{"id":"https://openalex.org/W2040657720","doi":"https://doi.org/10.1109/lsp.2014.2349356","title":"Convex 1-D Total Variation Denoising with Non-convex Regularization","display_name":"Convex 1-D Total Variation Denoising with Non-convex Regularization","publication_year":2014,"publication_date":"2014-08-20","ids":{"openalex":"https://openalex.org/W2040657720","doi":"https://doi.org/10.1109/lsp.2014.2349356","mag":"2040657720"},"language":"en","primary_location":{"id":"doi:10.1109/lsp.2014.2349356","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2014.2349356","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","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/A5058321875","display_name":"Ivan Selesnick","orcid":"https://orcid.org/0000-0002-4939-3971"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ivan W. Selesnick","raw_affiliation_strings":["Department of Electrical and Computer Engineering, New York University, Brooklyn, NY","Department of Electrical and Computer Engineering, New York University, Brooklyn,"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, New York University, Brooklyn, NY","institution_ids":["https://openalex.org/I57206974"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, New York University, Brooklyn,","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078399521","display_name":"Ankit Parekh","orcid":"https://orcid.org/0000-0002-5396-0553"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ankit Parekh","raw_affiliation_strings":["Department of Electrical and Computer Engineering, New York University, Brooklyn, NY","Department of Electrical and Computer Engineering, New York University, Brooklyn,"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, New York University, Brooklyn, NY","institution_ids":["https://openalex.org/I57206974"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, New York University, Brooklyn,","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046157113","display_name":"\u0130lker Bayram","orcid":"https://orcid.org/0000-0002-4829-5827"},"institutions":[{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Ilker Bayram","raw_affiliation_strings":["Istanbul Technical University, Istanbul, Turkey"],"affiliations":[{"raw_affiliation_string":"Istanbul Technical University, Istanbul, Turkey","institution_ids":["https://openalex.org/I48912391"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058321875"],"corresponding_institution_ids":["https://openalex.org/I57206974"],"apc_list":null,"apc_paid":null,"fwci":12.8718,"has_fulltext":false,"cited_by_count":117,"citation_normalized_percentile":{"value":0.99319352,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"22","issue":"2","first_page":"141","last_page":"144"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9998000264167786,"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":0.9998000264167786,"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/T10688","display_name":"Image and Signal Denoising Methods","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T12015","display_name":"Photoacoustic and Ultrasonic Imaging","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/convex-function","display_name":"Convex function","score":0.6371410489082336},{"id":"https://openalex.org/keywords/total-variation-denoising","display_name":"Total variation denoising","score":0.6274762749671936},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.6237959265708923},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.5623177886009216},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.5614921450614929},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5480952858924866},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5377407670021057},{"id":"https://openalex.org/keywords/maxima-and-minima","display_name":"Maxima and minima","score":0.5246660709381104},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.5237479209899902},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5107192993164062},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.48565590381622314},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4595862925052643},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3606484532356262},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21308743953704834}],"concepts":[{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.6371410489082336},{"id":"https://openalex.org/C207282899","wikidata":"https://www.wikidata.org/wiki/Q7828156","display_name":"Total variation denoising","level":3,"score":0.6274762749671936},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.6237959265708923},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.5623177886009216},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.5614921450614929},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5480952858924866},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5377407670021057},{"id":"https://openalex.org/C186633575","wikidata":"https://www.wikidata.org/wiki/Q845060","display_name":"Maxima