{"id":"https://openalex.org/W4415696049","doi":"https://doi.org/10.1109/tpami.2025.3626404","title":"Energy-Based Model for Accurate Estimation of Shapley Values in Feature Attribution","display_name":"Energy-Based Model for Accurate Estimation of Shapley Values in Feature Attribution","publication_year":2025,"publication_date":"2025-10-28","ids":{"openalex":"https://openalex.org/W4415696049","doi":"https://doi.org/10.1109/tpami.2025.3626404","pmid":"https://pubmed.ncbi.nlm.nih.gov/41150236"},"language":"en","primary_location":{"id":"doi:10.1109/tpami.2025.3626404","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2025.3626404","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Cheng Lu","orcid":"https://orcid.org/0000-0001-9414-7131"},"institutions":[{"id":"https://openalex.org/I55538621","display_name":"China Jiliang University","ror":"https://ror.org/05v1y0t93","country_code":"CN","type":"education","lineage":["https://openalex.org/I55538621"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng Lu","raw_affiliation_strings":["College of Metrology Measurement and Instrument, China Jiliang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-9414-7131","affiliations":[{"raw_affiliation_string":"College of Metrology Measurement and Instrument, China Jiliang University, Hangzhou, China","institution_ids":["https://openalex.org/I55538621"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102869416","display_name":"Jiusun Zeng","orcid":"https://orcid.org/0000-0002-9207-4415"},"institutions":[{"id":"https://openalex.org/I163151501","display_name":"Hangzhou Normal University","ror":"https://ror.org/014v1mr15","country_code":"CN","type":"education","lineage":["https://openalex.org/I163151501"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiusun Zeng","raw_affiliation_strings":["School of Mathematics, Hangzhou Normal University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-9207-4415","affiliations":[{"raw_affiliation_string":"School of Mathematics, Hangzhou Normal University, Hangzhou, China","institution_ids":["https://openalex.org/I163151501"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yu Xia","orcid":"https://orcid.org/0000-0003-2354-2227"},"institutions":[{"id":"https://openalex.org/I163151501","display_name":"Hangzhou Normal University","ror":"https://ror.org/014v1mr15","country_code":"CN","type":"education","lineage":["https://openalex.org/I163151501"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Xia","raw_affiliation_strings":["School of Mathematics, Hangzhou Normal University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-2354-2227","affiliations":[{"raw_affiliation_string":"School of Mathematics, Hangzhou Normal University, Hangzhou, China","institution_ids":["https://openalex.org/I163151501"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102217983","display_name":"Jinhui Cai","orcid":null},"institutions":[{"id":"https://openalex.org/I55538621","display_name":"China Jiliang University","ror":"https://ror.org/05v1y0t93","country_code":"CN","type":"education","lineage":["https://openalex.org/I55538621"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinhui Cai","raw_affiliation_strings":["College of Metrology Measurement and Instrument, China Jiliang University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Metrology Measurement and Instrument, China Jiliang University, Hangzhou, China","institution_ids":["https://openalex.org/I55538621"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046872618","display_name":"Shihua Luo","orcid":"https://orcid.org/0000-0002-0793-7950"},"institutions":[{"id":"https://openalex.org/I59649739","display_name":"Jiangxi University of Finance and Economics","ror":"https://ror.org/03efmyj29","country_code":"CN","type":"education","lineage":["https://openalex.org/I59649739"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shihua Luo","raw_affiliation_strings":["School of Statistics, Jiangxi University of Finance and Economics, Nanchang, China"],"raw_orcid":"https://orcid.org/0000-0002-0793-7950","affiliations":[{"raw_affiliation_string":"School of Statistics, Jiangxi University of Finance and Economics, Nanchang, China","institution_ids":["https://openalex.org/I59649739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15764989,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"48","issue":"3","first_page":"2496","last_page":"2513"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12026","display_name":"Explainable Artificial Intelligence (XAI)","score":0.6675000190734863,"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"}},"topics":[{"id":"https://openalex.org/T12026","display_name":"Explainable Artificial Intelligence (XAI)","score":0.6675000190734863,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.07329999655485153,"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/T11652","display_name":"Imbalanced Data Classification Techniques","score":0.02290000021457672,"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/shapley-value","display_name":"Shapley value","score":0.746399998664856},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5773000121116638},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5170000195503235},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.43639999628067017},{"id":"https://openalex.org/keywords/feature","display_name":"Feature (linguistics)","score":0.41749998927116394},{"id":"https://openalex.org/keywords/feature-vector","display_name":"Feature vector","score":0.4113999903202057},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.37709999084472656}],"concepts":[{"id":"https://openalex.org/C199022921","wikidata":"https://www.wikidata.org/wiki/Q240046","display_name":"Shapley value","level":3,"score":0.746399998664856},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5979999899864197},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5773000121116638},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5170000195503235},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.44519999623298645},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.43639999628067017},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.41749998927116394},{"id":"https://openalex.org/C83665646","wikidata":"https://www.wikidata.org/wiki/Q42139305","display_name":"Feature