{"id":"https://openalex.org/W2049593457","doi":"https://doi.org/10.1109/cdc.2013.6760022","title":"Regularization-based identification for level set equations","display_name":"Regularization-based identification for level set equations","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2049593457","doi":"https://doi.org/10.1109/cdc.2013.6760022","mag":"2049593457"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760022","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760022","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"conference-paper","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/A5063507594","display_name":"Insoon Yang","orcid":"https://orcid.org/0000-0001-5887-6169"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Insoon Yang","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA","Dept. of Electr. Eng. & Comput. Sci., Univ. of California-Berkeley, Berkeley, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Dept. of Electr. Eng. & Comput. Sci., Univ. of California-Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045155646","display_name":"Claire J. Tomlin","orcid":"https://orcid.org/0000-0003-3192-3185"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Claire J. Tomlin","raw_affiliation_strings":["Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA","Dept. of Electr. Eng. & Comput. Sci., Univ. of California-Berkeley, Berkeley, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Dept. of Electr. Eng. & Comput. Sci., Univ. of California-Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":0.5648,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.64508656,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1058","last_page":"1064"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9704999923706055,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9704999923706055,"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.963699996471405,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9580000042915344,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.7521518468856812},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.6049886345863342},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5939227938652039},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5812065005302429},{"id":"https://openalex.org/keywords/level-set","display_name":"Level set (data structures)","score":0.544762134552002},{"id":"https://openalex.org/keywords/level-set-method","display_name":"Level set method","score":0.5256422758102417},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5162996649742126},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5126463770866394},{"id":"https://openalex.org/keywords/adjoint-equation","display_name":"Adjoint equation","score":0.5113286375999451},{"id":"https://openalex.org/keywords/parameter-identification-problem","display_name":"Parameter identification problem","score":0.5053666234016418},{"id":"https://openalex.org/keywords/proximal-gradient-methods-for-learning","display_name":"Proximal gradient methods for learning","score":0.46815919876098633},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.45001310110092163},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.43247225880622864},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3252415060997009},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29231077432632446},{"id":"https://openalex.org/keywords/regularization-perspectives-on-support-vector-machines","display_name":"Regularization perspectives on support vector machines","score":0.2595025897026062},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.23909246921539307},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.19644007086753845},{"id":"https://openalex.org/keywords/image-segmentation","display_name":"Image segmentation","score":0.10520485043525696},{"id":"https://openalex.org/keywords/segmentation","display_name":"Segmentation","score":0.08186963200569153},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08097219467163086}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.7521518468856812},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.6049886345863342},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5939227938652039},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5812065005302429},{"id":"https://openalex.org/C153008295","wikidata":"https://www.wikidata.org/wiki/Q6535093","display_name":"Level set (data structures)","level":2,"score":0.544762134552002},{"id":"https://openalex.org/C125269122","wikidata":"https://www.wikidata.org/wiki/Q1751397","display_name":"Level set method","level":4,"score":0.5256422758102417},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5162996649742126},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5126463770866394},{"id":"https://openalex.org/C165551260","wikidata":"https://www.wikidata.org/wiki/Q4428962","display_name":"Adjoint equation","level":3,"score":0.5113286375999451},{"id":"https://openalex.org/C79610928","wikidata":"https://www.wikidata.org/wiki/Q1656743","display_name":"Parameter identification problem","level":3,"score":0.5053666234016418},{"id":"https://openalex.org/C79248915","wikidata":"https://www.wikidata.org/wiki/Q17086776","display_name":"Proximal gradient methods for