and minima","level":2,"score":0.5246660709381104},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.5237479209899902},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5107192993164062},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.48565590381622314},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4595862925052643},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3606484532356262},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21308743953704834},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/lsp.2014.2349356","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lsp.2014.2349356","pdf_url":null,"source":{"id":"https://openalex.org/S120629676","display_name":"IEEE Signal Processing Letters","issn_l":"1070-9908","issn":["1070-9908","1558-2361"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Signal Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.723.2644","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.723.2644","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eeweb.poly.edu/iselesni/TVD_nonconvex/TVD_2014_SPL.pdf","raw_type":"text"},{"id":"pmh:oai:polen.itu.edu.tr:11527/62198","is_oa":false,"landing_page_url":"https://hdl.handle.net/11527/62198","pdf_url":null,"source":{"id":"https://openalex.org/S4306400460","display_name":"Istanbul Technical University Academic Open Archive (Istanbul Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I48912391","host_organization_name":"Istanbul Technical University","host_organization_lineage":["https://openalex.org/I48912391"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6498481770","display_name":null,"funder_award_id":"CCF-1018020","funder_id":"https://openalex.org/F4320337387","funder_display_name":"Division of Computing and Communication Foundations"}],"funders":[{"id":"https://openalex.org/F4320337387","display_name":"Division of Computing and Communication Foundations","ror":"https://ror.org/01mng8331"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1480782025","https://openalex.org/W1483822002","https://openalex.org/W1503425191","https://openalex.org/W1758610246","https://openalex.org/W1975377467","https://openalex.org/W1978926712","https://openalex.org/W1992276332","https://openalex.org/W2050023599","https://openalex.org/W2070433376","https://openalex.org/W2072081687","https://openalex.org/W2080238139","https://openalex.org/W2092925016","https://openalex.org/W2095106682","https://openalex.org/W2103338902","https://openalex.org/W2103559027","https://openalex.org/W2122688057","https://openalex.org/W2122950831","https://openalex.org/W2129607944","https://openalex.org/W2142451209","https://openalex.org/W2147155457","https://openalex.org/W2157011125","https://openalex.org/W2289324015","https://openalex.org/W2432517183","https://openalex.org/W2913192828","https://openalex.org/W3104509149","https://openalex.org/W4244769743","https://openalex.org/W6696638459"],"related_works":["https://openalex.org/W2393350255","https://openalex.org/W2361933918","https://openalex.org/W2146805476","https://openalex.org/W2350695164","https://openalex.org/W2797352955","https://openalex.org/W4323362429","https://openalex.org/W2384258874","https://openalex.org/W2365171912","https://openalex.org/W2998830245","https://openalex.org/W2373602408"],"abstract_inverted_index":{"Total":[0],"variation":[1],"(TV)":[2],"denoising":[3,23,98],"is":[4,17,24,101,106],"an":[5],"effective":[6],"noise":[7],"suppression":[8],"method":[9],"when":[10],"the":[11,14,67,76,95,109],"derivative":[12],"of":[13,28,69],"underlying":[15],"signal":[16],"known":[18],"to":[19,55,80],"be":[20,81],"sparse.":[21],"TV":[22,97],"defined":[25],"in":[26],"terms":[27],"a":[29,34,40,56,70,88],"convex":[30,41],"optimization":[31,58],"problem":[32,59],"involving":[33],"quadratic":[35],"data":[36],"fidelity":[37],"term":[38],"and":[39],"regularization":[42],"term.":[43],"A":[44],"non-convex":[45,57,71,89],"regularizer":[46,72,90],"can":[47],"promote":[48],"sparsity":[49],"more":[50],"strongly,":[51],"but":[52],"generally":[53],"leads":[54],"with":[60],"non-optimal":[61],"local":[62],"minima.":[63],"This":[64],"letter":[65],"proposes":[66],"use":[68],"constrained":[73],"so":[74],"that":[75,93],"total":[77,96],"objective":[78,99],"function":[79,100],"minimized":[82],"maintains":[83],"its":[84],"convexity.":[85],"Conditions":[86],"for":[87,108],"are":[91],"given":[92,107],"ensure":[94],"convex.":[102],"An":[103],"efficient":[104],"algorithm":[105],"resulting":[110],"problem.":[111]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":12},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":17},{"year":2015,"cited_by_count":9}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}