{"id":"https://openalex.org/W3159928333","doi":null,"title":"Characterizing nonlinear properties of complex signals across time","display_name":"Characterizing nonlinear properties of complex signals across time","publication_year":2018,"publication_date":"2018-11-01","ids":{"openalex":"https://openalex.org/W3159928333","mag":"3159928333"},"language":"en","primary_location":{"id":"pmh:oai:utoronto.scholaris.ca:1807/91956","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/1807/91956","pdf_url":"https://utoronto.scholaris.ca/bitstreams/4896c195-077e-47fb-817e-ab7d3202eefa/download","source":{"id":"https://openalex.org/S4306400261","display_name":"TSpace (University of Toronto)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I185261750","host_organization_name":"University of Toronto","host_organization_lineage":["https://openalex.org/I185261750"],"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":"Thesis"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://utoronto.scholaris.ca/bitstreams/4896c195-077e-47fb-817e-ab7d3202eefa/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078844719","display_name":"Hamidreza Saghir","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Hamidreza Saghir","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5078844719"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12205","display_name":"Time Series Analysis and Forecasting","score":0.0013000000035390258,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T10745","display_name":"Heart Rate Variability and Autonomic Control","score":0.0010000000474974513,"subfield":{"id":"https://openalex.org/subfields/2705","display_name":"Cardiology and Cardiovascular Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multifractal-analysis","display_name":"multifractal analysis","score":0.9319999814033508},{"id":"https://openalex.org/keywords/multifractal-spectrum","display_name":"multifractal spectrum","score":0.9459999799728394},{"id":"https://openalex.org/keywords/time-series-segmentation","display_name":"time series segmentation","score":0.5609999895095825},{"id":"https://openalex.org/keywords/nonlinear-signal-analysis","display_name":"nonlinear signal analysis","score":0.4350000023841858},{"id":"https://openalex.org/keywords/physiological-time-series","display_name":"physiological time series","score":0.7509999871253967},{"id":"https://openalex.org/keywords/feature-extraction","display_name":"feature extraction","score":0.3919999897480011}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5741574168205261},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3952201306819916},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2664329409599304},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:utoronto.scholaris.ca:1807/91956","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/1807/91956","pdf_url":"https://utoronto.scholaris.ca/bitstreams/4896c195-077e-47fb-817e-ab7d3202eefa/download","source":{"id":"https://openalex.org/S4306400261","display_name":"TSpace (University of Toronto)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I185261750","host_organization_name":"University of Toronto","host_organization_lineage":["https://openalex.org/I185261750"],"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":"Thesis"},{"id":"mag:3159928333","doi":null,"is_oa":false,"landing_page_url":"https://tspace.library.utoronto.ca/handle/1807/91956","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:utoronto.scholaris.ca:1807/91956","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/1807/91956","pdf_url":"https://utoronto.scholaris.ca/bitstreams/4896c195-077e-47fb-817e-ab7d3202eefa/download","source":{"id":"https://openalex.org/S4306400261","display_name":"TSpace (University of Toronto)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I185261750","host_organization_name":"University of Toronto","host_organization_lineage":["https://openalex.org/I185261750"],"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":"Thesis"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3159928333.pdf","grobid_xml":"https://content.openalex.org/works/W3159928333.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W948917087","https://openalex.org/W1529570451","https://openalex.org/W1609307978","https://openalex.org/W1663973292","https://openalex.org/W1674059462","https://openalex.org/W1688143822","https://openalex.org/W1776514298","https://openalex.org/W1783282123","https://openalex.org/W1862394037","https://openalex.org/W1883664232","https://openalex.org/W1971072238","https://openalex.org/W1978840481","https://openalex.org/W1980309199","https://openalex.org/W1990288760","https://openalex.org/W2002634573","https://openalex.org/W2012041061","https://openalex.org/W2025886023","https://openalex.org/W2029030701","https://openalex.org/W2041287404","https://openalex.org/W2053744708","https://openalex.org/W2059851411","https://openalex.org/W2070605229","https://openalex.org/W2071602085","https://openalex.org/W2077204677","https://openalex.org/W2077257134","https://openalex.org/W2078206416","https://openalex.org/W2080843536","https://openalex.org/W2093362058","https://openalex.org/W2093