{"id":"https://openalex.org/W4407759410","doi":"https://doi.org/10.48550/arxiv.2502.12456","title":"Not-So-Optimal Transport Flows for 3D Point Cloud Generation","display_name":"Not-So-Optimal Transport Flows for 3D Point Cloud Generation","publication_year":2025,"publication_date":"2025-02-18","ids":{"openalex":"https://openalex.org/W4407759410","doi":"https://doi.org/10.48550/arxiv.2502.12456"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2502.12456","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2502.12456","pdf_url":"https://arxiv.org/pdf/2502.12456","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2502.12456","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028964136","display_name":"Ka-Hei Hui","orcid":"https://orcid.org/0000-0002-9786-2648"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hui, Ka-Hei","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100362891","display_name":"Chao Liu","orcid":"https://orcid.org/0000-0001-7363-1987"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Chao","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086428470","display_name":"Xiaohui Zeng","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zeng, Xiaohui","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054382056","display_name":"Chi\u2010Wing Fu","orcid":"https://orcid.org/0000-0002-5238-593X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fu, Chi-Wing","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5038984764","display_name":"Arash Vahdat","orcid":"https://orcid.org/0009-0005-9476-1306"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vahdat, Arash","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5028964136"],"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.9904000163078308,"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/T11099","display_name":"Autonomous Vehicle Technology and Safety","score":0.9642000198364258,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/point-cloud","display_name":"Point cloud","score":0.6020956039428711},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5062503218650818},{"id":"https://openalex.org/keywords/cloud-computing","display_name":"Cloud computing","score":0.4990413188934326},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42936137318611145},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.3607969284057617},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.25811249017715454},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22987589240074158},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08655703067779541},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.08124285936355591}],"concepts":[{"id":"https://openalex.org/C131979681","wikidata":"https://www.wikidata.org/wiki/Q1899648","display_name":"Point cloud","level":2,"score":0.6020956039428711},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5062503218650818},{"id":"https://openalex.org/C79974875","wikidata":"https://www.wikidata.org/wiki/Q483639","display_name":"Cloud computing","level":2,"score":0.4990413188934326},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42936137318611145},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.3607969284057617},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.25811249017715454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22987589240074158},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08655703067779541},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.08124285936355591}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2502.12456","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2502.12456","pdf_url":"https://arxiv.org/pdf/2502.12456","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2502.12456","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2502.12456","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":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2502.12456","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2502.12456","pdf_url":"https://arxiv.org/pdf/2502.12456","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4244478748","https://openalex.org/W3150465815","https://openalex.org/W4223488648","https://openalex.org/W2134969820","https://openalex.org/W2251605416","https://openalex.org/W1997222214","https://openalex.org/W2560439919"],"abstract_inverted_index":{"Learning":[0],"generative":[1,15,61],"models":[2,62,72,113,155],"of":[3,9,18,22,33,102,128,180],"3D":[4,14],"point":[5,23,37,77],"clouds":[6,24],"is":[7,25,86],"one":[8],"the":[10,19,31,42,51,94,100,103,152,187],"fundamental":[11],"problems":[12],"in":[13,35],"learning.":[16],"One":[17],"key":[20],"properties":[21],"their":[26],"permutation":[27,59],"invariance,":[28],"i.e.,":[29],"changing":[30],"order":[32],"points":[34],"a":[36,139,177],"cloud":[38],"does":[39],"not":[40],"change":[41],"shape":[43,184],"they":[44],"represent.":[45],"In":[46,159],"this":[47],"paper,":[48],"we":[49,68,80,108,135,164],"analyze":[50],"recently":[52],"proposed":[53,168],"equivariant":[54],"OT":[55,84,118,122,129,146],"flows":[56,85],"that":[57,70,114,166],"learn":[58],"invariant":[60],"for":[63,131],"point-based":[64],"molecular":[65],"data":[66],"and":[67,147,173,183],"show":[69,165],"these":[71],"scale":[73],"poorly":[74],"on":[75,176,186],"large":[76],"clouds.":[78],"Also,":[79],"observe":[81],"learning":[82],"(equivariant)":[83],"generally":[87],"challenging":[88],"since":[89],"straightening":[90],"flow":[91,96,112,154],"trajectories":[92],"makes":[93],"learned":[95],"model":[97,169],"complex":[98],"at":[99],"beginning":[101],"trajectory.":[104],"To":[105],"remedy":[106],"these,":[107],"propose":[109],"not-so-optimal":[110],"transport":[111],"obtain":[115],"an":[116,120,125,160],"approximate":[117,145],"by":[119,142],"offline":[121],"precomputation,":[123],"enabling":[124],"efficient":[126],"construction":[127],"pairs":[130],"training.":[132],"During":[133],"training,":[134],"can":[136],"additionally":[137],"construct":[138],"hybrid":[140],"coupling":[141,149],"combining":[143],"our":[144,167],"independent":[148],"to":[150,157],"make":[151],"target":[153],"easier":[156],"learn.":[158],"extensive":[161],"empirical":[162],"study,":[163],"outperforms":[170],"prior":[171],"diffusion-":[172],"flow-based":[174],"approaches":[175],"wide":[178],"range":[179],"unconditional":[181],"generation":[182],"completion":[185],"ShapeNet":[188],"benchmark.":[189]},"counts_by_year":[],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2025-10-10T00:00:00"}
