{"id":"https://openalex.org/W2478347933","doi":"https://doi.org/10.1109/tcsi.2016.2546389","title":"Combined Parametric and Worst Case Circuit Analysis via Taylor Models","display_name":"Combined Parametric and Worst Case Circuit Analysis via Taylor Models","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2478347933","doi":"https://doi.org/10.1109/tcsi.2016.2546389","mag":"2478347933"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2016.2546389","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2016.2546389","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://biblio.ugent.be/publication/8124558","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011446833","display_name":"Riccardo Trinchero","orcid":"https://orcid.org/0000-0002-1838-2591"},"institutions":[{"id":"https://openalex.org/I4210099850","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Torino","ror":"https://ror.org/01vj6ck58","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210099850"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Riccardo Trinchero","raw_affiliation_strings":["Istituto Nazionale di Fisica Nucleare (INFN)-Sezione di Torino, Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto Nazionale di Fisica Nucleare (INFN)-Sezione di Torino, Torino, Italy","institution_ids":["https://openalex.org/I4210099850"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081766741","display_name":"Paolo Manfredi","orcid":"https://orcid.org/0000-0002-0574-8945"},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Paolo Manfredi","raw_affiliation_strings":["Electromagnetics Group, Department of Information Technology, Ghent University, Gent, Belgium"],"raw_orcid":"https://orcid.org/0000-0002-0574-8945","affiliations":[{"raw_affiliation_string":"Electromagnetics Group, Department of Information Technology, Ghent University, Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010639399","display_name":"Tongyu Ding","orcid":"https://orcid.org/0000-0003-4895-0374"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Tongyu Ding","raw_affiliation_strings":["EMC Group, Department of Electronics and Telecommunications, Politecnico di Torino, Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EMC Group, Department of Electronics and Telecommunications, Politecnico di Torino, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000585561","display_name":"Igor Simone Stievano","orcid":"https://orcid.org/0000-0001-7287-7360"},"institutions":[{"id":"https://openalex.org/I177477856","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508","country_code":"IT","type":"education","lineage":["https://openalex.org/I177477856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Igor S. Stievano","raw_affiliation_strings":["EMC Group, Department of Electronics and Telecommunications, Politecnico di Torino, Torino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"EMC Group, Department of Electronics and Telecommunications, Politecnico di Torino, Torino, Italy","institution_ids":["https://openalex.org/I177477856"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5011446833"],"corresponding_institution_ids":["https://openalex.org/I4210099850"],"apc_list":null,"apc_paid":null,"fwci":2.2316,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.88820426,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"63","issue":"7","first_page":"1067","last_page":"1078"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/remainder","display_name":"Remainder","score":0.8467565774917603},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.6950355172157288},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5882962942123413},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.5338669419288635},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.504292368888855},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.47891056537628174},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4699770510196686},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4598229229450226},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.44297462701797485},{"id":"https://openalex.org/keywords/network-analysis","display_name":"Network analysis","score":0.4423210024833679},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43820616602897644},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43621838092803955},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3426941931247711},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.20807883143424988},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.15252640843391418},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1128380298614502},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10043013095855713},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.09705197811126709}],"concepts":[{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.8467565774917603},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.6950355172157288},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5882962942123413},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.5338669419288635},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.504292368888855},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.47891056537628174},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4699770510196686},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4598229229450226},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.44297462701797485},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.4423210024833679},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43820616602897644},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43621838092803955},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3426941931247711},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.20807883143424988},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.15252640843391418},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1128380298614502},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10043013095855713},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.09705197811126709},{"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tcsi.2016.2546389","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2016.2546389","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Transactions on Circuits and Systems I: Regular Papers","raw_type":"journal-article"},{"id":"pmh:oai:archive.ugent.be:8124558","is_oa":true,"landing_page_url":"https://biblio.ugent.be/publication/8124558","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1549-8328","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:porto.polito.it:2645588","is_oa":true,"landing_page_url":"http://porto.polito.it/2645588/2/jnl_2016_TCAS_TM.