{"id":"https://openalex.org/W4385550388","doi":"https://doi.org/10.1080/00207160.2023.2239944","title":"Computationally efficient techniques for spatial regression with differential regularization","display_name":"Computationally efficient techniques for spatial regression with differential regularization","publication_year":2023,"publication_date":"2023-08-03","ids":{"openalex":"https://openalex.org/W4385550388","doi":"https://doi.org/10.1080/00207160.2023.2239944"},"language":"en","primary_location":{"id":"doi:10.1080/00207160.2023.2239944","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2023.2239944","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"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":"International Journal of Computer Mathematics","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/A5075755315","display_name":"Eleonora Arnone","orcid":"https://orcid.org/0000-0002-8712-3489"},"institutions":[{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Eleonora Arnone","raw_affiliation_strings":["Dipartimento di Management, Univesit\u00e0 degli Studi di Torino, Torino, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Management, Univesit\u00e0 degli Studi di Torino, Torino, Italy","institution_ids":["https://openalex.org/I55143463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089552385","display_name":"Carlo de Falco","orcid":"https://orcid.org/0000-0002-9872-1425"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Carlo De Falco","raw_affiliation_strings":["MOX \u2013 Dipartimento di Matematica, Politecnico di Milano, Milano, Italy"],"affiliations":[{"raw_affiliation_string":"MOX \u2013 Dipartimento di Matematica, Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030787381","display_name":"Luca Formaggia","orcid":"https://orcid.org/0000-0003-2628-1683"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Formaggia","raw_affiliation_strings":["MOX \u2013 Dipartimento di Matematica, Politecnico di Milano, Milano, Italy"],"affiliations":[{"raw_affiliation_string":"MOX \u2013 Dipartimento di Matematica, Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092592427","display_name":"Giorgio Meretti","orcid":null},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giorgio Meretti","raw_affiliation_strings":["MOX \u2013 Dipartimento di Matematica, Politecnico di Milano, Milano, Italy"],"affiliations":[{"raw_affiliation_string":"MOX \u2013 Dipartimento di Matematica, Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064013596","display_name":"Laura M. Sangalli","orcid":"https://orcid.org/0000-0002-4951-9239"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Laura M. Sangalli","raw_affiliation_strings":["MOX \u2013 Dipartimento di Matematica, Politecnico di Milano, Milano, Italy"],"affiliations":[{"raw_affiliation_string":"MOX \u2013 Dipartimento di Matematica, Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5064013596"],"corresponding_institution_ids":["https://openalex.org/I93860229"],"apc_list":null,"apc_paid":null,"fwci":1.0421,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7797679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"100","issue":"10","first_page":"1971","last_page":"1991"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.998199999332428,"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"}},"topics":[{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.998199999332428,"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"}},{"id":"https://openalex.org/T10243","display_name":"Statistical Methods and Bayesian Inference","score":0.9897000193595886,"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"}},{"id":"https://openalex.org/T10770","display_name":"Soil Geostatistics and Mapping","score":0.9807999730110168,"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/smoothing","display_name":"Smoothing","score":0.6707788705825806},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.589145839214325},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4811340868473053},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44395729899406433},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.42597877979278564},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41424429416656494},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.41207054257392883},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3798203766345978},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3680616021156311},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3319973349571228},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.19557684659957886},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16520804166793823},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14549332857131958}],"concepts":[{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.6707788705825806},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.589145839214325},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4811340868473053},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44395729899406433},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