{"title":"跳跃扩散随机过程最优滤波的最大截面法","authors":"T. Averina, K. Rybakov","doi":"10.1109/OPCS.2019.8880234","DOIUrl":null,"url":null,"abstract":"The paper deals with the optimal filtering problem for random processes in dynamical systems whose mathematical models include stochastic differential equations with a compound Poisson process. The particle method and the maximum cross section method are applied for optimal filtering.","PeriodicalId":288547,"journal":{"name":"2019 15th International Asian School-Seminar Optimization Problems of Complex Systems (OPCS)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Maximum Cross Section Method in Optimal Filtering of Jump-Diffusion Random Processes\",\"authors\":\"T. Averina, K. Rybakov\",\"doi\":\"10.1109/OPCS.2019.8880234\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper deals with the optimal filtering problem for random processes in dynamical systems whose mathematical models include stochastic differential equations with a compound Poisson process. The particle method and the maximum cross section method are applied for optimal filtering.\",\"PeriodicalId\":288547,\"journal\":{\"name\":\"2019 15th International Asian School-Seminar Optimization Problems of Complex Systems (OPCS)\",\"volume\":\"21 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 15th International Asian School-Seminar Optimization Problems of Complex Systems (OPCS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/OPCS.2019.8880234\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 15th International Asian School-Seminar Optimization Problems of Complex Systems (OPCS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/OPCS.2019.8880234","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Maximum Cross Section Method in Optimal Filtering of Jump-Diffusion Random Processes
The paper deals with the optimal filtering problem for random processes in dynamical systems whose mathematical models include stochastic differential equations with a compound Poisson process. The particle method and the maximum cross section method are applied for optimal filtering.