{"id":"https://openalex.org/W7130331446","doi":"https://doi.org/10.48550/arxiv.2602.15293","title":"The Information Geometry of Softmax: Probing and Steering","display_name":"The Information Geometry of Softmax: Probing and Steering","publication_year":2026,"publication_date":"2026-02-17","ids":{"openalex":"https://openalex.org/W7130331446","doi":"https://doi.org/10.48550/arxiv.2602.15293"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2602.15293","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.15293","pdf_url":null,"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":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2602.15293","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5126316202","display_name":"Kiho Park","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Park, Kiho","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126353091","display_name":"Todd Nief","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nief, Todd","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059859864","display_name":"Yo Joong Choe","orcid":"https://orcid.org/0000-0002-0614-9477"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Choe, Yo Joong","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5077406767","display_name":"Victor Veitch","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Veitch, Victor","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5126316202"],"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.10080000013113022,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.10080000013113022,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12026","display_name":"Explainable Artificial Intelligence (XAI)","score":0.09889999777078629,"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":0.05959999933838844,"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/representation","display_name":"Representation (politics)","score":0.6851999759674072},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.6707000136375427},{"id":"https://openalex.org/keywords/encode","display_name":"ENCODE","score":0.4788999855518341},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.45879998803138733},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.45320001244544983},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.41200000047683716},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.39590001106262207},{"id":"https://openalex.org/keywords/natural","display_name":"Natural (archaeology)","score":0.3806000053882599}],"concepts":[{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6851999759674072},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.6707000136375427},{"id":"https://openalex.org/C66746571","wikidata":"https://www.wikidata.org/wiki/Q1134833","display_name":"ENCODE","level":3,"score":0.4788999855518341},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.45879998803138733},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.45320001244544983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4415999948978424},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.41200000047683716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4041000008583069},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.39590001106262207},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.38580000400543213},{"id":"https://openalex.org/C2776608160","wikidata":"https://www.wikidata.org/wiki/Q4785462","display_name":"Natural (archaeology)","level":2,"score":0.3806000053882599},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3598000109195709},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3377000093460083},{"id":"https://openalex.org/C2779954242","wikidata":"https://www.wikidata.org/wiki/Q6031227","display_name":"Information structure","level":2,"score":0.3273000121116638},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.30480000376701355},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.30230000615119934},{"id":"https://openalex.org/C9136319","wikidata":"https://www.wikidata.org/wiki/Q362640","display_name":"Covariant transformation","level":2,"score":0.30160000920295715},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.29750001430511475},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.27140000462532043},{"id":"https://openalex.org/C109546454","wikidata":"https://www.wikidata.org/wiki/Q3798604","display_name":"Information geometry","level":4,"score":0.26809999346733093},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2676999866962433},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.2619999945163727}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2602.15293","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.15293","pdf_url":null,"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":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2602.15293","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.15293","pdf_url":null,"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":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1,25],"concerns":[2],"the":[3,13,28,37,48,64,74,83,116,132],"question":[4],"of":[5,16,23,31,52,76,136],"how":[6],"AI":[7],"systems":[8],"encode":[9],"semantic":[10,80],"structure":[11,15],"into":[12],"geometric":[14],"their":[17],"representation":[18,33,85],"spaces.":[19],"The":[20],"motivating":[21],"observation":[22],"this":[24,59],"is":[26,67,72],"that":[27,54,63,111,128],"natural":[29,65],"geometry":[30,66,78],"these":[32],"spaces":[34],"should":[35],"reflect":[36],"way":[38],"models":[39],"use":[40],"representations":[41,53,100],"to":[42,101,122],"produce":[43],"behavior.":[44],"We":[45,109],"focus":[46,71],"on":[47,73,79],"important":[49],"special":[50],"case":[51],"define":[55],"softmax":[56],"distributions.":[57],"In":[58],"case,":[60],"we":[61,91,126],"argue":[62],"information":[68,77],"geometry.":[69],"Our":[70],"role":[75],"encoding":[81],"and":[82,134],"linear":[84,107],"hypothesis.":[86],"As":[87],"an":[88],"illustrative":[89],"application,":[90],"develop":[92],"\"dual":[93],"steering\",":[94],"a":[95,103],"method":[96],"for":[97],"robustly":[98],"steering":[99,113,130],"exhibit":[102],"particular":[104],"concept":[105,118,137],"using":[106],"probes.":[108],"prove":[110],"dual":[112,129],"optimally":[114],"modifies":[115],"target":[117],"while":[119],"minimizing":[120],"changes":[121],"off-target":[123],"concepts.":[124],"Empirically,":[125],"find":[127],"enhances":[131],"controllability":[133],"stability":[135],"manipulation.":[138]},"counts_by_year":[],"updated_date":"2026-02-19T06:31:58.851227","created_date":"2026-02-19T00:00:00"}
