{"id":"https://openalex.org/W7163317217","doi":"https://doi.org/10.1016/j.envsoft.2026.107064","title":"Generative diffusion model for environmental diffusion problems","display_name":"Generative diffusion model for environmental diffusion problems","publication_year":2026,"publication_date":"2026-06-03","ids":{"openalex":"https://openalex.org/W7163317217","doi":"https://doi.org/10.1016/j.envsoft.2026.107064"},"language":"en","primary_location":{"id":"doi:10.1016/j.envsoft.2026.107064","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.envsoft.2026.107064","pdf_url":null,"source":{"id":"https://openalex.org/S113611870","display_name":"Environmental Modelling & Software","issn_l":"1364-8152","issn":["1364-8152","1873-6726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Environmental Modelling & Software","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/A5103353028","display_name":"Y Yiannian He","orcid":"https://orcid.org/0000-0003-4790-3023"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuxun He","raw_affiliation_strings":["Shanghai Environmental Protection Key Lab of Environmental Big Data and Intelligent Decision-making, School of Environmental Science and Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Environmental Protection Key Lab of Environmental Big Data and Intelligent Decision-making, School of Environmental Science and Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137785568","display_name":"Bo Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Jiang","raw_affiliation_strings":["John Hopcroft Center for Computer Science, School of Computer Science, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"John Hopcroft Center for Computer Science, School of Computer Science, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137807349","display_name":"Yun Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]},{"id":"https://openalex.org/I4210122261","display_name":"Swiss Data Science Center","ror":"https://ror.org/02hdt9m26","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I2799323385","https://openalex.org/I35440088","https://openalex.org/I4210122261","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Yun Cheng","raw_affiliation_strings":["Swiss Data Science Center, ETH Zurich, Zurich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Swiss Data Science Center, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I4210122261","https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091688411","display_name":"Xiangyu Chi","orcid":null},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangyu Chi","raw_affiliation_strings":["Shanghai Environmental Protection Key Lab of Environmental Big Data and Intelligent Decision-making, School of Environmental Science and Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Environmental Protection Key Lab of Environmental Big Data and Intelligent Decision-making, School of Environmental Science and Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004011201","display_name":"Meicheng Liao","orcid":null},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meicheng Liao","raw_affiliation_strings":["Shanghai Environmental Protection Key Lab of Environmental Big Data and Intelligent Decision-making, School of Environmental Science and Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Environmental Protection Key Lab of Environmental Big Data and Intelligent Decision-making, School of Environmental Science and Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5137803003","display_name":"Chenliang Tao","orcid":null},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenliang Tao","raw_affiliation_strings":["Department of Environmental Science and Engineering, Fudan University, Shanghai 200438, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Environmental Science and Engineering, Fudan University, Shanghai 200438, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043497299","display_name":"P H Li","orcid":null},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peng Li","raw_affiliation_strings":["Shanghai Environmental Protection Key Lab of Environmental Big Data and Intelligent Decision-making, School of Environmental Science and Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Environmental Protection Key Lab of Environmental Big Data and Intelligent Decision-making, School of Environmental Science and Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126114784","display_name":"Hao Qiu","orcid":null},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Qiu","raw_affiliation_strings":["Shanghai Environmental Protection Key Lab of Environmental Big Data and Intelligent Decision-making, School of Environmental Science and Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shanghai Environmental Protection Key Lab of Environmental Big Data and Intelligent Decision-making, School of Environmental Science and Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5137276607","display_name":"Z Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhen Cheng","raw_affiliation_strings":["Shanghai Environmental Protection Key Lab of Environmental Big Data and Intelligent Decision-making, School of Environmental Science and Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-6146-7654","affiliations":[{"raw_affiliation_string":"Shanghai Environmental Protection Key Lab of Environmental Big Data and Intelligent Decision-making, School of Environmental Science and Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":9,"corresponding_author_ids":["https://openalex.org/A5137276607","https://openalex.org/A5137807349"],"corresponding_institution_ids":["https://openalex.org/I183067930","https://openalex.org/I35440088","https://openalex.org/I4210122261"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.91521332,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"204","issue":null,"first_page":"107064","last_page":"107064"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.13670000433921814,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.13670000433921814,"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/T13377","display_name":"Ecosystem dynamics and resilience","score":0.09560000151395798,"subfield":{"id":"https://openalex.org/subfields/2306","display_name":"Global and Planetary Change"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10894","display_name":"Groundwater flow and contamination studies","score":0.0794999971985817,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/generative-grammar","display_name":"Generative grammar","score":0.7174999713897705},{"id":"https://openalex.org/keywords/diffusion","display_name":"Diffusion","score":0.5457000136375427},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.51419997215271},{"id":"https://openalex.org/keywords/generative-model","display_name":"Generative