{"id":"https://openalex.org/W7163328665","doi":"https://doi.org/10.48550/arxiv.2606.03578","title":"Diffusing in the Right Space: A Systematic Study of Latent Diffusability","display_name":"Diffusing in the Right Space: A Systematic Study of Latent Diffusability","publication_year":2026,"publication_date":"2026-06-02","ids":{"openalex":"https://openalex.org/W7163328665","doi":"https://doi.org/10.48550/arxiv.2606.03578"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.03578","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.03578","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.2606.03578","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101677314","display_name":"Tao Zhong","orcid":"https://orcid.org/0000-0003-1210-9268"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhong, Tianxiong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101211399","display_name":"Xingye Tian","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tian, Xingye","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137781418","display_name":"Xuebo Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Xuebo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137802892","display_name":"Xin Tao","orcid":"https://orcid.org/0000-0002-4246-0131"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tao, Xin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5137764051","display_name":"Pengfei Wan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wan, Pengfei","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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.9049000144004822,"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.9049000144004822,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.014600000344216824,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11448","display_name":"Face recognition and analysis","score":0.014000000432133675,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/fidelity","display_name":"Fidelity","score":0.529699981212616},{"id":"https://openalex.org/keywords/latent-variable","display_name":"Latent variable","score":0.51910001039505},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.49470001459121704},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.461899995803833},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.3986999988555908},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.3912999927997589},{"id":"https://openalex.org/keywords/ambiguity","display_name":"Ambiguity","score":0.3840000033378601},{"id":"https://openalex.org/keywords/latent-heat","display_name":"Latent heat","score":0.38260000944137573},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.3790000081062317}],"concepts":[{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.529699981212616},{"id":"https://openalex.org/C51167844","wikidata":"https://www.wikidata.org/wiki/Q4422623","display_name":"Latent variable","level":2,"score":0.51910001039505},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.49470001459121704},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4869999885559082},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.461899995803833},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.3986999988555908},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3912999927997589},{"id":"https://openalex.org/C2780522230","wikidata":"https://www.wikidata.org/wiki/Q1140419","display_name":"Ambiguity","level":2,"score":0.3840000033378601},{"id":"https://openalex.org/C58024561","wikidata":"https://www.wikidata.org/wiki/Q207721","display_name":"Latent heat","level":2,"score":0.38260000944137573},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.3790000081062317},{"id":"https://openalex.org/C2780440489","wikidata":"https://www.wikidata.org/wiki/Q5227278","display_name":"Data-driven","level":2,"score":0.3677000105381012},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.35690000653266907},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3555000126361847},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.3433000147342682},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.3382999897003174},{"id":"https://openalex.org/C65965080","wikidata":"https://www.wikidata.org/wiki/Q1806885","display_name":"Latent variable model","level":3,"score":0.33059999346733093},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.32190001010894775},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3122999966144562},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.30649998784065247},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30469998717308044},{"id":"https://openalex.org/C94124525","wikidata":"https://www.wikidata.org/wiki/Q912550","display_name":"Categorization","level":2,"score":0.29809999465942383},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.28130000829696655},{"id":"https://openalex.org/C170133592","wikidata":"https://www.wikidata.org/wiki/Q1806883","display_name":"Latent semantic analysis","level":2,"score":0.2759000062942505},{"id":"https://openalex.org/C112933361","wikidata":"https://www.wikidata.org/wiki/Q2845258","display_name":"Probabilistic latent semantic analysis","level":2,"score":0.27469998598098755},{"id":"https://openalex.org/C156216132","wikidata":"https://www.wikidata.org/wiki/Q17099642","display_name":"Local independence","level":4,"score":0.262800008058548},{"id":"https://openalex.org/C167966045","wikidata":"https://www.wikidata.org/wiki/Q5532625","display_name":"Generative model","level":3,"score":0.2542000114917755},{"id":"https://openalex.org/C23224414","wikidata":"https://www.wikidata.org/wiki/Q176769","display_name":"Hidden Markov model","level":2,"score":0.25189998745918274}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.03578","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.03578","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.2606.03578","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.03578","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Latent":[0],"diffusion":[1,141],"models":[2],"leverage":[3],"visual":[4],"tokenizers":[5,126],"to":[6],"compress":[7],"images":[8],"into":[9,27],"latent":[10,33,55,118,133,147],"spaces":[11],"for":[12,53],"efficient":[13],"generative":[14],"modeling.":[15],"However,":[16],"better":[17,28],"reconstruction":[18],"quality":[19,94,154],"of":[20,81,91,117,125,173,187,192],"a":[21,78,114,122,171],"tokenizer":[22],"does":[23],"not":[24,38],"necessarily":[25],"translate":[26],"generation":[29,93,153,193],"quality,":[30],"suggesting":[31],"that":[32,149,183],"representations":[34],"should":[35],"be":[36],"evaluated":[37],"only":[39],"by":[40,44,120,177],"fidelity":[41],"but":[42],"also":[43],"their":[45],"diffusability.":[46],"Recent":[47],"studies":[48],"have":[49],"proposed":[50],"diverse":[51,128],"explanations":[52],"diffusion-friendly":[54],"spaces,":[56],"including":[57],"semantic":[58],"separability,":[59],"affine":[60],"equivariance,":[61],"distribution":[62],"uniformity,":[63],"spatial":[64],"structure,":[65],"spectral":[66],"smoothness,":[67],"and":[68,95,132,135,155],"manifold":[69],"continuity.":[70],"Yet":[71],"these":[72],"properties":[73,148],"are":[74,88,107],"often":[75],"validated":[76],"on":[77],"limited":[79],"set":[80],"tokenizers,":[82],"leaving":[83],"it":[84],"unclear":[85],"which":[86,105],"factors":[87],"most":[89,189],"predictive":[90],"downstream":[92,140],"whether":[96],"such":[97],"conclusions":[98],"hold":[99],"beyond":[100],"the":[101,188],"specific":[102],"settings":[103],"in":[104],"they":[106],"introduced.":[108],"In":[109],"this":[110],"work,":[111],"we":[112,165],"conduct":[113],"systematic":[115],"study":[116],"diffusability":[119],"training":[121],"large":[123],"collection":[124],"with":[127,138,152],"regularization":[129],"strategies,":[130],"architectures,":[131],"configurations,":[134],"evaluating":[136],"them":[137],"multiple":[139],"backbones.":[142],"Our":[143],"analysis":[144],"identifies":[145],"several":[146],"consistently":[150],"correlate":[151],"exhibit":[156],"strong":[157],"generalization":[158],"across":[159],"experimental":[160],"settings.":[161],"Beyond":[162],"existing":[163],"metrics,":[164],"introduce":[166],"Velocity":[167],"Irreducible":[168],"Variance":[169],"(VIV),":[170],"measure":[172],"velocity":[174],"ambiguity":[175],"induced":[176],"trajectory":[178],"crossings.":[179],"Extensive":[180],"experiments":[181],"show":[182],"VIV":[184],"is":[185],"one":[186],"stable":[190],"predictors":[191],"quality.":[194]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-06-04T00:00:00"}
