{"title":"功能平滑与应用到VLSI布局","authors":"R. Baldick, A. Kahng, A. Kennings, I. Markov","doi":"10.1109/ASPDAC.1999.760001","DOIUrl":null,"url":null,"abstract":"We present approximations to non-smooth continuous functions by differentiable functions which are parameterized by a scalar /spl beta/>0 and have convenient limit behavior as /spl beta//spl rarr/0. For standard numerical methods, this translates into a tradeoff between solution quality and speed. We show the utility of our approximations for wirelength and delay estimations used by analytical placers for VLSI layout. Our approximations lead to more \"solvable\" problems.","PeriodicalId":201352,"journal":{"name":"Proceedings of the ASP-DAC '99 Asia and South Pacific Design Automation Conference 1999 (Cat. No.99EX198)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Function smoothing with applications to VLSI layout\",\"authors\":\"R. Baldick, A. Kahng, A. Kennings, I. Markov\",\"doi\":\"10.1109/ASPDAC.1999.760001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present approximations to non-smooth continuous functions by differentiable functions which are parameterized by a scalar /spl beta/>0 and have convenient limit behavior as /spl beta//spl rarr/0. For standard numerical methods, this translates into a tradeoff between solution quality and speed. We show the utility of our approximations for wirelength and delay estimations used by analytical placers for VLSI layout. Our approximations lead to more \\\"solvable\\\" problems.\",\"PeriodicalId\":201352,\"journal\":{\"name\":\"Proceedings of the ASP-DAC '99 Asia and South Pacific Design Automation Conference 1999 (Cat. No.99EX198)\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-01-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the ASP-DAC '99 Asia and South Pacific Design Automation Conference 1999 (Cat. No.99EX198)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ASPDAC.1999.760001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the ASP-DAC '99 Asia and South Pacific Design Automation Conference 1999 (Cat. No.99EX198)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ASPDAC.1999.760001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Function smoothing with applications to VLSI layout
We present approximations to non-smooth continuous functions by differentiable functions which are parameterized by a scalar /spl beta/>0 and have convenient limit behavior as /spl beta//spl rarr/0. For standard numerical methods, this translates into a tradeoff between solution quality and speed. We show the utility of our approximations for wirelength and delay estimations used by analytical placers for VLSI layout. Our approximations lead to more "solvable" problems.