{"id":"https://openalex.org/W2162492247","doi":"https://doi.org/10.1109/isqed.2008.4479708","title":"Projection-Based Piecewise-Linear Response Surface Modeling for Strongly Nonlinear VLSI Performance Variations","display_name":"Projection-Based Piecewise-Linear Response Surface Modeling for Strongly Nonlinear VLSI Performance Variations","publication_year":2008,"publication_date":"2008-03-01","ids":{"openalex":"https://openalex.org/W2162492247","doi":"https://doi.org/10.1109/isqed.2008.4479708","mag":"2162492247"},"language":"en","primary_location":{"id":"doi:10.1109/isqed.2008.4479708","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isqed.2008.4479708","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"9th International Symposium on Quality Electronic Design (isqed 2008)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5001262336","display_name":"Xin Li","orcid":"https://orcid.org/0000-0001-8386-1727"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xin Li","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100740019","display_name":"Yu Cao","orcid":"https://orcid.org/0000-0001-6968-1180"},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yu Cao","raw_affiliation_strings":["Department of Electrical Engineering, Arizona State University, Tempe, AZ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Arizona State University, Tempe, AZ, USA","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9489,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74071809,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"108","last_page":"113"},"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/T10558","display_name":"Advancements in Semiconductor Devices and Circuit 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/T10472","display_name":"Semiconductor materials and devices","score":0.9995999932289124,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.7004095315933228},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6724444627761841},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6422361731529236},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.587181568145752},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5472977161407471},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.48603159189224243},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47905194759368896},{"id":"https://openalex.org/keywords/overhead","display_name":"Overhead (engineering)","score":0.4526717960834503},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.416305273771286},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.316175639629364},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09345921874046326},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06867250800132751}],"concepts":[{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.7004095315933228},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6724444627761841},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6422361731529236},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.587181568145752},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5472977161407471},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.48603159189224243},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47905194759368896},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.4526717960834503},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.416305273771286},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.316175639629364},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09345921874046326},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06867250800132751},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isqed.2008.4479708","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isqed.2008.4479708","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"9th International Symposium on Quality Electronic Design (isqed 2008)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.157.4529","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.157.4529","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ece.cmu.edu/~xinli/papers/2008_ISQED_p2m.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306087","display_name":"Semiconductor Research Corporation","ror":"https://ror.org/047z4n946"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1667165204","https://openalex.org/W1985691370","https://openalex.org/W2036488048","https://openalex.org/W2038669746","https://openalex.org/W2044771513","https://openalex.org/W2046245205","https://openalex.org/W2091886411","https://openalex.org/W2111080724","https://openalex.org/W2137626494","https://openalex.org/W2153797910","https://openalex.org/W2155822382","https://openalex.org/W2157210245","https://openalex.org/W2170469301","https://openalex.org/W2539993258","https://openalex.org/W2798909945","https://openalex.org/W4240765598","https://openalex.org/W4241929527","https://openalex.org/W4243645092","https://openalex.org/W4251318441","https://openalex.org/W4292872700","https://openalex.org/W6646644414","https://openalex.org/W6676729638","https://openalex.org/W6683230623","https://openalex.org/W6817474814"],"related_works":["https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W3208509670","https://openalex.org/W2015013940","https://openalex.org/W2109304297","https://openalex.org/W2100864966","https://openalex.org/W2083709218","https://openalex.org/W4323366562"],"abstract_inverted_index":{"Large-scale":[0],"process":[1,126],"fluctuations":[2],"(particularly":[3],"random":[4],"device":[5],"mismatches)":[6],"at":[7],"nanoscale":[8],"technologies":[9],"bring":[10],"about":[11],"high-dimensional":[12,63],"strongly":[13,82],"nonlinear":[14,83],"performance":[15,84],"variations":[16],"that":[17,128],"cannot":[18],"be":[19],"accurately":[20],"captured":[21],"by":[22,108],"linear":[23,38,114],"or":[24],"quadratic":[25,133],"response":[26],"surface":[27],"models.":[28],"In":[29,70],"this":[30],"paper,":[31],"we":[32],"propose":[33],"a":[34,45,62,67,72,96,110,121],"novel":[35],"projection-based":[36],"piecewise":[37],"modeling":[39,46,64],"technique,":[40],"P2M,":[41],"to":[42,60,66,103],"address":[43],"such":[44],"challenge":[47],"with":[48,130,140],"affordable":[49],"computational":[50,142],"cost.":[51],"P2M":[52,135],"borrows":[53],"the":[54,88,93,131],"projection":[55],"pursuit":[56],"idea":[57],"from":[58],"mathematics":[59],"convert":[61],"problem":[65],"low-dimensional":[68],"one.":[69],"addition,":[71],"new":[73],"piecewise-linear":[74,90],"model":[75,94,106],"template":[76],"is":[77,100],"proposed":[78],"and":[79],"tuned":[80],"for":[81],"variations.":[85],"By":[86],"exploiting":[87],"unique":[89],"nature":[91],"of":[92,112],"template,":[95],"robust":[97],"numerical":[98],"algorithm":[99],"further":[101],"developed":[102],"determine":[104],"all":[105],"coefficients":[107],"solving":[109],"sequence":[111],"over-determined":[113],"equations.":[115],"Several":[116],"circuit":[117],"examples":[118],"designed":[119],"in":[120],"commercial":[122],"65":[123],"nm":[124],"CMOS":[125],"demonstrate":[127],"compared":[129],"traditional":[132],"modeling,":[134],"achieves":[136],"2x":[137],"error":[138],"reduction":[139],"negligible":[141],"overhead.":[143]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}