{"id":"https://openalex.org/W2090362075","doi":"https://doi.org/10.1137/130928261","title":"A New Convex Inversion Framework for Parameter Identification in Saddle Point Problems with an Application to the Elasticity Imaging Inverse Problem of Predicting Tumor Location","display_name":"A New Convex Inversion Framework for Parameter Identification in Saddle Point Problems with an Application to the Elasticity Imaging Inverse Problem of Predicting Tumor Location","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2090362075","doi":"https://doi.org/10.1137/130928261","mag":"2090362075"},"language":"en","primary_location":{"id":"doi:10.1137/130928261","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130928261","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied 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/A5076682139","display_name":"Baasansuren Jadamba","orcid":"https://orcid.org/0000-0001-5624-1098"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"B. Jadamba","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050042436","display_name":"Akhtar A. Khan","orcid":"https://orcid.org/0000-0002-8325-5388"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. A. Khan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086298733","display_name":"Guillermo Rus","orcid":"https://orcid.org/0000-0002-9239-294X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G. Rus","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022821833","display_name":"Miguel Sama","orcid":"https://orcid.org/0000-0002-9698-0714"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Sama","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5002082686","display_name":"B. Winkler","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"B. Winkler","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5076682139"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.5779,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.94444031,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"74","issue":"5","first_page":"1486","last_page":"1510"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10727","display_name":"Ultrasound Imaging and Elastography","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10727","display_name":"Ultrasound Imaging and Elastography","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2741","display_name":"Radiology, Nuclear Medicine and Imaging"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9997000098228455,"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":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.726607084274292},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.6490370035171509},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.5939446687698364},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5584431886672974},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5572086572647095},{"id":"https://openalex.org/keywords/elasticity","display_name":"Elasticity (physics)","score":0.5471099019050598},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.5233344435691833},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5101664066314697},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.47681209444999695},{"id":"https://openalex.org/keywords/parameter-identification-problem","display_name":"Parameter identification problem","score":0.4557270109653473},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.43442028760910034},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.40337610244750977},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3749212324619293},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29679736495018005},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10267901420593262}],"concepts":[{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.726607084274292},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.6490370035171509},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.5939446687698364},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5584431886672974},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5572086572647095},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.5471099019050598},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.5233344435691833},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5101664066314697},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.47681209444999695},{"id":"https://openalex.org/C79610928","wikidata":"https://www.wikidata.org/wiki/Q1656743","display_name":"Parameter identification problem","level":3,"score":0.4557270109653473},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.43442028760910034},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.40337610244750977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3749212324619293},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29679736495018005},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10267901420593262},{"id":"https://openalex.org/C2983447341","wikidata":"https://www.wikidata.org/wiki/Q1413083","display_name":"Model parameter","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/130928261","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130928261","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W159976669","https://openalex.org/W1489458628","https://openalex.org/W1593038947","https://openalex.org/W1967717455","https://openalex.org/W1969615718","https://openalex.org/W1972350939","https://openalex.org/W1978095415","https://openalex.org/W1979287287","https://openalex.org/W1980367730","https://openalex.org/W1981967600","https://openalex.org/W1986938753","https://openalex.org/W1990022370","https://openalex.org/W1992591175","https://openalex.org/W1993277224","https://openalex.org/W1993491255","https://openalex.org/W2004653286","https://openalex.org/W2008004031","https://openalex.org/W2023366645","https://openalex.org/W2029156639","https://openalex.org/W2032043367","https://openalex.org/W2034564011","https://openalex.org/W2040329619","https://openalex.org/W2041188922","https://openalex.org/W2043870253","https://openalex.org/W2044355033","https://openalex.org/W2047357071","https://openalex.org/W2057557783","https://openalex.org/W2061038362","https://openalex.org/W2066630786","https://openalex.org/W2076100410","https://openalex.org/W2080559633","https://openalex.org/W2087944072","https://openalex.org/W2093791065","https://openalex.org/W2094979113","https://openalex.org/W2107552043","https://openalex.org/W2121713565","https://openalex.org/W2132422504","https://openalex.org/W2133619711","https://openalex.org/W2139465203","https://openalex.org/W2143761180","https://openalex.org/W2149171671","https://openalex.org/W2165769139","https://openalex.org/W2169665348","https://openalex.org/W2223260741","https://openalex.org/W2315373629","https://openalex.org/W2318845040","https://openalex.org/W2325015903","https://openalex.org/W3149667697"],"related_works":["https://openalex.org/W4236459141","https://openalex.org/W4205304778","https://openalex.org/W2020252434","https://openalex.org/W73248859","https://openalex.org/W2584253892","https://openalex.org/W2350324449","https://openalex.org/W1572705989","https://openalex.org/W119381072","https://openalex.org/W2034033896","https://openalex.org/W2087062149"],"abstract_inverted_index":{"This":[0],"work":[1],"presents":[2,36],"a":[3,61,88,143],"thorough":[4],"theoretical":[5],"and":[6,59,68,115,128,149,162],"numerical":[7,151],"analysis":[8],"of":[9,15,22,30,47,64,78,108,124],"the":[10,19,23,27,45,51,56,66,76,106,109,116,135],"elasticity":[11,49],"imaging":[12],"inverse":[13,69],"problem":[14,34],"tumor":[16],"identification":[17,77],"in":[18,44,50,80],"soft":[20],"tissue":[21],"human":[24],"body.":[25],"Beyond":[26],"obvious":[28],"merits":[29],"its":[31],"applications,":[32],"this":[33],"also":[35,139],"significant":[37],"mathematical":[38],"challenges.":[39],"The":[40,96],"near":[41],"incompressibility":[42],"inherent":[43],"model":[46],"linear":[48],"body":[52],"gives":[53],"rise":[54],"to":[55,101,121],"\u201clocking":[57],"effect\u201d":[58],"necessitates":[60],"unique":[62],"treatment":[63],"both":[65,126],"direct":[67],"problems.":[70],"A":[71],"general":[72],"optimization":[73],"framework":[74,118],"for":[75,134],"parameters":[79],"saddle":[81],"point":[82],"problems":[83],"is":[84,99,119],"presented":[85],"along":[86,141],"with":[87,142,156,166],"new":[89,117],"modified":[90],"output":[91,111],"least-squares":[92,112],"(MOLS)":[93],"objective":[94],"functional.":[95],"MOLS":[97],"functional":[98],"shown":[100,120],"be":[102,122],"convex,":[103],"thus":[104],"overcoming":[105],"nonconvexity":[107],"classical":[110],"(OLS)":[113],"functional,":[114],"capable":[123],"accommodating":[125],"smooth":[127],"discontinuous":[129,150],"parameters.":[130],"Generalized":[131],"derivative":[132],"formulas":[133],"coefficient-to-solution":[136],"map":[137],"are":[138,153],"given":[140],"complete":[144],"convergence":[145],"analysis.":[146],"Both":[147],"continuous":[148],"examples":[152],"provided,":[154],"together":[155],"details":[157],"regarding":[158],"discretization,":[159],"implementation":[160],"issues,":[161],"preliminary":[163],"performance":[164],"comparisons":[165],"existing":[167],"methods.":[168]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-01T17:29:45.350535","created_date":"2025-10-10T00:00:00"}
