{"id":"https://openalex.org/W2100258049","doi":"https://doi.org/10.1109/acc.2007.4282395","title":"Optimal Estimate of Monotonic Trend with Sparse Jumps","display_name":"Optimal Estimate of Monotonic Trend with Sparse Jumps","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2100258049","doi":"https://doi.org/10.1109/acc.2007.4282395","mag":"2100258049"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2007.4282395","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282395","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","raw_type":"proceedings-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/A5043201307","display_name":"Dimitry Gorinevsky","orcid":"https://orcid.org/0000-0002-9595-0863"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dimitry Gorinevsky","raw_affiliation_strings":["Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","[Stanford Univ., Stanford]"],"affiliations":[{"raw_affiliation_string":"Information Systems Laboratory, Department of Electrical Engineering, University of Stanford, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"[Stanford Univ., Stanford]","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043201307"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":1.7557,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.87981325,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"44","issue":null,"first_page":"1051","last_page":"1056"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T12879","display_name":"Distributed Sensor Networks and Detection Algorithms","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11236","display_name":"Control Systems and Identification","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/monotonic-function","display_name":"Monotonic function","score":0.7756692171096802},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.6103840470314026},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5758817195892334},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4872528612613678},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46253302693367004},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4592800438404083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43963387608528137},{"id":"https://openalex.org/keywords/gaussian-noise","display_name":"Gaussian noise","score":0.42323267459869385},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.4152188301086426},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41038933396339417},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37415963411331177},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22392553091049194},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1011817455291748}],"concepts":[{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.7756692171096802},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.6103840470314026},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5758817195892334},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4872528612613678},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46253302693367004},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4592800438404083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43963387608528137},{"id":"https://openalex.org/C4199805","wikidata":"https://www.wikidata.org/wiki/Q2725903","display_name":"Gaussian noise","level":2,"score":0.42323267459869385},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4152188301086426},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41038933396339417},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37415963411331177},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22392553091049194},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1011817455291748},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2007.4282395","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282395","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.332.5879","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.332.5879","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.stanford.edu/~gorin/papers/ACC07trend.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W165896801","https://openalex.org/W1965755064","https://openalex.org/W2012205546","https://openalex.org/W2015814569","https://openalex.org/W2021032335","https://openalex.org/W2097323375","https://openalex.org/W2112367267","https://openalex.org/W2120954952","https://openalex.org/W2129278786","https://openalex.org/W2136099213","https://openalex.org/W2136634449","https://openalex.org/W2143558629","https://openalex.org/W2147656689","https://openalex.org/W2149206122","https://openalex.org/W2149911662","https://openalex.org/W2150722533","https://openalex.org/W2154332973","https://openalex.org/W2163916252","https://openalex.org/W2296319761","https://openalex.org/W2401606618","https://openalex.org/W2795929191","https://openalex.org/W2796501268","https://openalex.org/W3023659858","https://openalex.org/W3152263107","https://openalex.org/W4249955741","https://openalex.org/W4250589301","https://openalex.org/W6606632740","https://openalex.org/W6680120831","https://openalex.org/W6777093475"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W4380682190","https://openalex.org/W4315701745","https://openalex.org/W1990290471","https://openalex.org/W2945307361","https://openalex.org/W1977981177","https://openalex.org/W2005710836","https://openalex.org/W2102386043","https://openalex.org/W1970319972","https://openalex.org/W2953254336"],"abstract_inverted_index":{"This":[0],"paper":[1],"discusses":[2],"a":[3,34,36,65,69,80,83,98],"problem":[4,42],"for":[5,92,117],"recovering":[6],"an":[7],"underlying":[8],"trend":[9,19,30],"from":[10],"noisy":[11],"data.":[12],"The":[13,29,40,58,76,87],"key":[14],"assumption":[15],"is":[16,20,31,44,61,74,79],"that":[17,62,96],"the":[18,104,114,118,121],"monotonic,":[21],"e.g.,":[22],"reflects":[23],"accumulation":[24],"of":[25,64,101],"irreversible":[26],"system":[27],"deterioration.":[28],"obtained":[32],"as":[33],"maximum":[35],"posteriori":[37],"probability":[38],"estimate.":[39],"overall":[41],"setup":[43],"related":[45],"to":[46,82],"<i":[47,51],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[48,52],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u03b1</i>":[49],"\u2010":[50],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u03b2</i>":[53],"filter":[54],"and":[55],"Hodrick-Prescott":[56],"filter.":[57],"main":[59],"difference":[60],"instead":[63],"Gaussian":[66],"process":[67],"noise,":[68],"one-sided":[70],"exponentially":[71],"distributed":[72],"noise":[73],"assumed.":[75],"batch":[77],"estimate":[78],"solution":[81],"Quadratic":[84],"Programming":[85],"problem.":[86],"approach":[88],"works":[89],"exceptionally":[90],"well":[91],"piece-wise":[93],"linear":[94],"trends":[95],"have":[97],"small":[99],"number":[100],"jumps":[102,119],"in":[103,120],"trended":[105],"variable":[106],"or":[107],"its":[108],"increase":[109],"rate.":[110],"Theoretical":[111],"analysis":[112],"justifies":[113],"sparsity":[115],"properties":[116],"solution.":[122]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
