{"title":"精确里程碑的数学框架。","authors":"David Aristoff, Juan M Bello-Rivas, Ron Elber","doi":"10.1137/15M102157X","DOIUrl":null,"url":null,"abstract":"<p><p>We give a mathematical framework for Exact Milestoning, a recently introduced algorithm for mapping a continuous time stochastic process into a Markov chain or semi-Markov process that can be efficiently simulated and analyzed. We generalize the setting of Exact Milestoning and give explicit error bounds for the error in the Milestoning equation for mean first passage times.</p>","PeriodicalId":88056,"journal":{"name":"","volume":"14 1","pages":"301-322"},"PeriodicalIF":0.0,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1137/15M102157X","citationCount":"20","resultStr":"{\"title\":\"A MATHEMATICAL FRAMEWORK FOR EXACT MILESTONING.\",\"authors\":\"David Aristoff, Juan M Bello-Rivas, Ron Elber\",\"doi\":\"10.1137/15M102157X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>We give a mathematical framework for Exact Milestoning, a recently introduced algorithm for mapping a continuous time stochastic process into a Markov chain or semi-Markov process that can be efficiently simulated and analyzed. We generalize the setting of Exact Milestoning and give explicit error bounds for the error in the Milestoning equation for mean first passage times.</p>\",\"PeriodicalId\":88056,\"journal\":{\"name\":\"\",\"volume\":\"14 1\",\"pages\":\"301-322\"},\"PeriodicalIF\":0.0,\"publicationDate\":\"2016-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1137/15M102157X\",\"citationCount\":\"20\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1137/15M102157X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2016/3/3 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1137/15M102157X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2016/3/3 0:00:00","PubModel":"Epub","JCR":"","JCRName":"","Score":null,"Total":0}
We give a mathematical framework for Exact Milestoning, a recently introduced algorithm for mapping a continuous time stochastic process into a Markov chain or semi-Markov process that can be efficiently simulated and analyzed. We generalize the setting of Exact Milestoning and give explicit error bounds for the error in the Milestoning equation for mean first passage times.