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306402038","display_name":"PORTO Publications Open Repository TOrino (Politecnico di Torino)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177477856","host_organization_name":"Politecnico di Torino","host_organization_lineage":["https://openalex.org/I177477856"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:1549-8328","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:archive.ugent.be:8124558","is_oa":true,"landing_page_url":"https://biblio.ugent.be/publication/8124558","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1549-8328","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"score":0.7900000214576721,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321730","display_name":"Fonds Wetenschappelijk Onderzoek","ror":"https://ror.org/03qtxy027"},{"id":"https://openalex.org/F4320322603","display_name":"Universiteit Gent","ror":"https://ror.org/00cv9y106"},{"id":"https://openalex.org/F4320327336","display_name":"Vlaamse regering","ror":null},{"id":"https://openalex.org/F4320327843","display_name":"Istituto Nazionale di Fisica Nucleare","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W143062967","https://openalex.org/W306903215","https://openalex.org/W600310561","https://openalex.org/W636107755","https://openalex.org/W1562719176","https://openalex.org/W1981081776","https://openalex.org/W1998661762","https://openalex.org/W2006423205","https://openalex.org/W2013760665","https://openalex.org/W2021819681","https://openalex.org/W2025604257","https://openalex.org/W2035847111","https://openalex.org/W2037930058","https://openalex.org/W2051243171","https://openalex.org/W2053766530","https://openalex.org/W2071003210","https://openalex.org/W2076223200","https://openalex.org/W2079374105","https://openalex.org/W2095817904","https://openalex.org/W2104355749","https://openalex.org/W2114734140","https://openalex.org/W2115525758","https://openalex.org/W2120062331","https://openalex.org/W2131798279","https://openalex.org/W2131845859","https://openalex.org/W2138409230","https://openalex.org/W2139030761","https://openalex.org/W2140132666","https://openalex.org/W2142443511","https://openalex.org/W2156268697","https://openalex.org/W2156717285","https://openalex.org/W2158223566","https://openalex.org/W2160363596","https://openalex.org/W2160797678","https://openalex.org/W2163842654","https://openalex.org/W2171450065","https://openalex.org/W2172429372","https://openalex.org/W2180832646","https://openalex.org/W2182997761","https://openalex.org/W2314622687","https://openalex.org/W2328051688","https://openalex.org/W3135109640","https://openalex.org/W4242609991","https://openalex.org/W4302088678","https://openalex.org/W6680641309","https://openalex.org/W6683433598","https://openalex.org/W6683513555"],"related_works":["https://openalex.org/W4389072382","https://openalex.org/W130630651","https://openalex.org/W2361691867","https://openalex.org/W2047770421","https://openalex.org/W4306403495","https://openalex.org/W4317669770","https://openalex.org/W4226069104","https://openalex.org/W3021117782","https://openalex.org/W2031465135","https://openalex.org/W1678170666"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,8,38,66,93,118,133,201],"novel":[4,145],"paradigm":[5],"to":[6,62,149,155,184],"generate":[7],"parameterized":[9],"model":[10,55,163],"of":[11,14,20,37,69,100,114,120,138,168,174,188,194,203],"the":[12,18,27,50,70,84,88,98,104,115,121,125,129,139,160,166,169,175,185,195,209],"response":[13,116],"linear":[15,189],"circuits":[16],"with":[17,44],"inclusion":[19],"worst":[21,140],"case":[22,141],"bounds.":[23,142],"The":[24,53,179],"methodology":[25],"leverages":[26],"so-called":[28],"Taylor":[29,40,54,162],"models":[30],"and":[31,111,144,154,171,211,215],"represents":[32],"parameter-dependent":[33],"responses":[34,64],"in":[35,42,83,92,159],"terms":[36],"multivariate":[39,176],"polynomial,":[41],"conjunction":[43],"an":[45,108],"interval":[46,101],"remainder":[47,89,130],"accounting":[48],"for":[49],"approximation":[51],"error.":[52],"representation":[56,113],"is":[57,90,182,198],"propagated":[58,91],"from":[59],"input":[60],"parameters":[61],"circuit":[63,85],"through":[65],"suitable":[67],"redefinition":[68],"basic":[71],"operations,":[72],"such":[73],"as":[74,117],"addition,":[75],"multiplication":[76],"or":[77],"matrix":[78,152],"inversion,":[79],"that":[80],"are":[81,147],"involved":[82],"solution.":[86],"Specifically,":[87],"conservative":[94],"way":[95],"based":[96],"on":[97,128],"theory":[99,197],"analysis.":[102],"While":[103],"polynomial":[105,177],"part":[106],"provides":[107],"accurate,":[109],"analytical":[110],"parametric":[112],"function":[119],"selected":[122],"design":[123],"parameters,":[124],"complementary":[126],"information":[127],"error":[131],"yields":[132],"conservative,":[134],"yet":[135],"tight,":[136],"estimation":[137],"Specific":[143],"solutions":[146],"proposed":[148,180],"implement":[150],"complex-valued":[151],"operations":[153],"overcome":[156],"well-known":[157],"issues":[158],"state-of-the-art":[161],"theory,":[164],"like":[165],"determination":[167],"upper":[170],"lower":[172],"bound":[173],"part.":[178],"framework":[181],"applied":[183],"frequency-domain":[186],"analysis":[187],"circuits.":[190],"An":[191],"in-depth":[192],"discussion":[193],"fundamental":[196],"complemented":[199],"by":[200],"selection":[202],"relevant":[204],"examples":[205],"aimed":[206],"at":[207],"illustrating":[208],"technique":[210],"demonstrating":[212],"its":[213],"feasibility":[214],"strength.":[216]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}