{"id":"https://openalex.org/W4411394869","doi":"https://doi.org/10.3389/frai.2025.1549085","title":"Elucidating linear programs by neural encodings","display_name":"Elucidating linear programs by neural encodings","publication_year":2025,"publication_date":"2025-06-18","ids":{"openalex":"https://openalex.org/W4411394869","doi":"https://doi.org/10.3389/frai.2025.1549085","pmid":"https://pubmed.ncbi.nlm.nih.gov/40607448"},"language":"en","primary_location":{"id":"doi:10.3389/frai.2025.1549085","is_oa":true,"landing_page_url":"https://doi.org/10.3389/frai.2025.1549085","pdf_url":"https://www.frontiersin.org/journals/artificial-intelligence/articles/10.3389/frai.2025.1549085/pdf","source":{"id":"https://openalex.org/S4210197006","display_name":"Frontiers in Artificial Intelligence","issn_l":"2624-8212","issn":["2624-8212"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.frontiersin.org/journals/artificial-intelligence/articles/10.3389/frai.2025.1549085/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025022553","display_name":"Florian Peter Busch","orcid":"https://orcid.org/0009-0009-9467-1975"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]},{"id":"https://openalex.org/I4210125013","display_name":"Hessian Agency for Nature Conservation, Environment and Geology","ror":"https://ror.org/02y05ge92","country_code":"DE","type":"government","lineage":["https://openalex.org/I4210125013"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Florian Peter Busch","raw_affiliation_strings":["Department of Computer Science, Technical University of Darmstadt, Darmstadt, Germany","Hessian Center for AI (hessian.AI), Darmstadt, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technical University of Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]},{"raw_affiliation_string":"Hessian Center for AI (hessian.AI), Darmstadt, Germany","institution_ids":["https://openalex.org/I4210125013"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039693339","display_name":"Matej Ze\u010devi\u0107","orcid":"https://orcid.org/0000-0001-5293-5850"},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Matej Ze\u010devi\u0107","raw_affiliation_strings":["Department of Computer Science, Technical University of Darmstadt, Darmstadt, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technical University of Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103337441","display_name":"Kristian Kersting","orcid":null},"institutions":[{"id":"https://openalex.org/I31512782","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24","country_code":"DE","type":"education","lineage":["https://openalex.org/I31512782"]},{"id":"https://openalex.org/I33256026","display_name":"German Research Centre for Artificial Intelligence","ror":"https://ror.org/01ayc5b57","country_code":"DE","type":"funder","lineage":["https://openalex.org/I33256026"]},{"id":"https://openalex.org/I4210125013","display_name":"Hessian Agency for Nature Conservation, Environment and Geology","ror":"https://ror.org/02y05ge92","country_code":"DE","type":"government","lineage":["https://openalex.org/I4210125013"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Kristian Kersting","raw_affiliation_strings":["Centre for Cognitive Science, Technical University of Darmstadt, Darmstadt, Germany","Department of Computer Science, Technical University of Darmstadt, Darmstadt, Germany","Foundations of Systems AI, German Center for Artificial Intelligence (DFKI), Darmstadt, Germany","Hessian Center for AI (hessian.AI), Darmstadt, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Cognitive Science, Technical University of Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]},{"raw_affiliation_string":"Department of Computer Science, Technical University of Darmstadt, Darmstadt, Germany","institution_ids":["https://openalex.org/I31512782"]},{"raw_affiliation_string":"Foundations of Systems AI, German Center for Artificial Intelligence (DFKI), Darmstadt, Germany","institution_ids":["https://openalex.org/I33256026"]},{"raw_affiliation_string":"Hessian Center for AI (hessian.AI), Darmstadt, Germany","institution_ids":["https://openalex.org/I4210125013"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029345613","display_name":"Devendra Singh Dhami","orcid":"https://orcid.org/0000-0002-4331-7193"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Devendra Singh Dhami","raw_affiliation_strings":["Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5025022553"],"corresponding_institution_ids":["https://openalex.org/I31512782","https://openalex.org/I4210125013"],"apc_list":{"value":1150,"currency":"USD","value_usd":1150},"apc_paid":{"value":1150,"currency":"USD","value_usd":1150},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06610022,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":null,"first_page":"1549085","last_page":"1549085"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12026","display_name":"Explainable Artificial Intelligence (XAI)","score":0.9993000030517578,"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":0.9993000030517578,"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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9987000226974487,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9937000274658203,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.6804065704345703},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.618608295917511},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.6101808547973633},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.596655547618866},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.5381665229797363},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.48414379358291626},{"id":"https://openalex.org/keywords/attribution","display_name":"Attribution","score":0.4495188891887665},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.44203802943229675},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.4376216530799866},{"id":"https://openalex.org/keywords/deep-neural-networks","display_name":"Deep neural networks","score":0.43755874037742615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24676728248596191},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.16390466690063477},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.07927268743515015}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6804065704345703},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.618608295917511},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.6101808547973633},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.596655547618866},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.5381665229797363},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.48414379358291626},{"id":"https://openalex.org/C143299363","wikidata":"https://www.wikidata.org/wiki/Q900584","display_name":"Attribution","level":2,"score":0.4495188891887665},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.44203802943229675},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.4376216530799866},{"id":"https://openalex.org/C2984842247","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep neural networks","level":3,"score":0.43755874037742615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24676728248596191},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.16390466690063477},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.07927268743515015},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3389/frai.2025.1549085","is_oa":true,"landing_page_url":"https://doi.org/10.3389/frai.2025.1549085","pdf_url":"https://www.frontiersin.org/journals/artificial-intelligence/articles/10.3389/frai.2025.1549085/pdf","source":{"id":"https://openalex.org/S4210197006","display_name":"Frontiers in Artificial Intelligence","issn_l":"2624-8212","issn":["2624-8212"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence","raw_type":"journal-article"},{"id":"pmid:40607448","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40607448","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":"Frontiers in artificial intelligence","raw_type":null},{"id":"pmh:oai:tubiblio.ulb.tu-darmstadt.de:155949","is_oa":false,"landing_page_url":"http://tubiblio.ulb.tu-darmstadt.de/view/person/Busch=3AFlorian_Peter=3A=3A.html>","pdf_url":null,"source":{"id":"https://openalex.org/S4377196390","display_name":"TUbilio (Technical University of Darmstadt)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I31512782","host_organization_name":"Technische Universit\u00e4t Darmstadt","host_organization_lineage":["https://openalex.org/I31512782"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Artikel"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/292a8550-723f-491d-8ea6-444250f9cf16","is_oa":true,"landing_page_url":"https://research.tue.nl/en/publications/292a8550-723f-491d-8ea6-444250f9cf16","pdf_url":"https://pure.tue.nl/ws/files/378226266/frai-8-1549085.pdf","source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Busch, F P, Ze\u010devi\u0107, M, Kersting, K & Dhami, D S 2025, 'Elucidating linear programs by neural encodings', Frontiers in Artificial Intelligence , vol. 8, 1549085. https://doi.org/10.3389/frai.2025.1549085","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:989394961f3643f88e0a9bbde0c03b32","is_oa":true,"landing_page_url":"https://doaj.org/article/989394961f3643f88e0a9bbde0c03b32","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Frontiers in Artificial Intelligence, Vol 8 (2025)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:12213677","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/12213677","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Front Artif Intell","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3389/frai.2025.1549085","is_oa":true,"landing_page_url":"https://doi.org/10.3389/frai.2025.1549085","pdf_url":"https://www.frontiersin.org/journals/artificial-intelligence/articles/10.3389/frai.2025.1549085/pdf","source":{"id":"https://openalex.org/S4210197006","display_name":"Frontiers in Artificial Intelligence","issn_l":"2624-8212","issn":["2624-8212"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320527","host_organization_name":"Frontiers