{"id":"https://openalex.org/W2104785869","doi":"https://doi.org/10.1145/1278480.1278541","title":"Non-linear statistical static timing analysis for non-Gaussian variation sources","display_name":"Non-linear statistical static timing analysis for non-Gaussian variation sources","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2104785869","doi":"https://doi.org/10.1145/1278480.1278541","mag":"2104785869"},"language":"en","primary_location":{"id":"doi:10.1145/1278480.1278541","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1278480.1278541","pdf_url":null,"source":{"id":"https://openalex.org/S4210231368","display_name":"Proceedings - ACM IEEE Design Automation Conference","issn_l":"0738-100X","issn":["0738-100X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th annual conference on Design automation - DAC '07","raw_type":"proceedings-article"},"type":"conference-abstract","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/A5104049811","display_name":"Lerong Cheng","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lerong Cheng","raw_affiliation_strings":["Univ. of California, Los Angeles, CA","[Univ. of California Los Angeles, Los Angeles]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. of California, Los Angeles, CA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"[Univ. of California Los Angeles, Los Angeles]","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030156276","display_name":"Jinjun Xiong","orcid":"https://orcid.org/0000-0002-2620-4859"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jinjun Xiong","raw_affiliation_strings":["IBM Research Center, Yorktown Heights, NY","IBM Research Center, Yorktown Heights, NY#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Research Center, Yorktown Heights, NY","institution_ids":["https://openalex.org/I1341412227"]},{"raw_affiliation_string":"IBM Research Center, Yorktown Heights, NY#TAB#","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008695429","display_name":"Lei He","orcid":"https://orcid.org/0000-0002-5266-3805"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lei He","raw_affiliation_strings":["Univ. of California, Los Angeles, CA","University of California, Los Angeles. CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. of California, Los Angeles, CA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"University of California, Los Angeles. CA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"250","last_page":"250"},"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":1.0,"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":1.0,"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":1.0,"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.7044774889945984},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6776536107063293},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6658036708831787},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.5487490892410278},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.532400906085968},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.49347007274627686},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.4442099332809448},{"id":"https://openalex.org/keywords/static-timing-analysis","display_name":"Static timing analysis","score":0.4395730197429657},{"id":"https://openalex.org/keywords/dependency","display_name":"Dependency (UML)","score":0.43074730038642883},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25682419538497925},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21170395612716675},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09853079915046692}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.7044774889945984},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6776536107063293},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6658036708831787},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.5487490892410278},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.532400906085968},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.49347007274627686},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.4442099332809448},{"id":"https://openalex.org/C93682380","wikidata":"https://www.wikidata.org/wiki/Q2025226","display_name":"Static timing analysis","level":2,"score":0.4395730197429657},{"id":"https://openalex.org/C19768560","wikidata":"https://www.wikidata.org/wiki/Q320727","display_name":"Dependency (UML)","level":2,"score":0.43074730038642883},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25682419538497925},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21170395612716675},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09853079915046692},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","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/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1278480.1278541","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1278480.1278541","pdf_url":null,"source":{"id":"https://openalex.org/S4210231368","display_name":"Proceedings - ACM IEEE Design Automation Conference","issn_l":"0738-100X","issn":["0738-100X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th annual conference on Design automation - DAC '07","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1498699371","https://openalex.org/W2112662324","https://openalex.org/W2126564504","https://openalex.org/W2132844001","https://openalex.org/W2141222031","https://openalex.org/W2142213725","https://openalex.org/W2163262735","https://openalex.org/W2163430596","https://openalex.org/W2165740397","https://openalex.org/W2166751677","https://openalex.org/W2179342682"],"related_works":["https://openalex.org/W2386430105","https://openalex.org/W2356521405","https://openalex.org/W2038534795","https://openalex.org/W2384358604","https://openalex.org/W1567829292","https://openalex.org/W3001063351","https://openalex.org/W3196905815","https://openalex.org/W2351370765","https://openalex.org/W3133811809","https://openalex.org/W2321594810"],"abstract_inverted_index":{"Existing":[0],"statistical":[1,66],"static":[2],"timing":[3,85,139],"analysis":[4],"(SSTA)":[5],"techniques":[6],"suffer":[7],"from":[8],"limited":[9],"modeling":[10],"capability":[11],"by":[12],"using":[13],"a":[14,44],"linear":[15,106],"delay":[16,52,133,143],"model":[17],"with":[18,91,144],"Gaussian":[19],"distribution,":[20],"or":[21,35,79],"have":[22],"scalability":[23],"problems":[24],"due":[25],"to":[26,30,48,63,94,123],"expensive":[27],"operations":[28,68],"involved":[29],"handle":[31,49],"non-Gaussian":[32,55,128],"variation":[33,56,92,109,129],"sources":[34,57,93,110,130],"non-linear":[36],"delays.":[37],"To":[38],"overcome":[39],"these":[40],"limitations,":[41],"we":[42],"propose":[43],"novel":[45],"SSTA":[46],"technique":[47],"both":[50,108],"nonlinear":[51,132],"dependency":[53],"and":[54,72,111,131],"simultaneously.":[58],"We":[59,97],"develop":[60],"efficient":[61],"algorithms":[62],"perform":[64],"all":[65,138],"atomic":[67],"(such":[69],"as":[70],"max":[71],"add)":[73],"efficiently":[74],"via":[75],"either":[76],"closed-form":[77],"formulas":[78],"one-dimensional":[80],"lookup":[81],"tables.":[82],"The":[83],"resulting":[84],"quantity":[86],"provably":[87],"preserves":[88],"the":[89,95,100],"correlation":[90],"third-order.":[96],"prove":[98],"that":[99],"complexity":[101],"of":[102,141],"our":[103,115,135],"algorithm":[104,116],"is":[105],"in":[107],"circuit":[112,142],"sizes,":[113],"hence":[114],"scales":[117],"well":[118],"for":[119,127],"large":[120],"designs.":[121],"Compared":[122],"Monte":[124],"Carlo":[125],"simulation":[126],"models,":[134],"approach":[136],"predicts":[137],"characteristics":[140],"less":[145],"than":[146],"2%":[147],"error.":[148]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":5}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}