{"id":"https://openalex.org/W7161697375","doi":"https://doi.org/10.48550/arxiv.2605.18162","title":"Self-Evolving Spatial Reasoning in Vision Language Models via Geometric Logic Consistency","display_name":"Self-Evolving Spatial Reasoning in Vision Language Models via Geometric Logic Consistency","publication_year":2026,"publication_date":"2026-05-18","ids":{"openalex":"https://openalex.org/W7161697375","doi":"https://doi.org/10.48550/arxiv.2605.18162"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.18162","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.18162","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":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.2605.18162","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102863611","display_name":"Junming Liu","orcid":"https://orcid.org/0000-0002-9301-0894"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Junming","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136494179","display_name":"Yuqi Li","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Yuqi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136465658","display_name":"Yifei Sun","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sun, Yifei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025157753","display_name":"Maonan Wang","orcid":"https://orcid.org/0000-0001-5407-0416"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Maonan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136461981","display_name":"Piotr Koniusz","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Koniusz, Piotr","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136488058","display_name":"Yirong Chen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Yirong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5136489258","display_name":"Ding Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Ding","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/T11714","display_name":"Multimodal Machine Learning Applications","score":0.9663000106811523,"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"}},"topics":[{"id":"https://openalex.org/T11714","display_name":"Multimodal Machine Learning Applications","score":0.9663000106811523,"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"}},{"id":"https://openalex.org/T10028","display_name":"Topic Modeling","score":0.003700000001117587,"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/T11307","display_name":"Domain Adaptation and Few-Shot Learning","score":0.0034000000450760126,"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/consistency","display_name":"Consistency (knowledge bases)","score":0.7968999743461609},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.7684999704360962},{"id":"https://openalex.org/keywords/spatial-intelligence","display_name":"Spatial intelligence","score":0.6668000221252441},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5817000269889832},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5271999835968018},{"id":"https://openalex.org/keywords/local-consistency","display_name":"Local consistency","score":0.41530001163482666},{"id":"https://openalex.org/keywords/consistency-model","display_name":"Consistency model","score":0.37070000171661377},{"id":"https://openalex.org/keywords/automated-reasoning","display_name":"Automated reasoning","score":0.328900009393692}],"concepts":[{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.7968999743461609},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.7684999704360962},{"id":"https://openalex.org/C155911833","wikidata":"https://www.wikidata.org/wiki/Q3817354","display_name":"Spatial intelligence","level":2,"score":0.6668000221252441},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6216999888420105},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5907999873161316},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5817000269889832},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5271999835968018},{"id":"https://openalex.org/C137105694","wikidata":"https://www.wikidata.org/wiki/Q3407510","display_name":"Local consistency","level":4,"score":0.41530001163482666},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.37369999289512634},{"id":"https://openalex.org/C37279795","wikidata":"https://www.wikidata.org/wiki/Q2492305","display_name":"Consistency model","level":3,"score":0.37070000171661377},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33399999141693115},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.328900009393692},{"id":"https://openalex.org/C27511587","wikidata":"https://www.wikidata.org/wiki/Q2178623","display_name":"Spatial relation","level":2,"score":0.3154999911785126},{"id":"https://openalex.org/C159032336","wikidata":"https://www.wikidata.org/wiki/Q2488768","display_name":"Non-monotonic logic","level":2,"score":0.30959999561309814},{"id":"https://openalex.org/C175652121","wikidata":"https://www.wikidata.org/wiki/Q4379351","display_name":"Causal consistency","level":5,"score":0.30889999866485596},{"id":"https://openalex.org/C122377713","wikidata":"https://www.wikidata.org/wiki/Q4422799","display_name":"Weak consistency","level":4,"score":0.2989000082015991},{"id":"https://openalex.org/C159620131","wikidata":"https://www.wikidata.org/wiki/Q1938983","display_name":"Spatial analysis","level":2,"score":0.29100000858306885},{"id":"https://openalex.org/C2777508537","wikidata":"https://www.wikidata.org/wiki/Q7936620","display_name":"Visual reasoning","level":2,"score":0.2858000099658966},{"id":"https://openalex.org/C89288958","wikidata":"https://www.wikidata.org/wiki/Q7301504","display_name":"Reasoning system","level":2,"score":0.2793000042438507},{"id":"https://openalex.org/C134752490","wikidata":"https://www.wikidata.org/wiki/Q374182","display_name":"Logical consequence","level":2,"score":0.27790001034736633},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.26829999685287476},{"id":"https://openalex.org/C2775940519","wikidata":"https://www.wikidata.org/wiki/Q17067742","display_name":"Logic model","level":2,"score":0.26809999346733093},{"id":"https://openalex.org/C20693621","wikidata":"https://www.wikidata.org/wiki/Q6667502","display_name":"Logical framework","level":2,"score":0.2669000029563904},{"id":"https://openalex.org/C195324797","wikidata":"https://www.wikidata.org/wiki/Q33742","display_name":"Natural language","level":2,"score":0.2605000138282776}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.18162","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.18162","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":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.2605.18162","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.18162","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Vision-Language":[0],"Models":[1],"(VLMs)":[2],"have":[3],"made":[4],"striking":[5],"progress,":[6],"yet":[7],"their":[8],"spatial":[9,38,139],"reasoning":[10,140],"remains":[11],"fragile:":[12],"models":[13,78],"that":[14,54,105],"answer":[15,28],"an":[16,71],"original":[17,85],"input":[18],"correctly":[19],"can":[20,123],"still":[21],"fail":[22],"under":[23],"paired":[24],"transformations":[25],"with":[26],"predictable":[27],"mappings,":[29],"revealing":[30],"a":[31,51,127],"gap":[32],"between":[33],"instance-level":[34],"correctness":[35],"and":[36,62,86,100,122,138,148],"robust":[37],"reasoning.":[39],"To":[40],"address":[41],"this,":[42],"we":[43],"propose":[44],"Spatial":[45],"Alignment":[46],"via":[47],"Geometric":[48],"Evolution":[49],"(SAGE),":[50],"self-evolving":[52],"framework":[53],"enforces":[55],"logical":[56],"consistency":[57,69],"in":[58],"VLMs":[59],"through":[60],"geometric":[61],"linguistic":[63],"duality":[64,68],"operations.":[65],"SAGE":[66,113],"incorporates":[67],"as":[70,126],"auxiliary":[72],"reward":[73],"within":[74],"GRPO":[75,120],"training,":[76],"encouraging":[77],"to":[79,118,131,151],"produce":[80],"logically":[81],"coherent":[82],"answers":[83],"across":[84],"transformed":[87],"inputs.":[88],"A":[89],"dynamic":[90],"operation":[91],"pool":[92],"continuously":[93],"probes":[94],"for":[95],"inconsistencies,":[96],"promoting":[97],"challenging":[98],"operations":[99],"retiring":[101],"mastered":[102],"ones,":[103],"so":[104],"training":[106],"focuses":[107],"on":[108,136],"the":[109],"most":[110],"informative":[111],"signals.":[112],"is":[114],"model-agnostic,":[115],"data-efficient":[116],"compared":[117],"prior":[119],"methods,":[121],"be":[124],"applied":[125],"lightweight":[128],"post-training":[129],"stage":[130],"any":[132],"existing":[133],"VLM.":[134],"Experiments":[135],"video":[137],"benchmarks":[141],"demonstrate":[142],"consistent":[143],"improvements":[144],"over":[145],"strong":[146],"baselines":[147],"enhanced":[149],"generalization":[150],"unseen":[152],"data.":[153]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-20T00:00:00"}
