乐胖代购免代理版

{"id":"https://openalex.org/W2964004077","doi":"https://doi.org/10.1109/allerton.2017.8262801","title":"Belief propagation, bethe approximation and polynomials","display_name":"Belief propagation, bethe approximation and polynomials","publication_year":2017,"publication_date":"2017-10-01","ids":{"openalex":"https://openalex.org/W2964004077","doi":"https://doi.org/10.1109/allerton.2017.8262801","mag":"2964004077"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262801","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1708.02581","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019340639","display_name":"Damian Straszak","orcid":"https://orcid.org/0000-0003-4013-2270"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Damian Straszak","raw_affiliation_strings":["\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Switzerland"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063089732","display_name":"Nisheeth K. Vishnoi","orcid":"https://orcid.org/0000-0002-0255-1119"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Nisheeth K. Vishnoi","raw_affiliation_strings":["\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Switzerland"],"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.687,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":10,"citation_normalized_percentile":{"value":0.639425,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":85,"max":86},"biblio":{"volume":null,"issue":null,"first_page":"666","last_page":"671"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9999,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9999,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9995,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9934,"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/factor-graph","display_name":"Factor graph","score":0.69711137},{"id":"https://openalex.org/keywords/belief-propagation","display_name":"Belief Propagation","score":0.6899729},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation Theory","score":0.42675573}],"concepts":[{"id":"https://openalex.org/C159246509","wikidata":"https://www.wikidata.org/wiki/Q5428725","display_name":"Factor graph","level":3,"score":0.69711137},{"id":"https://openalex.org/C152948882","wikidata":"https://www.wikidata.org/wiki/Q4060686","display_name":"Belief propagation","level":3,"score":0.6899729},{"id":"https://openalex.org/C2778401447","wikidata":"https://www.wikidata.org/wiki/Q7140637","display_name":"Partition function (quantum field theory)","level":2,"score":0.62434787},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.56203544},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4865126},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.46944544},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.46297783},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.42675573},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42626446},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42362893},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32530576},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19206727},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1327827},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.098742664},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0959726},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2017.8262801","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1708.02581","pdf_url":"https://arxiv.org/pdf/1708.02581","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1708.02581","pdf_url":"https://arxiv.org/pdf/1708.02581","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":["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":47,"referenced_works":["https://openalex.org/W1488574293","https://openalex.org/W1507653385","https://openalex.org/W1585256533","https://openalex.org/W1591480802","https://openalex.org/W1594620223","https://openalex.org/W1801773550","https://openalex.org/W1971521067","https://openalex.org/W1976278894","https://openalex.org/W1983001515","https://openalex.org/W1999344551","https://openalex.org/W2003979730","https://openalex.org/W2006912660","https://openalex.org/W2007995670","https://openalex.org/W2008095352","https://openalex.org/W2017722258","https://openalex.org/W2101478306","https://openalex.org/W2120340025","https://openalex.org/W2128765501","https://openalex.org/W2132806676","https://openalex.org/W2133068391","https://openalex.org/W2137813581","https://openalex.org/W2142408004","https://openalex.org/W2148195034","https://openalex.org/W2149760002","https://openalex.org/W2154512878","https://openalex.org/W2159080219","https://openalex.org/W2169415915","https://openalex.org/W2172204481","https://openalex.org/W2266569972","https://openalex.org/W2396077723","https://openalex.org/W2410275234","https://openalex.org/W2563037975","https://openalex.org/W2566505556","https://openalex.org/W2593579637","https://openalex.org/W2761017552","https://openalex.org/W2963034993","https://openalex.org/W2964191357","https://openalex.org/W2964197961","https://openalex.org/W3102147728","https://openalex.org/W3103704874","https://openalex.org/W3104489477","https://openalex.org/W3105113057","https://openalex.org/W3106495992","https://openalex.org/W3125447679","https://openalex.org/W4256035642","https://openalex.org/W4293052541","https://openalex.org/W65985142"],"related_works":["https://openalex.org/W4301665663","https://openalex.org/W3152713649","https://openalex.org/W3009052662","https://openalex.org/W26187695","https://openalex.org/W2150312244","https://openalex.org/W2143515091","https://openalex.org/W2124250880","https://openalex.org/W2122977448","https://openalex.org/W2114758843","https://openalex.org/W1981023414"],"abstract_inverted_index":{"Factor":[0],"graphs":[1,159,206,220],"are":[2],"important":[3],"models":[4],"for":[5,40,98,121,124,180],"representing":[6],"probability":[7],"distributions":[8],"in":[9,190,221],"machine":[10],"learning,":[11],"coding":[12],"theory,":[13],"and":[14,24,44,76,85,123,175,218],"statistical":[15],"physics.":[16],"Several":[17],"computational":[18],"problems,":[19],"such":[20],"as":[21,53,170],"computing":[22,25,41],"marginals":[23],"partition":[26,42,79,113,149],"functions,":[27],"arise":[28],"when":[29],"working":[30],"with":[31,62],"factor":[32,103,158,205,219],"graphs.":[33],"Bethe":[34,59,74,105,141,168],"approximation":[35,60,75,106,142,169],"is":[36,45,81,143],"an":[37],"optimization-based":[38],"framework":[39],"functions":[43],"known":[46],"to":[47,50,147,184,209],"be":[48],"related":[49],"belief":[51,67,215],"propagation,":[52],"the":[54,58,63,70,73,77,112,132,148,161,167,181,191,214],"stationary":[55],"points":[56,65],"of":[57,66,91,102,163,193,203,213],"coincide":[61],"fixed":[64],"propagation.":[68],"However,":[69],"relation":[71],"between":[72],"true":[78],"function":[80],"not":[82],"well":[83],"understood":[84],"has":[86,94,117],"been":[87,95,118],"recently":[88],"a":[89,99,108,136,144,171,177,210],"topic":[90],"study.":[92],"It":[93],"observed":[96],"that":[97,130,199],"few":[100],"classes":[101],"graphs,":[104],"gives":[107],"lower":[109,145,182],"bound":[110,146,183],"on":[111],"function.":[114,150],"This":[115],"observation":[116],"rigorously":[119],"proved":[120],"permanents":[122],"attractive":[125],"models.":[126],"Here":[127],"we":[128],"show":[129],"if":[131],"local":[133],"constraints":[134],"satisfy":[135],"certain":[137],"geometric":[138],"property,":[139],"then":[140],"We":[151,165,197],"arrive":[152],"at":[153],"our":[154],"result":[155],"by":[156,187],"viewing":[157,204],"through":[160],"lens":[162],"polynomials.":[164,196],"reformulate":[166],"polynomial":[172],"optimization":[173],"problem":[174],"state":[176],"sufficient":[178],"condition":[179],"hold":[185],"inspired":[186],"recent":[188],"developments":[189],"theory":[192],"real":[194],"stable":[195],"believe":[198],"this":[200],"new":[201],"way":[202],"might":[207],"lead":[208],"better":[211],"understanding":[212],"propagation":[216],"algorithm":[217],"general.":[222]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2964004077","counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2}],"updated_date":"2024-12-09T09:47:45.604966","created_date":"2019-07-30"}