452900","https://openalex.org/W2097757520","https://openalex.org/W2098844365","https://openalex.org/W2099111195","https://openalex.org/W2102568183","https://openalex.org/W2103484453","https://openalex.org/W2112876032","https://openalex.org/W2116002001","https://openalex.org/W2119614961","https://openalex.org/W2120062412","https://openalex.org/W2124428761","https://openalex.org/W2127873098","https://openalex.org/W2144446993","https://openalex.org/W2146424137","https://openalex.org/W2154549730","https://openalex.org/W2160456359","https://openalex.org/W2162273778","https://openalex.org/W2164509517","https://openalex.org/W2164877040","https://openalex.org/W2266355581","https://openalex.org/W2489309872","https://openalex.org/W2613600065","https://openalex.org/W2963957023","https://openalex.org/W3148284042","https://openalex.org/W3176826459","https://openalex.org/W4240843895"],"related_works":["https://openalex.org/W2489309872","https://openalex.org/W4221103640","https://openalex.org/W4394645231","https://openalex.org/W3146145815","https://openalex.org/W2998495417","https://openalex.org/W2501265593","https://openalex.org/W3192028235","https://openalex.org/W7100980732","https://openalex.org/W2272303080","https://openalex.org/W2412481761"],"abstract_inverted_index":{"Many":[0],"real":[1,138,349],"world":[2,139,350],"systems":[3,24,81,92],"consist":[4],"of":[5,32,57,59,69,80,90,102,130,147,154,160,176,191,208,226,230,259,265,281,283,295,316,319,324,339,346,356,363,371],"multiple":[6,317],"parts":[7],"and":[8,54,66,211,252,301,307,329,348,366],"processes":[9],"that":[10,41,62,244,310],"nonlinearly":[11],"interact":[12],"with":[13,29,249],"each":[14],"other":[15],"at":[16],"different":[17],"time":[18,134,140,261,277,284,320],"scales.":[19,135],"Data":[20],"generated":[21],"by":[22,48,144],"such":[23,42],"often":[25],"contain":[26],"self-similar":[27],"structures":[28,210,232,300],"proportional":[30],"scaling":[31,67,118,178,209,220,231,239,267,279,297,299,327,361,374],"statistical":[33,308],"properties":[34,68,280,298],"across":[35,233],"time-scales.":[36],"It":[37],"is":[38,45,120,170,214],"well":[39],"known":[40],"structural":[43],"richness":[44],"not":[46,200],"captured":[47],"conventional":[49],"statistics":[50],"like":[51],"the":[52,117,125,166,181,189,205,246,274,337,340,354,357,367],"mean":[53],"variance.":[55],"Development":[56],"methods":[58],"nonlinear":[60],"dynamics":[61],"quantify":[63,273],"complexity,":[64],"self-similarity,":[65],"empirical":[70],"signals":[71,365],"have":[72],"had":[73],"a":[74,95,145,173,196,224,242,255,260,292,303,344],"profound":[75],"impact":[76],"on":[77,343],"our":[78,88],"understanding":[79,89],"in":[82,107,180,193,217,276,322,359],"various":[83],"scientific":[84],"domains.":[85],"In":[86,235,269],"particular,":[87,236],"physiological":[91,108],"has":[93,150,163],"undergone":[94],"paradigm":[96],"shift":[97],"from":[98,105],"homeostasis":[99],"to":[100,152,172,272,313],"notions":[101],"operation":[103],"far":[104],"equilibrium":[106],"regulatory":[109],"networks.":[110],"A":[111],"commonly":[112],"used":[113],"methodology":[114,256,306,342],"for":[115,187,228,257],"quantifying":[116],"relationships":[119],"fractal":[121],"analysis,":[122],"which":[123,149,169],"estimates":[124],"power":[126],"law":[127],"exponent,":[128],"H":[129],"time-series":[131],"fluctuations":[132],"versus":[133],"However,":[136,195],"many":[137],"series":[141,262,321],"are":[142,185],"determined":[143],"multitude":[146],"exponents":[148,179,192],"led":[151],"development":[153],"multifractal":[155,161,167,197,247],"analysis":[156,162],"methods.":[157],"The":[158],"cornerstone":[159],"traditionally":[164],"been":[165],"spectrum":[168,198,248],"akin":[171],"probability":[174],"density":[175],"all":[177],"signal.":[182],"Multifractal":[183],"spectra":[184],"useful":[186,216],"comparing":[188],"distributions":[190],"signals.":[194],"does":[199],"provide":[201],"any":[202],"information":[203,251],"about":[204],"temporal":[206,250,331,373],"evolution":[207],"therefore,":[212],"it":[213],"less":[215],"studying":[218],"dynamic":[219],"structures.":[221,268,375],"I":[222,237,286,333],"introduce":[223,288],"set":[225,345],"tools":[227],"investigation":[229],"time.":[234],"propose":[238,302],"maps":[240],"as":[241,291],"tool":[243],"augments":[245],"then":[253,287,334],"develop":[254],"partitioning":[258],"into":[263],"segments":[264],"homogeneous":[266],"an":[270],"attempt":[271],"differences":[275],"local":[278,372],"groups":[282,318],"series,":[285],"Holder":[289],"histograms":[290],"better":[293],"representation":[294],"time-localized":[296],"feature":[304],"extraction":[305],"tests":[309],"lend":[311],"themselves":[312],"quantified":[314,368],"comparison":[315],"terms":[323],"determining":[325],"their":[326,330],"regimes":[328],"dynamics.":[332],"empirically":[335],"demonstrate":[336],"application":[338],"developed":[341],"simulated":[347],"datasets.":[351],"Result":[352],"show":[353],"ability":[355],"method":[358],"recovering":[360],"modes":[362],"complex":[364],"discriminative":[369],"capability":[370]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2021-05-10T00:00:00"}