Media","host_organization_lineage":["https://openalex.org/P4310320527"],"host_organization_lineage_names":["Frontiers Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7400000095367432,"id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G446824328","display_name":null,"funder_award_id":"01IS19081","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"},{"id":"https://openalex.org/G6957527197","display_name":null,"funder_award_id":"FKZ 01IS19081","funder_id":"https://openalex.org/F4320321114","funder_display_name":"Bundesministerium f\u00fcr Bildung und Forschung"}],"funders":[{"id":"https://openalex.org/F4320321114","display_name":"Bundesministerium f\u00fcr Bildung und Forschung","ror":"https://ror.org/04pz7b180"},{"id":"https://openalex.org/F4320321651","display_name":"Technische Universiteit Eindhoven","ror":"https://ror.org/02c2kyt77"},{"id":"https://openalex.org/F4320323384","display_name":"Technische Universit\u00e4t Darmstadt","ror":"https://ror.org/05n911h24"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411394869.pdf","grobid_xml":"https://content.openalex.org/works/W4411394869.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1849277567","https://openalex.org/W1981185968","https://openalex.org/W2027923483","https://openalex.org/W2029018013","https://openalex.org/W2054826067","https://openalex.org/W2062075925","https://openalex.org/W2282821441","https://openalex.org/W2481108008","https://openalex.org/W2516786253","https://openalex.org/W2604272474","https://openalex.org/W2612690371","https://openalex.org/W2891069659","https://openalex.org/W2917767525","https://openalex.org/W2958514452","https://openalex.org/W2962858109","https://openalex.org/W2972854536","https://openalex.org/W2990138404","https://openalex.org/W3085380432","https://openalex.org/W3171896011","https://openalex.org/W3175429892","https://openalex.org/W4289258965","https://openalex.org/W4289744514","https://openalex.org/W4298857966","https://openalex.org/W4309400539","https://openalex.org/W4310416883","https://openalex.org/W4313650676","https://openalex.org/W6637407456","https://openalex.org/W6639204139","https://openalex.org/W6684191040","https://openalex.org/W6685133223","https://openalex.org/W6725845114","https://openalex.org/W6734194636","https://openalex.org/W6739901393","https://openalex.org/W6751739117","https://openalex.org/W6765045870","https://openalex.org/W6795136098","https://openalex.org/W6803226022"],"related_works":["https://openalex.org/W4285277090","https://openalex.org/W2035546108","https://openalex.org/W4327738859","https://openalex.org/W2376361520","https://openalex.org/W2133328864","https://openalex.org/W2093949997","https://openalex.org/W2570200690","https://openalex.org/W2389726244","https://openalex.org/W3030478661","https://openalex.org/W2323536476"],"abstract_inverted_index":{"Linear":[0],"Programs":[1],"(LPs)":[2],"are":[3,53,68,161],"one":[4],"of":[5,10,75,86,111,127,132,146],"the":[6,109,112,115,122,144,155],"major":[7],"building":[8],"blocks":[9],"AI":[11],"and":[12,57,79,121,159,174],"have":[13],"championed":[14],"recent":[15],"strides":[16],"in":[17,73,98],"differentiable":[18],"optimizers":[19],"for":[20,27,163],"learning":[21,50],"systems.":[22],"While":[23],"efficient":[24],"solvers":[25],"exist":[26],"even":[28],"high-dimensional":[29],"LPs,":[30,133],"explaining":[31],"their":[32],"solutions":[33],"has":[34,45],"not":[35,69],"received":[36],"much":[37],"attention":[38],"yet,":[39],"as":[40,108,186],"explainable":[41],"artificial":[42],"intelligence":[43],"(XAI)":[44],"mostly":[46,54],"focused":[47],"on":[48],"deep":[49],"models.":[51],"LPs":[52,87,97,172],"considered":[55],"white-box":[56],"thus":[58],"assumed":[59],"simple":[60],"to":[61,71,91,118,124],"explain,":[62],"but":[63],"we":[64,88,142,169],"argue":[65],"that":[66,171],"they":[67],"easy":[70],"understand":[72],"terms":[74],"relationships":[76],"between":[77],"inputs":[78],"outputs.":[80],"To":[81],"mitigate":[82],"this":[83],"rather":[84],"non-explainability":[85],"show":[89],"how":[90],"adapt":[92],"attribution":[93,156],"methods":[94,148,157],"by":[95,182],"encoding":[96,103],"a":[99,130,135,187],"neural":[100,151,188],"fashion.":[101],"The":[102],"functions":[104],"consider":[105],"aspects":[106],"such":[107],"feasibility":[110],"decision":[113],"space,":[114],"cost":[116],"attached":[117],"each":[119],"input,":[120],"distance":[123],"special":[125],"points":[126],"interest.":[128],"Using":[129],"variety":[131],"including":[134],"very":[136],"large-scale":[137],"LP":[138,152,185],"with":[139],"10k":[140],"dimensions,":[141],"demonstrate":[143,170],"usefulness":[145],"explanation":[147],"using":[149],"our":[150],"encodings,":[153],"although":[154],"Saliency":[158],"LIME":[160],"indistinguishable":[162],"low":[164],"perturbation":[165],"levels.":[166],"In":[167],"essence,":[168],"can":[173,179],"should":[175],"be":[176,180],"explained,":[177],"which":[178],"achieved":[181],"representing":[183],"an":[184],"network.":[189]},"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
