{"id":"https://openalex.org/W7154620266","doi":"https://doi.org/10.1016/j.cnsns.2026.110057","title":"Stable and optimal conductance recovery on networks","display_name":"Stable and optimal conductance recovery on networks","publication_year":2026,"publication_date":"2026-04-16","ids":{"openalex":"https://openalex.org/W7154620266","doi":"https://doi.org/10.1016/j.cnsns.2026.110057"},"language":"en","primary_location":{"id":"doi:10.1016/j.cnsns.2026.110057","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.110057","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.cnsns.2026.110057","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5128011125","display_name":"\u00c1. Carmona","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"\u00c1. Carmona","raw_affiliation_strings":["Departament de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya-BarcelonaTech, Spain"],"raw_orcid":"https://orcid.org/0000-0001-7713-1066","affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya-BarcelonaTech, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128006863","display_name":"A. M. Encinas","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"A.M. Encinas","raw_affiliation_strings":["Departament de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya-BarcelonaTech, Spain"],"raw_orcid":"https://orcid.org/0000-0001-5588-0373","affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya-BarcelonaTech, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133735111","display_name":"M.J. Jim\u00e9nez","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"M.J. Jim\u00e9nez","raw_affiliation_strings":["Departament de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya-BarcelonaTech, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tiques, Universitat Polit\u00e8cnica de Catalunya-BarcelonaTech, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114200936","display_name":"\u00c1. Samperio","orcid":null},"institutions":[{"id":"https://openalex.org/I4210157032","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05e9bn444","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210157032"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"\u00c1. Samperio","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, CUNEF Universidad, Madrid, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, CUNEF Universidad, Madrid, Spain","institution_ids":["https://openalex.org/I4210157032"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5128006863"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":{"value":3460,"currency":"USD","value_usd":3460},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.90893271,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"161","issue":null,"first_page":"110057","last_page":"110057"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.8450999855995178,"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"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.8450999855995178,"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/T11778","display_name":"Electrical and Bioimpedance Tomography","score":0.029200000688433647,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.014100000262260437,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.7703999876976013},{"id":"https://openalex.org/keywords/conductance","display_name":"Conductance","score":0.7610999941825867},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6215999722480774},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5670999884605408},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5490000247955322},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4848000109195709},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4668999910354614},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.46129998564720154},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.3804999887943268}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7703999876976013},{"id":"https://openalex.org/C121932024","wikidata":"https://www.wikidata.org/wiki/Q5159376","display_name":"Conductance","level":2,"score":0.7610999941825867},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6215999722480774},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5741999745368958},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5670999884605408},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5490000247955322},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4848000109195709},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4668999910354614},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.46129998564720154},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45829999446868896},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3804999887943268},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.375},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.37209999561309814},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.3617999851703644},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.3463999927043915},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.34360000491142273},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.33219999074935913},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.323199987411499},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.30820000171661377},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.30799999833106995},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.303600013256073},{"id":"https://openalex.org/C194715058","wikidata":"https://www.wikidata.org/wiki/Q13570090","display_name":"Conductance quantum","level":5,"score":0.3034000098705292},{"id":"https://openalex.org/C127436580","wikidata":"https://www.wikidata.org/wiki/Q6452866","display_name":"Polynomial expansion","level":2,"score":0.2892000079154968},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.289000004529953},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.28279998898506165},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.2775999903678894},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27059999108314514},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2578999996185303},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2533999979496002}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cnsns.2026.110057","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.110057","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.cnsns.2026.110057","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.110057","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4200981855392456,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320328447","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31"},{"id":"https://openalex.org/F4320335598","display_name":"Agencia Estatal de Investigaci\u00f3n","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W60687185","https://openalex.org/W1967083339","https://openalex.org/W1969823477","https://openalex.org/W1978370608","https://openalex.org/W1979097121","https://openalex.org/W1981696101","https://openalex.org/W2005681075","https://openalex.org/W2031604650","https://openalex.org/W2095463076","https://openalex.org/W2172384618","https://openalex.org/W2409980615","https://openalex.org/W2950410145","https://openalex.org/W2963399478","https://openalex.org/W3007202639","https://openalex.org/W3168504824","https://openalex.org/W4401185915"],"related_works":[],"abstract_inverted_index":{"\u2022":[0,10,18,26,34],"Stable":[1],"recovery":[2,91,163],"of":[3,12,85,88,112,125,142,154],"piecewise":[4,77,104],"constant":[5,78,105],"conductances":[6],"from":[7,75],"boundary":[8],"data":[9],"Influence":[11],"regularization":[13,64],"parameter":[14],"on":[15,47,53],"reconstruction":[16],"stability":[17,87],"Critical":[19],"and":[20],"non-critical":[21],"network":[22,130,166],"behaviors":[23],"are":[24],"analyzed":[25],"Optimization":[27],"framework":[28],"for":[29,135,138,161],"conductance":[30,51,79,90,99,162],"identification":[31],"is":[32],"proposed":[33],"Numerical":[35],"experiments":[36],"validate":[37],"the":[38,48,68,73,86,89,97,103,113,119,123,139,143,152],"theoretical":[39],"findings":[40],"This":[41,147],"paper":[42],"extends":[43],"our":[44,126],"previous":[45],"work":[46,148],"discrete":[49],"inverse":[50,69,156],"problem":[52,70],"spider":[54],"networks.":[55],"Our":[56],"approach":[57],"leverages":[58],"polynomial":[59,144],"optimization":[60,145],"techniques,":[61],"incorporating":[62],"a":[63,76,109],"term":[65],"to":[66,118,151],"stabilize":[67],"that":[71],"penalises":[72],"deviation":[74],"hypothesis.":[80],"Here,":[81],"we":[82,133],"show":[83],"examples":[84],"even":[92],"in":[93,95,128,164],"cases":[94],"which":[96],"real":[98],"does":[100],"not":[101],"satisfy":[102],"property.":[106],"We":[107],"provide":[108],"comprehensive":[110],"analysis":[111],"error":[114],"behavior":[115],"with":[116],"respect":[117],"penalty":[120],"parameter,":[121],"demonstrating":[122],"effectiveness":[124],"method":[127],"various":[129],"scenarios.":[131],"Finally,":[132],"look":[134],"optimality":[136],"guarantees":[137],"numerical":[140],"solution":[141],"problem.":[146],"significantly":[149],"contributes":[150],"field":[153],"applied":[155],"problems,":[157],"offering":[158],"robust":[159],"strategies":[160],"complex":[165],"structures.":[167]},"counts_by_year":[],"updated_date":"2026-04-24T06:01:54.638496","created_date":"2026-04-17T00:00:00"}