model","score":0.4934999942779541},{"id":"https://openalex.org/keywords/diffusion-map","display_name":"Diffusion map","score":0.3718999922275543},{"id":"https://openalex.org/keywords/data-assimilation","display_name":"Data assimilation","score":0.32089999318122864},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.31610000133514404},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.31610000133514404}],"concepts":[{"id":"https://openalex.org/C39890363","wikidata":"https://www.wikidata.org/wiki/Q36108","display_name":"Generative grammar","level":2,"score":0.7174999713897705},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5457000136375427},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5295000076293945},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.51419997215271},{"id":"https://openalex.org/C167966045","wikidata":"https://www.wikidata.org/wiki/Q5532625","display_name":"Generative model","level":3,"score":0.4934999942779541},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4049000144004822},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3939000070095062},{"id":"https://openalex.org/C55128770","wikidata":"https://www.wikidata.org/wiki/Q5275440","display_name":"Diffusion map","level":4,"score":0.3718999922275543},{"id":"https://openalex.org/C24552861","wikidata":"https://www.wikidata.org/wiki/Q2670177","display_name":"Data assimilation","level":2,"score":0.32089999318122864},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.31610000133514404},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.31610000133514404},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.31369999051094055},{"id":"https://openalex.org/C32230216","wikidata":"https://www.wikidata.org/wiki/Q7882499","display_name":"Uncertainty quantification","level":2,"score":0.3107999861240387},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29829999804496765},{"id":"https://openalex.org/C184408114","wikidata":"https://www.wikidata.org/wiki/Q1502022","display_name":"Generative Design","level":3,"score":0.296099990606308},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.2930000126361847},{"id":"https://openalex.org/C2776356880","wikidata":"https://www.wikidata.org/wiki/Q5381206","display_name":"Environmental data","level":2,"score":0.29170000553131104},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.272599995136261},{"id":"https://openalex.org/C55037315","wikidata":"https://www.wikidata.org/wiki/Q5421151","display_name":"Experimental data","level":2,"score":0.27059999108314514},{"id":"https://openalex.org/C86781634","wikidata":"https://www.wikidata.org/wiki/Q2478325","display_name":"Environmental noise","level":3,"score":0.2685999870300293},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.26499998569488525},{"id":"https://openalex.org/C13606891","wikidata":"https://www.wikidata.org/wiki/Q2623243","display_name":"Conceptual model","level":2,"score":0.2596000134944916},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.25940001010894775},{"id":"https://openalex.org/C164602753","wikidata":"https://www.wikidata.org/wiki/Q567544","display_name":"Anomalous diffusion","level":3,"score":0.25609999895095825},{"id":"https://openalex.org/C539667460","wikidata":"https://www.wikidata.org/wiki/Q2414942","display_name":"Management science","level":1,"score":0.25270000100135803}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.envsoft.2026.107064","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.envsoft.2026.107064","pdf_url":null,"source":{"id":"https://openalex.org/S113611870","display_name":"Environmental Modelling & Software","issn_l":"1364-8152","issn":["1364-8152","1873-6726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Environmental Modelling & Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.41300642490386963,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336026","display_name":"National Key Research and Development Program of China Stem Cell and Translational Research","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":74,"referenced_works":["https://openalex.org/W1597114888","https://openalex.org/W1722532282","https://openalex.org/W2086205794","https://openalex.org/W2099215948","https://openalex.org/W2789559796","https://openalex.org/W2900933286","https://openalex.org/W2963816767","https://openalex.org/W3049176154","https://openalex.org/W3096834012","https://openalex.org/W3107634555","https://openalex.org/W3118392862","https://openalex.org/W3185625498","https://openalex.org/W3189180619","https://openalex.org/W4206098220","https://openalex.org/W4224233939","https://openalex.org/W4283077780","https://openalex.org/W4291001845","https://openalex.org/W4297988694","https://openalex.org/W4312933868","https://openalex.org/W4322011423","https://openalex.org/W4353067182","https://openalex.org/W4376638519","https://openalex.org/W4378602947","https://openalex.org/W4378802379","https://openalex.org/W4387142750","https://openalex.org/W4388798405","https://openalex.org/W4389850537","https://openalex.org/W4390100390","https://openalex.org/W4390343450","https://openalex.org/W4390405091","https://openalex.org/W4390744472","https://openalex.org/W4390768602","https://openalex.org/W4391288641","https://openalex.org/W4391735281","https://openalex.org/W4391740763","https://openalex.org/W4392876584","https://openalex.org/W4393316799","https://openalex.org/W4394867632","https://openalex.org/W4395675280","https://openalex.org/W4399187686","https://openalex.org/W4399286910","https://openalex.org/W4399430085","https://openalex.org/W4399770198","https://openalex.org/W4399804170","https://openalex.org/W4400265511","https://openalex.org/W4400279044","https://openalex.org/W4401591000","https://openalex.org/W4401895246","https://openalex.org/W4402486620","https://openalex.org/W4402606124","https://openalex.org/W4402917205","https://openalex.org/W4403411498","https://openalex.org/W4403461570","https://openalex.org/W4403594473","https://openalex.org/W4404024232","https://openalex.org/W4404082498","https://openalex.org/W4404248675","https://openalex.org/W4404565983","https://openalex.org/W4405031167","https://openalex.org/W4406820457","https://openalex.org/W4407030821","https://openalex.org/W4407884014","https://openalex.org/W4407903823","https://openalex.org/W4408248185","https://openalex.org/W4408311167","https://openalex.org/W4409071108","https://openalex.org/W4409834606","https://openalex.org/W4411739837","https://openalex.org/W4412555364","https://openalex.org/W4415266768","https://openalex.org/W4415800802","https://openalex.org/W4417045481","https://openalex.org/W7130504224","https://openalex.org/W7133203373"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-08T06:17:55.609145","created_date":"2026-06-04T00:00:00"}