{"id":"https://openalex.org/W4321084250","doi":"https://doi.org/10.1080/00401706.2023.2181222","title":"Inverse Models for Estimating the Initial Condition of Spatio-Temporal Advection-Diffusion Processes","display_name":"Inverse Models for Estimating the Initial Condition of Spatio-Temporal Advection-Diffusion Processes","publication_year":2023,"publication_date":"2023-02-16","ids":{"openalex":"https://openalex.org/W4321084250","doi":"https://doi.org/10.1080/00401706.2023.2181222"},"language":"en","primary_location":{"id":"doi:10.1080/00401706.2023.2181222","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00401706.2023.2181222","pdf_url":null,"source":{"id":"https://openalex.org/S985303","display_name":"Technometrics","issn_l":"0040-1706","issn":["0040-1706","1537-2723"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Technometrics","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/A5100441116","display_name":"Xiao Liu","orcid":"https://orcid.org/0000-0003-4510-2847"},"institutions":[{"id":"https://openalex.org/I78715868","display_name":"University of Arkansas at Fayetteville","ror":"https://ror.org/05jbt9m15","country_code":"US","type":"education","lineage":["https://openalex.org/I78715868"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Xiao Liu","raw_affiliation_strings":["Department of Industrial Engineering, University of Arkansas","Department of Industrial Engineering, University of Arkansas, Fayetteville, AR"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Arkansas","institution_ids":["https://openalex.org/I78715868"]},{"raw_affiliation_string":"Department of Industrial Engineering, University of Arkansas, Fayetteville, AR","institution_ids":["https://openalex.org/I78715868"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039697877","display_name":"Kyongmin Yeo","orcid":"https://orcid.org/0000-0002-9698-5101"},"institutions":[{"id":"https://openalex.org/I4210114115","display_name":"IBM Research - Thomas J. Watson Research Center","ror":"https://ror.org/0265w5591","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kyongmin Yeo","raw_affiliation_strings":["IBM T. J. Watson Research Center","IBM T. J. Watson Research Center, Yorktown Heights, NY"],"affiliations":[{"raw_affiliation_string":"IBM T. J. Watson Research Center","institution_ids":[]},{"raw_affiliation_string":"IBM T. J. Watson Research Center, Yorktown Heights, NY","institution_ids":["https://openalex.org/I4210114115"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100441116"],"corresponding_institution_ids":["https://openalex.org/I78715868"],"apc_list":null,"apc_paid":null,"fwci":0.4468,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.53150448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"65","issue":"3","first_page":"432","last_page":"445"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9976000189781189,"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"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9976000189781189,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.7096239328384399},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.6532463431358337},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5624114274978638},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48829197883605957},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4674074947834015},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.45429790019989014},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44878649711608887},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44827696681022644},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4226500689983368},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35329025983810425},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.25901633501052856},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.10344982147216797}],"concepts":[{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.7096239328384399},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.6532463431358337},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5624114274978638},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48829197883605957},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4674074947834015},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.45429790019989014},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44878649711608887},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44827696681022644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4226500689983368},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35329025983810425},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.25901633501052856},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.10344982147216797},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00401706.2023.2181222","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00401706.2023.2181222","pdf_url":null,"source":{"id":"https://openalex.org/S985303","display_name":"Technometrics","issn_l":"0040-1706","issn":["0040-1706","1537-2723"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Technometrics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1896212383","https://openalex.org/W1959965185","https://openalex.org/W1968892454","https://openalex.org/W1998299834","https://openalex.org/W2061158652","https://openalex.org/W2068529045","https://openalex.org/W2098174516","https://openalex.org/W2122825543","https://openalex.org/W2132847891","https://openalex.org/W2140514146","https://openalex.org/W2148101459","https://openalex.org/W2292835319","https://openalex.org/W2524575205","https://openalex.org/W2610241640","https://openalex.org/W2618462867","https://openalex.org/W2890178720","https://openalex.org/W2896298015","https://openalex.org/W2899283552","https://openalex.org/W2903833540","https://openalex.org/W2903992732","https://openalex.org/W2904727576","https://openalex.org/W2907583870","https://openalex.org/W2913369795","https://openalex.org/W2921180684","https://openalex.org/W2954063996","https://openalex.org/W2977317992","https://openalex.org/W2980165006","https://openalex.org/W3037757222","https://openalex.org/W3084240815","https://openalex.org/W3091844850","https://openalex.org/W3097516793","https://openalex.org/W3102059369","https://openalex.org/W3103508041","https://openalex.org/W3111889480","https://openalex.org/W3112118288","https://openalex.org/W4206070193","https://openalex.org/W4235606958","https://openalex.org/W4289388889"],"related_works":["https://openalex.org/W2388930876","https://openalex.org/W2119121878","https://openalex.org/W2339811963","https://openalex.org/W2052210854","https://openalex.org/W1601283844","https://openalex.org/W4287899549","https://openalex.org/W2117781171","https://openalex.org/W2388390852","https://openalex.org/W3003165794","https://openalex.org/W2531890813"],"abstract_inverted_index":{"Inverse":[0],"problems":[1],"involve":[2],"making":[3],"inference":[4],"about":[5],"unknown":[6],"parameters":[7],"of":[8,21,25,29,111,151],"a":[9,30,86,120],"physical":[10],"process":[11,33],"using":[12,34],"observational":[13],"data.":[14],"This":[15],"article":[16],"investigates":[17],"an":[18],"important":[19],"class":[20],"inverse":[22,81,154],"problems\u2014the":[23],"estimation":[24],"the":[26,57,67,80,93,107,117,129,152],"initial":[27],"condition":[28],"spatio-temporal":[31],"advection-diffusion":[32],"spatially":[35],"sparse":[36],"data":[37],"streams.":[38],"Three":[39],"spatial":[40],"sampling":[41,54,78],"schemes":[42],"are":[43,64,134,144],"considered,":[44],"including":[45],"irregular,":[46],"nonuniform":[47,71],"and":[48,72,99,142],"shifted":[49,73],"uniform":[50,74],"sampling.":[51,75],"The":[52,101],"irregular":[53],"scheme":[55],"is":[56,83,104,126,137],"general":[58],"scenario,":[59],"while":[60],"computationally":[61],"efficient":[62],"solutions":[63],"available":[65,139],"in":[66],"spectral":[68],"domain":[69],"for":[70],"For":[76],"each":[77],"scheme,":[79],"problem":[82,90,103],"formulated":[84],"as":[85],"regularized":[87],"convex":[88],"optimization":[89,102],"that":[91],"minimizes":[92],"distance":[94],"between":[95],"forward":[96],"model":[97,130],"outputs":[98],"observations.":[100],"solved":[105],"by":[106],"Alternating":[108],"Direction":[109],"Method":[110],"Multipliers":[112],"algorithm,":[113],"which":[114],"also":[115],"handles":[116],"situation":[118],"when":[119],"linear":[121],"inequality":[122],"constraint":[123],"(e.g.,":[124],"non-negativity)":[125],"imposed":[127],"on":[128,140],"output.":[131],"Numerical":[132],"examples":[133],"presented,":[135],"code":[136],"made":[138],"GitHub,":[141],"discussions":[143],"provided":[145],"to":[146],"generate":[147],"some":[148],"useful":[149],"insights":[150],"proposed":[153],"modeling":[155],"approaches.":[156]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-02-06T02:01:19.302388","created_date":"2025-10-10T00:00:00"}