.42597877979278564},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41424429416656494},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.41207054257392883},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3798203766345978},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3680616021156311},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3319973349571228},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.19557684659957886},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16520804166793823},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14549332857131958},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207160.2023.2239944","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160.2023.2239944","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"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":"International Journal of Computer Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:re.public.polimi.it:11311/1247498","is_oa":false,"landing_page_url":"https://hdl.handle.net/11311/1247498","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7400000095367432,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W22488328","https://openalex.org/W629836974","https://openalex.org/W658255542","https://openalex.org/W1423766661","https://openalex.org/W1501760102","https://openalex.org/W1506342804","https://openalex.org/W1980439445","https://openalex.org/W1983208069","https://openalex.org/W1990381576","https://openalex.org/W1992633748","https://openalex.org/W2009499611","https://openalex.org/W2030281874","https://openalex.org/W2033370418","https://openalex.org/W2037246334","https://openalex.org/W2047114443","https://openalex.org/W2050100385","https://openalex.org/W2051917325","https://openalex.org/W2065540158","https://openalex.org/W2068730886","https://openalex.org/W2074093855","https://openalex.org/W2078394884","https://openalex.org/W2103038618","https://openalex.org/W2104002570","https://openalex.org/W2116394790","https://openalex.org/W2126759246","https://openalex.org/W2128892613","https://openalex.org/W2132748214","https://openalex.org/W2140153041","https://openalex.org/W2155216327","https://openalex.org/W2155782712","https://openalex.org/W2238512508","https://openalex.org/W2310569597","https://openalex.org/W2313227252","https://openalex.org/W2582743722","https://openalex.org/W2798816298","https://openalex.org/W2894651531","https://openalex.org/W3000332379","https://openalex.org/W3101789811","https://openalex.org/W3112717819","https://openalex.org/W3136918357","https://openalex.org/W4200118621","https://openalex.org/W4244155866","https://openalex.org/W4249303080","https://openalex.org/W4298876635","https://openalex.org/W4302599714"],"related_works":["https://openalex.org/W2383807498","https://openalex.org/W1978572805","https://openalex.org/W1997992934","https://openalex.org/W1987225439","https://openalex.org/W4238188170","https://openalex.org/W2125114371","https://openalex.org/W2149980199","https://openalex.org/W2019977573","https://openalex.org/W4213275102","https://openalex.org/W2151138761"],"abstract_inverted_index":{"We":[0,75,84],"investigate":[1,86],"some":[2],"computational":[3,55,138],"aspects":[4],"of":[5,9,30,63,90,111,129,131,144],"an":[6],"innovative":[7],"class":[8],"PDE-regularized":[10],"statistical":[11],"models:":[12],"Spatial":[13],"Regression":[14],"with":[15,41,47,120],"Partial":[16],"Differential":[17],"Equation":[18],"regularization":[19],"(SR-PDE).":[20],"These":[21,134],"physics-informed":[22],"regression":[23],"methods":[24,103],"can":[25],"account":[26],"for":[27],"the":[28,31,61,87,91,126,132,142],"physics":[29],"underlying":[32],"phenomena":[33],"and":[34,49],"handle":[35],"data":[36],"observed":[37],"over":[38],"spatial":[39],"domains":[40,46],"nontrivial":[42],"shapes,":[43],"such":[44],"as":[45],"concavities":[48],"holes":[50],"or":[51],"curved":[52],"domains.":[53],"The":[54],"bottleneck":[56],"in":[57,94,141],"SR-PDE":[58,95],"estimation":[59],"is":[60],"solution":[62],"a":[64,70],"computationally":[65],"demanding":[66],"linear":[67],"system":[68],"involving":[69],"low-rank":[71],"but":[72],"dense":[73],"block.":[74],"address":[76],"this":[77],"aspect":[78],"by":[79],"innovatively":[80],"using":[81],"Sherman\u2013Morrison\u2013Woodbury":[82,118],"identity.":[83],"also":[85,140],"efficient":[88],"selection":[89],"smoothing":[92],"parameter":[93],"estimates.":[96],"Specifically,":[97],"we":[98],"propose":[99],"ad":[100],"hoc":[101],"optimization":[102],"to":[104,124],"perform":[105],"Generalized":[106],"Cross-Validation,":[107],"coupling":[108],"suitable":[109],"reformulation":[110],"key":[112],"matrices,":[113],"e.g.":[114],"those":[115],"based":[116],"on":[117],"formula,":[119],"stochastic":[121],"trace":[122],"estimation,":[123],"approximate":[125],"equivalent":[127],"degrees":[128],"freedom":[130],"problem.":[133],"solutions":[135],"permit":[136],"high":[137],"efficiency":[139],"context":[143],"massive":[145],"data.":[146]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}