{"id":"https://openalex.org/W4388732122","doi":"https://doi.org/10.1137/22m1517135","title":"Estimating a Potential Without the Agony of the Partition Function","display_name":"Estimating a Potential Without the Agony of the Partition Function","publication_year":2023,"publication_date":"2023-11-16","ids":{"openalex":"https://openalex.org/W4388732122","doi":"https://doi.org/10.1137/22m1517135"},"language":"en","primary_location":{"id":"doi:10.1137/22m1517135","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1137/22m1517135","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://dx.doi.org/10.1137/22m1517135","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029362936","display_name":"Eldad Haber","orcid":null},"institutions":[{"id":"https://openalex.org/I1319689352","display_name":"Fisheries and Oceans Canada","ror":"https://ror.org/02qa1x782","country_code":"CA","type":"government","lineage":["https://openalex.org/I1319689352","https://openalex.org/I2802286613"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Eldad Haber","raw_affiliation_strings":["Department of Earth and Ocean Science, UBC, Vancouver, BC V6T 1Z4 Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Earth and Ocean Science, UBC, Vancouver, BC V6T 1Z4 Canada","institution_ids":["https://openalex.org/I1319689352"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064732307","display_name":"Moshe Eliasof","orcid":"https://orcid.org/0000-0002-1780-2312"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Moshe Eliasof","raw_affiliation_strings":["Computer Science Department, Ben-Gurion University of the Negev, Be\u2019er Sheva, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, Ben-Gurion University of the Negev, Be\u2019er Sheva, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048821900","display_name":"Luis Tenorio","orcid":"https://orcid.org/0000-0001-9701-182X"},"institutions":[{"id":"https://openalex.org/I167576493","display_name":"Colorado School of Mines","ror":"https://ror.org/04raf6v53","country_code":"US","type":"education","lineage":["https://openalex.org/I167576493"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Luis Tenorio","raw_affiliation_strings":["Applied Mathematics and Statistics, Colorado School of Mines, Golden, CO 80401 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Applied Mathematics and Statistics, Colorado School of Mines, Golden, CO 80401 USA","institution_ids":["https://openalex.org/I167576493"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3096,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64141074,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"5","issue":"4","first_page":"1005","last_page":"1027"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9958999752998352,"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/T10136","display_name":"Statistical Methods and Inference","score":0.9958999752998352,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9958999752998352,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9954000115394592,"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/estimator","display_name":"Estimator","score":0.7317680716514587},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6814171075820923},{"id":"https://openalex.org/keywords/normalization","display_name":"Normalization (sociology)","score":0.5595614910125732},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.545214056968689},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5151864290237427},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49382075667381287},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4677686095237732},{"id":"https://openalex.org/keywords/partition-function","display_name":"Partition function (quantum field theory)","score":0.46524015069007874},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.454127699136734},{"id":"https://openalex.org/keywords/maximum-a-posteriori-estimation","display_name":"Maximum a posteriori estimation","score":0.43355071544647217},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4321502149105072},{"id":"https://openalex.org/keywords/partition-problem","display_name":"Partition problem","score":0.4228402078151703},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.4212293326854706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3995276689529419},{"id":"https://openalex.org/keywords/maximum-likelihood","display_name":"Maximum likelihood","score":0.19594377279281616},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16097357869148254}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.7317680716514587},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6814171075820923},{"id":"https://openalex.org/C136886441","wikidata":"https://www.wikidata.org/wiki/Q926129","display_name":"Normalization (sociology)","level":2,"score":0.5595614910125732},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.545214056968689},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5151864290237427},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49382075667381287},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4677686095237732},{"id":"https://openalex.org/C2778401447","wikidata":"https://www.wikidata.org/wiki/Q7140637","display_name":"Partition function (quantum field theory)","level":2,"score":0.46524015069007874},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.454127699136734},{"id":"https://openalex.org/C9810830","wikidata":"https://www.wikidata.org/wiki/Q635384","display_name":"Maximum a posteriori estimation","level":3,"score":0.43355071544647217},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4321502149105072},{"id":"https://openalex.org/C35995877","wikidata":"https://www.wikidata.org/wiki/Q1065968","display_name":"Partition problem","level":3,"score":0.4228402078151703},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.4212293326854706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3995276689529419},{"id":"https://openalex.org/C49781872","wikidata":"https://www.wikidata.org/wiki/Q1045555","display_name":"Maximum likelihood","level":2,"score":0.19594377279281616},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16097357869148254},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C19165224","wikidata":"https://www.wikidata.org/wiki/Q23404","display_name":"Anthropology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1517135","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1137/22m1517135","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1137/22m1517135","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1137/22m1517135","pdf_url":null,"source":{"id":"https://openalex.org/S4210229561","display_name":"SIAM Journal on Mathematics of Data Science","issn_l":"2577-0187","issn":["2577-0187"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematics of Data Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W71081281","https://openalex.org/W579985084","https://openalex.org/W1535258871","https://openalex.org/W1551745356","https://openalex.org/W1594234351","https://openalex.org/W1986931325","https://openalex.org/W1990512452","https://openalex.org/W1994616650","https://openalex.org/W2034767804","https://openalex.org/W2047676282","https://openalex.org/W2047929780","https://openalex.org/W2062160197","https://openalex.org/W2322461341","https://openalex.org/W2736297478","https://openalex.org/W2777802649","https://openalex.org/W2945228649","https://openalex.org/W2974916071","https://openalex.org/W2982859738","https://openalex.org/W3021094251","https://openalex.org/W3045332022","https://openalex.org/W3127618774","https://openalex.org/W3134296671","https://openalex.org/W4229628595","https://openalex.org/W4239726656"],"related_works":["https://openalex.org/W2025912669","https://openalex.org/W2057299700","https://openalex.org/W1549987457","https://openalex.org/W2014615094","https://openalex.org/W1977789739","https://openalex.org/W2351778335","https://openalex.org/W4240458717","https://openalex.org/W2497180562","https://openalex.org/W2379495598","https://openalex.org/W2047470742"],"abstract_inverted_index":{"Estimating":[0],"a":[1,6,77,111,125],"Gibbs":[2],"density":[3],"function":[4,35,43],"given":[5],"sample":[7],"is":[8,25,55],"an":[9,71,105],"important":[10],"problem":[11,103,123],"in":[12],"computational":[13],"statistics":[14],"and":[15,63,100],"statistical":[16],"learning.":[17],"Although":[18],"the":[19,30,33,37,40,94,97,102,121,132],"well":[20],"established":[21],"maximum":[22,76,84],"likelihood":[23],"method":[24],"commonly":[26],"used,":[27],"it":[28],"requires":[29],"computation":[31,54,95],"of":[32,39,96,134],"partition":[34,98],"(i.e.,":[36],"normalization":[38],"density).":[41],"This":[42],"can":[44],"be":[45],"easily":[46],"calculated":[47],"for":[48,60],"simple":[49],"low-dimensional":[50],"problems":[51],"but":[52],"its":[53],"difficult":[56],"or":[57],"even":[58],"intractable":[59],"general":[61],"densities":[62],"high-dimensional":[64],"problems.":[65],"In":[66],"this":[67],"paper":[68],"we":[69,82],"propose":[70,110],"alternative":[72],"approach":[73],"based":[74],"on":[75,137],"posteriori":[78],"(MAP)":[79],"estimators,":[80],"which":[81],"name":[83],"recovery":[85],"MAP,":[86],"to":[87,118],"derive":[88],"estimators":[89],"that":[90,115],"do":[91],"not":[92],"require":[93],"function,":[99],"reformulate":[101],"as":[104,124],"optimization":[106,122],"problem.":[107],"We":[108,130],"further":[109],"least-action":[112],"type":[113],"potential":[114],"allows":[116],"us":[117],"quickly":[119],"solve":[120],"feed-forward":[126],"hyperbolic":[127],"neural":[128],"network.":[129],"demonstrate":[131],"effectiveness":[133],"our":[135],"methods":[136],"some":[138],"standard":[139],"data":[140],"sets.":[141]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