vector","level":2,"score":0.4113999903202057},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4049000144004822},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40119999647140503},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.37709999084472656},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.3264000117778778},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3260999917984009},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.30730000138282776},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.30480000376701355},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.2919999957084656},{"id":"https://openalex.org/C89106044","wikidata":"https://www.wikidata.org/wiki/Q45284","display_name":"Likelihood function","level":3,"score":0.2736000120639801},{"id":"https://openalex.org/C43555835","wikidata":"https://www.wikidata.org/wiki/Q2300258","display_name":"Conditional probability distribution","level":2,"score":0.2651999890804291},{"id":"https://openalex.org/C67186912","wikidata":"https://www.wikidata.org/wiki/Q367664","display_name":"Data modeling","level":2,"score":0.2635999917984009},{"id":"https://openalex.org/C44492722","wikidata":"https://www.wikidata.org/wiki/Q327069","display_name":"Conditional probability","level":2,"score":0.25920000672340393},{"id":"https://openalex.org/C186215838","wikidata":"https://www.wikidata.org/wiki/Q772232","display_name":"Conditional expectation","level":2,"score":0.2513999938964844}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tpami.2025.3626404","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpami.2025.3626404","pdf_url":null,"source":{"id":"https://openalex.org/S199944782","display_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","issn_l":"0162-8828","issn":["0162-8828","1939-3539","2160-9292"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Pattern Analysis and Machine Intelligence","raw_type":"journal-article"},{"id":"pmid:41150236","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41150236","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on pattern analysis and machine intelligence","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1846721302","display_name":"\u57fa\u4e8e\u6570\u636e\u79d1\u5b66\u7684\u975e\u51f8\u95ee\u9898\u6570\u5b66\u7406\u8bba","funder_award_id":"LZ23A010002","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G420315194","display_name":null,"funder_award_id":"U21A20426","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G554959060","display_name":null,"funder_award_id":"12271133","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W2015731569","https://openalex.org/W2034641173","https://openalex.org/W2038127015","https://openalex.org/W2073231946","https://openalex.org/W2129888542","https://openalex.org/W2194775991","https://openalex.org/W2396881363","https://openalex.org/W2487898712","https://openalex.org/W2583836055","https://openalex.org/W2964142373","https://openalex.org/W2969880113","https://openalex.org/W2981731882","https://openalex.org/W2999615587","https://openalex.org/W3013538554","https://openalex.org/W3022746105","https://openalex.org/W3081430106","https://openalex.org/W3095482116","https://openalex.org/W3115254707","https://openalex.org/W3150212014","https://openalex.org/W3171209108","https://openalex.org/W3177318507","https://openalex.org/W3206048862","https://openalex.org/W3207298831","https://openalex.org/W4233659442","https://openalex.org/W4238472918","https://openalex.org/W4322588511","https://openalex.org/W4366835582","https://openalex.org/W4377226909","https://openalex.org/W4380433173","https://openalex.org/W4382317738","https://openalex.org/W4393156507","https://openalex.org/W4393159594","https://openalex.org/W4393159983","https://openalex.org/W4394744926","https://openalex.org/W4396778642","https://openalex.org/W4403888510","https://openalex.org/W4407355809","https://openalex.org/W7124142266"],"related_works":[],"abstract_inverted_index":{"Shapley":[0,30,55,60,71],"value":[1,31,56,61],"is":[2,64,120,152],"a":[3,15,111,129,137,148],"widely":[4],"used":[5],"tool":[6],"in":[7,44,190],"explainable":[8],"artificial":[9],"intelligence":[10],"(XAI),":[11],"as":[12,173,175],"it":[13],"provides":[14,96],"principled":[16],"way":[17],"to":[18,24,66,91,140,154,177,192],"attribute":[19],"contributions":[20],"of":[21,29,70,78,87,144,188],"input":[22,134],"features":[23,79,135],"model":[25,53,89,92],"outputs.":[26],"However,":[27],"estimation":[28,62,109,118],"requires":[32],"capturing":[33],"conditional":[34,104],"dependencies":[35,127],"among":[36],"all":[37],"feature":[38,145],"combinations,":[39],"which":[40],"poses":[41],"significant":[42],"challenges":[43],"complex":[45,93],"data":[46],"environments.":[47],"In":[48],"this":[49],"article,":[50],"EmSHAP":[51,95,189],"(Energy-based":[52],"for":[54,100],"estimation),":[57],"an":[58,97],"accurate":[59],"method,":[63],"proposed":[65],"estimate":[67],"the":[68,75,81,85,102,142,157,164,170,182],"expectation":[69],"contribution":[72],"function":[73,117],"under":[74],"arbitrary":[76],"subset":[77],"given":[80],"rest.":[82],"By":[83],"utilizing":[84],"ability":[86],"energy-based":[88],"(EBM)":[90],"distributions,":[94],"effective":[98],"solution":[99],"estimating":[101],"required":[103],"probabilities.":[105],"To":[106],"further":[107,155],"improve":[108],"accuracy,":[110],"GRU":[112,123],"(Gated":[113],"Recurrent":[114],"Unit)-coupled":[115],"partition":[116],"method":[119],"introduced.":[121],"The":[122],"network":[124],"captures":[125],"long-term":[126],"with":[128],"lightweight":[130],"parameterization":[131],"and":[132,159,185],"maps":[133],"into":[136],"latent":[138],"space":[139],"mitigate":[141],"influence":[143],"ordering.":[146],"Additionally,":[147],"dynamic":[149],"masking":[150,165],"mechanism":[151],"incorporated":[153],"enhance":[156],"robustness":[158],"accuracy":[160,184],"by":[161],"progressively":[162],"increasing":[163],"rate.":[166],"Theoretical":[167],"analysis":[168],"on":[169],"error":[171],"bound":[172],"well":[174],"application":[176],"four":[178],"case":[179],"studies":[180],"verified":[181],"higher":[183],"better":[186],"scalability":[187],"contrast":[191],"competitive":[193],"methods.":[194]},"counts_by_year":[],"updated_date":"2026-07-13T07:31:44.756512","created_date":"2025-10-30T00:00:00"}
