{"id":"https://openalex.org/W2041121839","doi":"https://doi.org/10.1080/002077299292416","title":"Robust recurrent dynamic neural network for solving linear and nonlinear signal representation problems","display_name":"Robust recurrent dynamic neural network for solving linear and nonlinear signal representation problems","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2041121839","doi":"https://doi.org/10.1080/002077299292416","mag":"2041121839"},"language":"en","primary_location":{"id":"doi:10.1080/002077299292416","is_oa":false,"landing_page_url":"https://doi.org/10.1080/002077299292416","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5017547132","display_name":"Marc Karam","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Marc Karam","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017547132"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5098,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.74276489,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"3","first_page":"261","last_page":"274"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10534","display_name":"Structural Health Monitoring Techniques","score":0.9706000089645386,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T11236","display_name":"Control Systems and Identification","score":0.9593999981880188,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.6384366750717163},{"id":"https://openalex.org/keywords/sigmoid-function","display_name":"Sigmoid function","score":0.6304947137832642},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6137182116508484},{"id":"https://openalex.org/keywords/feed-forward","display_name":"Feed forward","score":0.5396857261657715},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5342764854431152},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5304666757583618},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48189741373062134},{"id":"https://openalex.org/keywords/feedforward-neural-network","display_name":"Feedforward neural network","score":0.4813147783279419},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4640933871269226},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.43428462743759155},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40134453773498535},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17007777094841003},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1108468770980835},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.10482397675514221},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.09105196595191956}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6384366750717163},{"id":"https://openalex.org/C81388566","wikidata":"https://www.wikidata.org/wiki/Q526668","display_name":"Sigmoid function","level":3,"score":0.6304947137832642},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6137182116508484},{"id":"https://openalex.org/C38858127","wikidata":"https://www.wikidata.org/wiki/Q5441228","display_name":"Feed forward","level":2,"score":0.5396857261657715},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5342764854431152},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5304666757583618},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48189741373062134},{"id":"https://openalex.org/C47702885","wikidata":"https://www.wikidata.org/wiki/Q5441227","display_name":"Feedforward neural network","level":3,"score":0.4813147783279419},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4640933871269226},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.43428462743759155},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40134453773498535},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17007777094841003},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1108468770980835},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.10482397675514221},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.09105196595191956},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/002077299292416","is_oa":false,"landing_page_url":"https://doi.org/10.1080/002077299292416","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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":0,"referenced_works":[],"related_works":["https://openalex.org/W1521636419","https://openalex.org/W2086501033","https://openalex.org/W2115072676","https://openalex.org/W2041493034","https://openalex.org/W2045727192","https://openalex.org/W4311212821","https://openalex.org/W2102065768","https://openalex.org/W4390752998","https://openalex.org/W1529660427","https://openalex.org/W3121106353"],"abstract_inverted_index":{"This":[0,224],"paper":[1,242],"presents":[2],"a":[3,13,94,160,191],"new":[4],"technique":[5,225],"for":[6,159],"signal":[7,234],"processing":[8,88],"and":[9,31,38,57,142,154,189,201,264,266,271],"representation":[10],"based":[11],"on":[12,194],"continuous":[14],"recurrent":[15,248],"dynamic":[16,249],"neural":[17,43,250],"network":[18,44,251],"(RDNN).":[19],"The":[20,42,71,111,145,210,236],"internal":[21],"structure":[22],"of":[23,27,34,54,64,87,93,97,103,134,147,163,185,208,232,269],"the":[24,68,84,89,101,107,132,137,149,166,173,183,186,196,206,215,246],"RDNN":[25,72,85,113,138,150,167,187,211],"consists":[26],"output":[28],"neurons":[29],"feedback":[30],"feedforward":[32],"arrays":[33],"integrators,":[35],"linear":[36,270],"gains,":[37],"bipolar":[39],"sigmoid":[40],"functions.":[41],"parameters":[45,151,188],"include":[46],"synaptic":[47],"weights":[48],"calculated":[49,60],"as":[50,61,105,123],"mutual":[51],"inner":[52,62],"products":[53,63],"basis":[55],"signals,":[56],"bias":[58],"inputs":[59],"these":[65],"vectors":[66],"with":[67,100,260],"measured":[69],"signal.":[70],"was":[73,114,152,156,169,180,212],"applied":[74],"to":[75,117,220,255],"representing":[76],"motor":[77],"vibration":[78,95,120],"data":[79],"using":[80],"functions":[81],"basis.":[82],"Training":[83],"consisted":[86],"first":[90],"two":[91],"cycles":[92,99,121],"record":[96],"eight":[98],"purpose":[102],"giving":[104],"outputs":[106],"appropriate":[108],"expansion":[109],"coefficients.":[110],"trained":[112],"then":[115],"used":[116],"predict":[118],"succeeding":[119],"considered":[122],"testing":[124],"data.":[125],"Results":[126],"were":[127],"very":[128],"satisfactory,":[129],"especially":[130,204,229],"in":[131,182,205,218,230,240],"presence":[133,207],"noise,":[135],"where":[136],"showed":[139],"little":[140],"sensitivity":[141],"considerable":[143],"robustness.":[144],"effect":[146,193],"varying":[148],"investigated,":[153],"it":[155],"found":[157],"that":[158,245],"certain":[161],"set":[162],"optimal":[164],"parameters,":[165],"performance":[168],"more":[170],"satisfactory":[171],"than":[172],"algebraic":[174],"pseudo-inverse":[175],"method.":[176],"A":[177],"scaling":[178],"factor":[179],"introduced":[181],"expression":[184],"had":[190],"positive":[192],"reducing":[195],"approximation":[197],"error":[198],"between":[199],"original":[200],"reconstructed":[202],"waveforms,":[203],"noise.":[209],"extended":[213],"through":[214],"Newton-Raphson":[216],"algorithm":[217],"order":[219],"handle":[221],"dependent":[222],"nonlinearities.":[223],"turned":[226],"out":[227],"useful":[228],"case":[231],"ill-posed":[233],"problems.":[235],"various":[237],"simulations":[238],"presented":[239],"this":[241],"have":[243],"shown":[244],"proposed":[247],"offers":[252],"an":[253],"alternative":[254],"traditional":[256],"methods":[257],"when":[258],"dealing":[259],"noise":[261],"corrupted":[262],"data,":[263],"ill-conditioned":[265],"uncertain":[267],"systems":[268],"nonlinear":[272],"equations.":[273]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}