learning","level":5,"score":0.46815919876098633},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.45001310110092163},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.43247225880622864},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3252415060997009},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29231077432632446},{"id":"https://openalex.org/C141718189","wikidata":"https://www.wikidata.org/wiki/Q7309628","display_name":"Regularization perspectives on support vector machines","level":4,"score":0.2595025897026062},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.23909246921539307},{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.19644007086753845},{"id":"https://openalex.org/C124504099","wikidata":"https://www.wikidata.org/wiki/Q56933","display_name":"Image segmentation","level":3,"score":0.10520485043525696},{"id":"https://openalex.org/C89600930","wikidata":"https://www.wikidata.org/wiki/Q1423946","display_name":"Segmentation","level":2,"score":0.08186963200569153},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08097219467163086},{"id":"https://openalex.org/C2983447341","wikidata":"https://www.wikidata.org/wiki/Q1413083","display_name":"Model parameter","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2013.6760022","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760022","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:berkeley.edu:28722-bk00148305w","is_oa":false,"landing_page_url":"http://techreports.lib.berkeley.edu/accessPages/EECS-2013-156.html","pdf_url":null,"source":{"id":"https://openalex.org/S7407050879","display_name":"UC Berkeley","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"technical reports"},{"id":"pmh:oai:s-space.snu.ac.kr:10371/196084","is_oa":false,"landing_page_url":"https://hdl.handle.net/10371/196084","pdf_url":null,"source":{"id":"https://openalex.org/S4306401345","display_name":"Seoul National University Open Repository (Seoul National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139264467","host_organization_name":"Seoul National University","host_organization_lineage":["https://openalex.org/I139264467"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Proceedings Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1238092070","https://openalex.org/W1600371943","https://openalex.org/W1902819800","https://openalex.org/W1967120404","https://openalex.org/W1970950023","https://openalex.org/W1971536112","https://openalex.org/W1974961323","https://openalex.org/W1991113069","https://openalex.org/W1999244633","https://openalex.org/W2005521304","https://openalex.org/W2008429370","https://openalex.org/W2018387453","https://openalex.org/W2034082312","https://openalex.org/W2034188696","https://openalex.org/W2035072927","https://openalex.org/W2045277539","https://openalex.org/W2047903964","https://openalex.org/W2049593457","https://openalex.org/W2050094581","https://openalex.org/W2051413099","https://openalex.org/W2059425499","https://openalex.org/W2060556513","https://openalex.org/W2063819119","https://openalex.org/W2097379140","https://openalex.org/W2109806713","https://openalex.org/W2117799169","https://openalex.org/W2156193902","https://openalex.org/W2749408143","https://openalex.org/W3137510375","https://openalex.org/W4212781311","https://openalex.org/W4239369248","https://openalex.org/W4241127195","https://openalex.org/W4249808547","https://openalex.org/W4301014524"],"related_works":["https://openalex.org/W2349466011","https://openalex.org/W2963086517","https://openalex.org/W1543207628","https://openalex.org/W2078714116","https://openalex.org/W2564735875","https://openalex.org/W2034189051","https://openalex.org/W2009182781","https://openalex.org/W2611911519","https://openalex.org/W2078665452","https://openalex.org/W2352087465"],"abstract_inverted_index":{"An":[0],"optimization-based":[1],"method":[2,162],"for":[3],"identifying":[4],"the":[5,18,29,41,63,67,89,92,96,99,106,111,122,136,139,150,161,173],"speed":[6],"profile":[7],"of":[8,62,66,91,98,124,138,160,177],"a":[9,25,59,76,81,116,129,166],"moving":[10],"surface":[11,20],"from":[12,57],"image":[13],"data":[14],"is":[15,22],"studied.":[16],"If":[17],"dynamic":[19],"motion":[21],"modeled":[23],"by":[24,165],"level":[26,42,83,131,146],"set":[27,43,84,132,147],"equation,":[28],"identification":[30,78,112],"problem":[31,38,127,142],"can":[32],"be":[33],"formulated":[34],"as":[35,149],"an":[36,125,144],"optimization":[37,68,103,126,141],"constrained":[39],"with":[40,105,128,143],"equation":[44,133,148],"whose":[45],"(viscosity)":[46],"solution,":[47],"in":[48,169,181],"general,":[49],"has":[50],"kinks.":[51],"The":[52,86,156],"non-differentiable":[53],"solution":[54,123,137],"prevents":[55],"us":[56],"having":[58],"bounded":[60],"gradient":[61],"cost":[64,93],"function":[65,94],"problem.":[69,113],"To":[70],"overcome":[71],"this":[72],"difficulty,":[73],"we":[74,109,171],"develop":[75],"novel":[77],"approach":[79],"using":[80],"regularized":[82,130],"equation.":[85],"regularization":[87,151],"guarantees":[88],"differentiability":[90],"and":[95,158,179],"boundedness":[97],"gradient.":[100],"Using":[101],"numerical":[102,117],"techniques":[104],"adjoint-based":[107],"gradient,":[108],"solve":[110],"We":[114],"perform":[115],"test":[118],"to":[119,135,154],"validate":[120],"that":[121],"converges":[134],"same":[140],"unregularized":[145],"factor":[152],"tends":[153],"zero.":[155],"performance":[157],"usefulness":[159],"are":[163],"demonstrated":[164],"biological":[167],"example":[168],"which":[170],"estimate":[172],"forces":[174],"(per":[175],"density)":[176],"actin":[178],"myosin":[180],"cell":[182],"polarization.":[183]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
