{"id":"https://openalex.org/W7160601613","doi":"https://doi.org/10.48550/arxiv.2605.06212","title":"Playing the network backward: A Game Theoretic Attribution Framework","display_name":"Playing the network backward: A Game Theoretic Attribution Framework","publication_year":2026,"publication_date":"2026-05-07","ids":{"openalex":"https://openalex.org/W7160601613","doi":"https://doi.org/10.48550/arxiv.2605.06212"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.06212","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.06212","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.06212","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5135645473","display_name":"Jakob Paul Zimmermann","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zimmermann, Jakob Paul","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092691971","display_name":"Jim Berend","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Berend, Jim","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001022516","display_name":"Georg Loho","orcid":"https://orcid.org/0000-0001-6500-385X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Loho, Georg","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135696740","display_name":"Sebastian Lapuschkin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lapuschkin, Sebastian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5135682825","display_name":"Wojciech Samek","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Samek, Wojciech","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12026","display_name":"Explainable Artificial Intelligence (XAI)","score":0.8246999979019165,"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":0.8246999979019165,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.03099999949336052,"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":0.02630000002682209,"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/attribution","display_name":"Attribution","score":0.7861999869346619},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6078000068664551},{"id":"https://openalex.org/keywords/debugging","display_name":"Debugging","score":0.46549999713897705},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4284999966621399},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.3564000129699707}],"concepts":[{"id":"https://openalex.org/C143299363","wikidata":"https://www.wikidata.org/wiki/Q900584","display_name":"Attribution","level":2,"score":0.7861999869346619},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6215000152587891},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6078000068664551},{"id":"https://openalex.org/C168065819","wikidata":"https://www.wikidata.org/wiki/Q845566","display_name":"Debugging","level":2,"score":0.46549999713897705},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4284999966621399},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3817000091075897},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3621000051498413},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.3564000129699707},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.3474000096321106},{"id":"https://openalex.org/C145071142","wikidata":"https://www.wikidata.org/wiki/Q1411116","display_name":"Fictitious play","level":3,"score":0.3093000054359436},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.2745000123977661}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.06212","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.06212","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.06212","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.06212","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.4659157395362854,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Attribution":[0],"methods":[1,148],"explain":[2],"which":[3,34],"input":[4,104],"features":[5],"drive":[6],"a":[7,30,44,51],"model's":[8],"prediction,":[9],"making":[10],"them":[11],"central":[12],"to":[13,35,103],"model":[14],"debugging":[15],"and":[16,26,62,68,121,125],"mechanistic":[17],"interpretability.":[18],"Yet":[19],"backward":[20,39,48,134,147],"attribution":[21,49,83],"methods,":[22],"including":[23,116],"gradients,":[24],"LRP,":[25],"transformer-specific":[27,146],"rules,":[28],"lack":[29],"shared":[31],"framework":[32,45],"in":[33],"compare":[36],"the":[37,69,92,132],"underlying":[38],"calculations.":[40],"We":[41],"introduce":[42],"such":[43,98,139],"by":[46],"recasting":[47],"as":[50,74,99,113],"two-player":[52],"game":[53,77],"on":[54,60],"an":[55],"extended":[56,122],"network":[57],"graph,":[58],"building":[59],"Gaubert":[61],"Vlassopoulos'":[63],"ReLU":[64],"Net":[65],"Game.":[66],"Gradients":[67],"full":[70],"alpha-beta-LRP":[71,143],"family":[72],"arise":[73],"integrals":[75],"over":[76],"trajectories":[78],"under":[79],"specific":[80],"equilibria,":[81],"so":[82],"maps":[84],"become":[85],"projections":[86],"of":[87,131,142],"trajectory":[88],"distributions":[89],"rather":[90],"than":[91],"primary":[93],"object.":[94],"Desired":[95],"explanation":[96],"properties,":[97],"localisation":[100,152],"focus,":[101],"robustness":[102],"noise,":[105],"or":[106],"stable":[107],"attention":[108],"routing,":[109],"can":[110],"be":[111],"specified":[112],"game-theoretic":[114],"concepts,":[115],"policy":[117],"regularization,":[118],"risk":[119],"aversion,":[120],"action":[123],"sets,":[124],"translate":[126],"directly":[127],"into":[128],"novel":[129],"adaptations":[130],"well-known":[133],"rules.":[135],"On":[136],"ViT-B/16,":[137],"one":[138],"selected":[140],"adaptation":[141],"outperforms":[144],"prior":[145],"across":[149],"all":[150],"considered":[151],"metrics.":[153]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-05-09T00:00:00"}