{"id":"https://openalex.org/W2006447899","doi":"https://doi.org/10.1145/1233501.1233547","title":"An accurate sparse matrix based framework for statistical static timing analysis","display_name":"An accurate sparse matrix based framework for statistical static timing analysis","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2006447899","doi":"https://doi.org/10.1145/1233501.1233547","mag":"2006447899"},"language":"en","primary_location":{"id":"doi:10.1145/1233501.1233547","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1233501.1233547","pdf_url":null,"source":{"id":"https://openalex.org/S4210177401","display_name":"Digest of technical papers/Digest of technical papers - IEEE/ACM International Conference on Computer-Aided Design","issn_l":"1092-3152","issn":["1092-3152","1558-2434"],"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 2006 IEEE/ACM international conference on Computer-aided design  - ICCAD '06","raw_type":"proceedings-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/A5024292997","display_name":"Anand Ramalingam","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]},{"id":"https://openalex.org/I4210126997","display_name":"Software and Engineering Associates (United States)","ror":"https://ror.org/03qt0ma29","country_code":"US","type":"company","lineage":["https://openalex.org/I4210126997"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Anand Ramalingam","raw_affiliation_strings":["The University of Texas, Austin, TX","Magma Design Automation, Austin, TX 78759, United States#TAB#"],"affiliations":[{"raw_affiliation_string":"The University of Texas, Austin, TX","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Magma Design Automation, Austin, TX 78759, United States#TAB#","institution_ids":["https://openalex.org/I4210126997"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043138186","display_name":"Gi-Joon Nam","orcid":"https://orcid.org/0000-0001-6355-2935"},"institutions":[{"id":"https://openalex.org/I4210156936","display_name":"IBM Research - Austin","ror":"https://ror.org/05gjbbg60","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210156936"]},{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gi-Joon Nam","raw_affiliation_strings":["The University of Texas, Austin, TX","Austin Research Lab, IBM, Austin, TX 78758, United States"],"affiliations":[{"raw_affiliation_string":"The University of Texas, Austin, TX","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Austin Research Lab, IBM, Austin, TX 78758, United States","institution_ids":["https://openalex.org/I4210156936"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060198895","display_name":"Ashish Kumar Singh","orcid":"https://orcid.org/0000-0003-3856-2896"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ashish Kumar Singh","raw_affiliation_strings":["The University of Texas, Austin, TX","Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX"],"affiliations":[{"raw_affiliation_string":"The University of Texas, Austin, TX","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Texas Univ., Austin, TX","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090899796","display_name":"Michael Orshansky","orcid":"https://orcid.org/0000-0002-6223-4748"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Orshansky","raw_affiliation_strings":["The University of Texas, Austin, TX","Department of Electrical and Computer Engineering, The University of Texas, Austin, TX 78712, United States"],"affiliations":[{"raw_affiliation_string":"The University of Texas, Austin, TX","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, The University of Texas, Austin, TX 78712, United States","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046886936","display_name":"Sani Nassif","orcid":"https://orcid.org/0000-0002-5096-4794"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]},{"id":"https://openalex.org/I4210156936","display_name":"IBM Research - Austin","ror":"https://ror.org/05gjbbg60","country_code":"US","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210156936"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sani R. Nassif","raw_affiliation_strings":["The University of Texas, Austin, TX","Austin Research Lab, IBM, Austin, TX 78758, United States"],"affiliations":[{"raw_affiliation_string":"The University of Texas, Austin, TX","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Austin Research Lab, IBM, Austin, TX 78758, United States","institution_ids":["https://openalex.org/I4210156936"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011883763","display_name":"David Z. Pan","orcid":"https://orcid.org/0000-0002-5705-2501"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Z. Pan","raw_affiliation_strings":["The University of Texas, Austin, TX","Department of Electrical and Computer Engineering, The University of Texas, Austin, TX 78712, United States"],"affiliations":[{"raw_affiliation_string":"The University of Texas, Austin, TX","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, The University of Texas, Austin, TX 78712, United