,182,205,217,243,256,259],"number":[33],"such":[35],"walks.":[36],"The":[37,239],"quality":[38],"is":[42,100,142,175,185,215,225,249],"directly":[43],"related":[44],"(relative)":[47],"variance":[48,64,95,141,169,207,257],"certain":[51],"random":[52],"variable":[53],"X":[54],"his":[58],"experiments,":[59],"suspected":[61],"that":[62,69,123,204],"was":[65],"extremely":[66],"large":[67],"(so":[68],"would":[72],"not":[73],"be":[74,103,209,262],"very":[75,252],"efficient).":[76],"But":[77],"how":[78],"large?":[79],"For":[80],"analogous":[82],"Rosenbluth":[83],"algorithm,":[84],"which":[85,184],"samples":[86],"unconfined":[87],"length":[91,180,219],"n":[92,106],"corresponding":[98],"believed":[101],"exponential":[104,176,210],"A":[108],"few":[109,253],"years":[110],"ago,":[111],"Bassetti":[112,246],"and":[113,132,136,155,164,247],"Diaconis":[114],"showed":[115],"that,":[116,157],"sampler":[119],"\u00e0":[120],"la":[121],"generates":[124],"\u00d7":[129],"consisting":[133,160],"North":[135],"East":[137,165],"steps,":[138,166],"relative":[140,168,206],"only":[143],"$O(\\sqrt":[144],"k)$":[145],"note":[149],"we":[150],"take":[151],"one":[152,250],"step":[153],"further":[154],"show":[156],"North,":[162],"South":[163],"jumps":[170],"$2^{k(k+1)}/(k+1)^{2k}$":[172],"This":[174],"average":[179,218],"walks,":[183],"order":[187],"2":[189,213],"We":[191],"also":[192],"obtain":[193],"partial":[194],"results":[195],"general":[197],"square,":[202],"suggesting":[203],"could":[208],"(which":[214],"again":[216],"these":[221],"walks).":[222],"Knuth's":[223],"basic":[227],"example":[228],"widely":[231],"used":[232],"technique":[233],"called":[234],"sequential":[235],"importance":[236],"sampling":[237],"present":[240],"paper,":[241],"following":[242],"by":[245],"Diaconis,":[248],"examples":[254],"where":[255],"can":[261],"found.":[263]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1977941993","counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-03-20T09:02:12.898350","created_date":"2016-06-24"}