{"id":"https://openalex.org/W4391640582","doi":"https://doi.org/10.1109/tkde.2024.3363711","title":"Modeling Spatio-Temporal Dynamical Systems With Neural Discrete Learning and Levels-of-Experts","display_name":"Modeling Spatio-Temporal Dynamical Systems With Neural Discrete Learning and Levels-of-Experts","publication_year":2024,"publication_date":"2024-02-08","ids":{"openalex":"https://openalex.org/W4391640582","doi":"https://doi.org/10.1109/tkde.2024.3363711"},"language":"en","primary_location":{"id":"doi:10.1109/tkde.2024.3363711","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2024.3363711","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Knowledge and Data Engineering","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100366705","display_name":"Kun Wang","orcid":"https://orcid.org/0000-0003-0602-169X"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kun Wang","raw_affiliation_strings":["University of Science and Technology of China, Hefei, Anhui, China"],"raw_orcid":"https://orcid.org/0000-0003-0602-169X","affiliations":[{"raw_affiliation_string":"University of Science and Technology of China, Hefei, Anhui, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100634983","display_name":"Hao Wu","orcid":"https://orcid.org/0000-0002-0795-3790"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Wu","raw_affiliation_strings":["University of Science and Technology of China, Hefei, Anhui, China"],"raw_orcid":"https://orcid.org/0000-0002-0795-3790","affiliations":[{"raw_affiliation_string":"University of Science and Technology of China, Hefei, Anhui, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114973392","display_name":"Guibin Zhang","orcid":"https://orcid.org/0009-0001-6405-3289"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]},{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["CN","HK"],"is_corresponding":false,"raw_author_name":"Guibin Zhang","raw_affiliation_strings":["Tongji University, Shanghai, China","INTR Thrust & DSA Thrust, The Hong Kong University of Science and Technology (Guangzhou), China"],"raw_orcid":"https://orcid.org/0009-0001-6405-3289","affiliations":[{"raw_affiliation_string":"Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"INTR Thrust & DSA Thrust, The Hong Kong University of Science and Technology (Guangzhou), China","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067289821","display_name":"Junfeng Fang","orcid":"https://orcid.org/0000-0002-3317-2103"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Junfeng Fang","raw_affiliation_strings":["University of Science and Technology of China, Hefei, Anhui, China"],"raw_orcid":"https://orcid.org/0000-0002-3317-2103","affiliations":[{"raw_affiliation_string":"University of Science and Technology of China, Hefei, Anhui, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018828723","display_name":"Yuxuan Liang","orcid":"https://orcid.org/0000-0003-2817-7337"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Yuxuan Liang","raw_affiliation_strings":["INTR Thrust & DSA Thrust, The Hong Kong University of Science and Technology, Guangzhou, Guangdong, China"],"raw_orcid":"https://orcid.org/0000-0003-2817-7337","affiliations":[{"raw_affiliation_string":"INTR Thrust & DSA Thrust, The Hong Kong University of Science and Technology, Guangzhou, Guangdong, China","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100370856","display_name":"Yuankai Wu","orcid":"https://orcid.org/0000-0003-4435-9413"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuankai Wu","raw_affiliation_strings":["College of Computer Science, Sichuan University, Chengdu, Sichuan, China"],"raw_orcid":"https://orcid.org/0000-0003-4435-9413","affiliations":[{"raw_affiliation_string":"College of Computer Science, Sichuan University, Chengdu, Sichuan, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058575315","display_name":"Roger Zimmermann","orcid":"https://orcid.org/0000-0002-7410-2590"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Roger Zimmermann","raw_affiliation_strings":["University of Singapore, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-7410-2590","affiliations":[{"raw_affiliation_string":"University of Singapore, Singapore","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101705851","display_name":"Yang Wang","orcid":"https://orcid.org/0000-0002-6079-7053"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Wang","raw_affiliation_strings":["University of Science and Technology of China, Hefei, Anhui, China"],"raw_orcid":"https://orcid.org/0000-0002-6079-7053","affiliations":[{"raw_affiliation_string":"University of Science and Technology of China, Hefei, Anhui, China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5233,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.8893595,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"36","issue":"8","first_page":"4050","last_page":"4062"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10531","display_name":"Advanced Vision and Imaging","score":0.9958000183105469,"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/T10775","display_name":"Generative Adversarial Networks and Image Synthesis","score":0.9753000140190125,"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/interpretability","display_name":"Interpretability","score":0.8511582612991333},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7883111238479614},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.6737400889396667},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5879788994789124},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.5383359789848328},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5278805494308472},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.497684508562088},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4867810904979706},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4617016911506653},{"id":"https://openalex.org/keywords/component","display_name":"Component (thermodynamics)","score":0.4101523756980896},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3611600995063782},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3246151804924011},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18395569920539856}],"concepts":[{"id":"https://openalex.org/C2781067378","wikidata":"https://www.wikidata.org/wiki/Q17027399","display_name":"Interpretability","level":2,"score":0.8511582612991333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7883111238479614},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6737400889396667},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5879788994789124},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.5383359789848328},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5278805494308472},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.497684508562088},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4867810904979706},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4617016911506653},{"id":"https://openalex.org/C168167062","wikidata":"https://www.wikidata.org/wiki/Q1117970","display_name":"Component (thermodynamics)","level":2,"score":0.4101523756980896},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3611600995063782},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3246151804924011},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18395569920539856},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tkde.2024.3363711","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tkde.2024.3363711","pdf_url":null,"source":{"id":"https://openalex.org/S30698027","display_name":"IEEE Transactions on Knowledge and Data Engineering","issn_l":"1041-4347","issn":["1041-4347","1558-2191","2326-3865"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320439","host_organization_name":"IEEE Computer Society","host_organization_lineage":["https://openalex.org/P4310320439","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Computer Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Knowledge and Data Engineering","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-138060","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-138060","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"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":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1262889163","display_name":null,"funder_award_id":"62072427","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8646717170","display_name":null,"funder_award_id":"12227901","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320325599","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":156,"referenced_works":["https://openalex.org/W607590176","https://openalex.org/W764651262","https://openalex.org/W1485009520","https://openalex.org/W1517096670","https://openalex.org/W1558736232","https://openalex.org/W1578285471","https://openalex.org/W1578985305","https://openalex.org/W1867429401","https://openalex.org/W1983906712","https://openalex.org/W1987475960","https://openalex.org/W1993074287","https://openalex.org/W2018259456","https://openalex.org/W2040928359","https://openalex.org/W2044520935","https://openalex.org/W2062183687","https://openalex.org/W2067696760","https://openalex.org/W2082163389","https://openalex.org/W2104612958","https://openalex.org/W2104724476","https://openalex.org/W2118688707","https://openalex.org/W2126642381","https://openalex.org/W2131747574","https://openalex.org/W2131908956","https://openalex.org/W2133974650","https://openalex.org/W2147360693","https://openalex.org/W2147584847","https://openalex.org/W2194775991","https://openalex.org/W2203837178","https://openalex.org/W2255466643","https://openalex.org/W2269094482","https://openalex.org/W2560474170","https://openalex.org/W2586258431","https://openalex.org/W2618530766","https://openalex.org/W2749028154","https://openalex.org/W2752796333","https://openalex.org/W2765811365","https://openalex.org/W2768975186","https://openalex.org/W2769257693","https://openalex.org/W2770604561","https://openalex.org/W2778033595","https://openalex.org/W2803629276","https://openalex.org/W2808493349","https://openalex.org/W2899283552","https://openalex.org/W2918222882","https://openalex.org/W2921532413","https://openalex.org/W2935711438","https://openalex.org/W2951736998","https://openalex.org/W2963019788","https://openalex.org/W2963092440","https://openalex.org/W2963305757","https://openalex.org/W2963411289","https://openalex.org/W2963799213","https://openalex.org/W2964915865","https://openalex.org/W2967033144","https://openalex.org/W2970427641","https://openalex.org/W2971074500","https://openalex.org/W2979786244","https://openalex.org/W2995375411","https://openalex.org/W2995511918","https://openalex.org/W2996680032","https://openalex.org/W3034426027","https://openalex.org/W3035664806","https://openalex.org/W3041682155","https://openalex.org/W3080930191","https://openalex.org/W3088611441","https://openalex.org/W3092923133","https://openalex.org/W3094502228","https://openalex.org/W3096216486","https://openalex.org/W3102272367","https://openalex.org/W3104861085","https://openalex.org/W3109908659","https://openalex.org/W3133294546","https://openalex.org/W3133405188","https://openalex.org/W3138340468","https://openalex.org/W3147597595","https://openalex.org/W3152733922","https://openalex.org/W3157753091","https://openalex.org/W3159218436","https://openalex.org/W3159481202","https://openalex.org/W3163993681","https