States","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5024292997"],"corresponding_institution_ids":["https://openalex.org/I4210126997","https://openalex.org/I86519309"],"apc_list":null,"apc_paid":null,"fwci":5.399,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.96027704,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"231","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11032","display_name":"VLSI and Analog Circuit Testing","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11032","display_name":"VLSI and Analog Circuit Testing","score":1.0,"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"}},{"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":0.9998000264167786,"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/computer-science","display_name":"Computer science","score":0.6802617907524109},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.5484550595283508},{"id":"https://openalex.org/keywords/matrix-algebra","display_name":"Matrix algebra","score":0.4406723380088806},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4224841594696045},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38350194692611694}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6802617907524109},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.5484550595283508},{"id":"https://openalex.org/C2988995629","wikidata":"https://www.wikidata.org/wiki/Q2915729","display_name":"Matrix algebra","level":3,"score":0.4406723380088806},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4224841594696045},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38350194692611694},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1233501.1233547","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1233501.1233547","pdf_url":null,"source":{"id":"https://openalex.org/S4210177401","display_name":"Digest of technical papers/Digest of technical papers - IEEE/ACM International Conference on Computer-Aided Design","issn_l":"1092-3152","issn":["1092-3152","1558-2434"],"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 2006 IEEE/ACM international conference on Computer-aided design  - ICCAD '06","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.5400000214576721,"display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1506342804","https://openalex.org/W2047518460","https://openalex.org/W2098213448","https://openalex.org/W2101264278","https://openalex.org/W2103323734","https://openalex.org/W2112662324","https://openalex.org/W2120566121","https://openalex.org/W2121334524","https://openalex.org/W2127392734","https://openalex.org/W2130601386","https://openalex.org/W2132844001","https://openalex.org/W2136328167","https://openalex.org/W2141222031","https://openalex.org/W2142213725","https://openalex.org/W2145146339","https://openalex.org/W2149342513","https://openalex.org/W2151556394","https://openalex.org/W2152406824","https://openalex.org/W2152491218","https://openalex.org/W2154941994","https://openalex.org/W2163262735","https://openalex.org/W2165740397","https://openalex.org/W2168126808"],"related_works":["https://openalex.org/W2091145045","https://openalex.org/W2064237292","https://openalex.org/W2313431667","https://openalex.org/W2027726470","https://openalex.org/W2370217726","https://openalex.org/W2462574632","https://openalex.org/W3201815179","https://openalex.org/W2018906356","https://openalex.org/W2139081860","https://openalex.org/W2016519758"],"abstract_inverted_index":{"Statistical":[0],"Static":[1],"Timing":[2],"Analysis":[3],"has":[4,98],"received":[5],"wide":[6],"attention":[7,45],"recently":[8],"and":[9,50,90,133],"emerged":[10],"as":[11],"a":[12,60,85],"viable":[13],"technique":[14],"for":[15,65,138],"manufacturability":[16],"analysis.":[17],"To":[18],"be":[19,31],"useful,":[20],"however,":[21],"it":[22],"is":[23,81],"important":[24],"that":[25,73],"the":[26,35,47,52,71,74,91,99,130],"error":[27],"introduced":[28],"in":[29,79],"SSTA":[30],"significantly":[32],"smaller":[33],"than":[34],"manufacturing":[36],"variations":[37],"being":[38],"modeled.":[39],"Achieving":[40],"such":[41],"accuracy":[42],"requires":[43],"careful":[44],"to":[46,51],"delay":[48,116],"models":[49],"algorithms":[53],"applied.":[54],"In":[55],"this":[56],"paper,":[57],"we":[58],"propose":[59],"new":[61],"sparse-matrix":[62,95],"based":[63,83,96],"framework":[64],"accurate":[66,114],"path-based":[67],"SSTA,":[68],"motivated":[69],"by":[70],"observation":[72],"number":[75],"of":[76,87,129],"timing":[77],"paths":[78],"practice":[80],"sub-quadratic":[82],"on":[84,107],"study":[86],"industrial":[88],"circuits":[89],"ISCAS89":[92],"benchmarks.":[93],"Our":[94,141],"formulation":[97],"following":[100],"advantages:":[101],"(a)":[102],"It":[103,112,126],"places":[104],"no":[105],"restrictions":[106],"process":[108],"parameter":[109],"distributions;":[110],"(b)":[111],"embeds":[113],"polynomial-based":[115],"model":[117],"which":[118],"takes":[119,127],"into":[120],"account":[121],"slope":[122],"propagation":[123],"naturally;":[124],"(c)":[125],"advantage":[128],"matrix":[131],"sparsity":[132],"high":[134],"performance":[135],"linear":[136],"algebra":[137],"efficient":[139],"implementation.":[140],"experimental":[142],"results":[143],"are":[144],"very":[145],"promising.":[146]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}