://openalex.org/W3165462110","https://openalex.org/W3166762869","https://openalex.org/W3171345413","https://openalex.org/W3176723190","https://openalex.org/W3184447318","https://openalex.org/W3184636400","https://openalex.org/W3193281533","https://openalex.org/W3208915345","https://openalex.org/W3212171847","https://openalex.org/W3214281017","https://openalex.org/W4225619856","https://openalex.org/W4226053834","https://openalex.org/W4236810859","https://openalex.org/W4245586707","https://openalex.org/W4249022109","https://openalex.org/W4256148958","https://openalex.org/W4280513387","https://openalex.org/W4285111042","https://openalex.org/W4285483867","https://openalex.org/W4287512175","https://openalex.org/W4288347171","https://openalex.org/W4289677812","https://openalex.org/W4292874936","https://openalex.org/W4293192773","https://openalex.org/W4294306266","https://openalex.org/W4295289379","https://openalex.org/W4297772798","https://openalex.org/W4297941216","https://openalex.org/W4298857966","https://openalex.org/W4302602374","https://openalex.org/W4310301864","https://openalex.org/W4313009682","https://openalex.org/W4385678435","https://openalex.org/W4386295584","https://openalex.org/W4387491626","https://openalex.org/W4403791494","https://openalex.org/W6628877408","https://openalex.org/W6634221342","https://openalex.org/W6637967152","https://openalex.org/W6677326919","https://openalex.org/W6677477928","https://openalex.org/W6691096134","https://openalex.org/W6705521900","https://openalex.org/W6735992252","https://openalex.org/W6745829810","https://openalex.org/W6746445604","https://openalex.org/W6746530577","https://openalex.org/W6747085055","https://openalex.org/W6751350349","https://openalex.org/W6757613341","https://openalex.org/W6757925885","https://openalex.org/W6759977823","https://openalex.org/W6762931180","https://openalex.org/W6763239785","https://openalex.org/W6764350350","https://openalex.org/W6766861245","https://openalex.org/W6771200186","https://openalex.org/W6771924513","https://openalex.org/W6771935200","https://openalex.org/W6779914669","https://openalex.org/W6780322082","https://openalex.org/W6783741718","https://openalex.org/W6784227514","https://openalex.org/W6784333009","https://openalex.org/W6785723781","https://openalex.org/W6790720088","https://openalex.org/W6793801364","https://openalex.org/W6795000047","https://openalex.org/W6796386619","https://openalex.org/W6803548522","https://openalex.org/W6810641295","https://openalex.org/W6838444500","https://openalex.org/W6839401937","https://openalex.org/W6850822533","https://openalex.org/W6852542248","https://openalex.org/W6929334658"],"related_works":["https://openalex.org/W2905433371","https://openalex.org/W2888392564","https://openalex.org/W4310278675","https://openalex.org/W4388422664","https://openalex.org/W4390569940","https://openalex.org/W4361193272","https://openalex.org/W2963326959","https://openalex.org/W4388685194","https://openalex.org/W4312407344","https://openalex.org/W1604988569"],"abstract_inverted_index":{"In":[0],"this":[1,84,86,163],"paper,":[2],"we":[3,117,146],"address":[4],"the":[5,13,16,36,42,61,68,89,102,138,142,155,190,199],"issue":[6],"of":[7,15,24,41,70,105,141],"modeling":[8],"and":[9,39,67,185],"estimating":[10],"changes":[11],"in":[12,54,78,109,159],"state":[14],"spatio-temporal":[17],"dynamical":[18],"systems":[19,32],"based":[20],"on":[21,35],"a":[22,79,110,120,173],"sequence":[23],"observations":[25],"like":[26],"video":[27],"frames.":[28],"Traditional":[29],"numerical":[30],"simulation":[31],"depend":[33],"largely":[34],"initial":[37],"settings":[38],"correctness":[40],"constructed":[43],"partial":[44],"differential":[45],"equations":[46],"(PDEs).":[47],"Despite":[48],"recent":[49],"efforts":[50],"yielding":[51],"significant":[52],"success":[53],"discovering":[55],"data-driven":[56,111],"PDEs":[57],"with":[58,198],"neural":[59,150],"networks,":[60],"limitations":[62],"posed":[63],"by":[64,130],"singular":[65],"scenarios":[66],"absence":[69],"local":[71,115,125],"insights":[72],"prevent":[73],"them":[74],"from":[75],"performing":[76],"effectively":[77],"broader":[80],"real-world":[81],"context.":[82],"To":[83,113],"end,":[85],"paper":[87],"propose":[88],"universal":[90],"expert":[91],"module":[92],"\u2013":[93],"that":[94,189],"is,":[95],"optical":[96],"flow":[97],"estimation":[98],"component,":[99],"to":[100,153,187],"capture":[101],"evolution":[103],"laws":[104],"general":[106],"physical":[107,122],"processes":[108],"fashion.":[112],"enhance":[114],"insight,":[116],"painstakingly":[118],"design":[119],"finer-grained":[121],"pipeline,":[123],"since":[124],"characteristics":[126],"may":[127,136],"be":[128],"influenced":[129],"various":[131],"internal":[132],"contextual":[133],"information,":[134],"which":[135,168],"contradict":[137],"macroscopic":[139],"properties":[140],"whole":[143],"system.":[144],"Further,":[145],"harness":[147],"currently":[148],"popular":[149],"discrete":[151,178],"learning":[152],"unveil":[154],"underlying":[156],"important":[157],"features":[158],"its":[160],"latent":[161],"space,":[162],"process":[164],"better":[165],"injects":[166],"interpretability,":[167],"can":[169],"help":[170],"us":[171],"obtain":[172],"powerful":[174],"prior":[175],"over":[176],"these":[177],"random":[179],"variables.":[180],"We":[181],"conduct":[182],"extensive":[183],"experiments":[184],"ablations":[186],"demonstrate":[188],"proposed":[191],"framework":[192],"achieves":[193],"large":[194],"performance":[195],"margins,":[196],"compared":[197],"existing":[200],"SOTA":[201],"baselines.":[202]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":4}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}