Mingxu Su , Feng Xu , Xiaoshu Cai , Kuanfang Ren , Jianqi Shen
{"title":"用光消光法优化粒度反演正则化参数","authors":"Mingxu Su , Feng Xu , Xiaoshu Cai , Kuanfang Ren , Jianqi Shen","doi":"10.1016/j.cpart.2007.04.005","DOIUrl":null,"url":null,"abstract":"<div><p>In particle sizing by light extinction method, the regularization parameter plays an important role in applying regularization to find the solution to ill-posed inverse problems. We combine the generalized cross-validation (GCV) and L-curve criteria with the Twomey–NNLS algorithm in parameter optimization. Numerical simulation and experimental validation show that the resistance of the newly developed algorithms to measurement errors can be improved leading to stable inversion results for unimodal particle size distribution.</p></div>","PeriodicalId":100239,"journal":{"name":"China Particuology","volume":"5 4","pages":"Pages 295-299"},"PeriodicalIF":0.0000,"publicationDate":"2007-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.cpart.2007.04.005","citationCount":"43","resultStr":"{\"title\":\"Optimization of regularization parameter of inversion in particle sizing using light extinction method\",\"authors\":\"Mingxu Su , Feng Xu , Xiaoshu Cai , Kuanfang Ren , Jianqi Shen\",\"doi\":\"10.1016/j.cpart.2007.04.005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In particle sizing by light extinction method, the regularization parameter plays an important role in applying regularization to find the solution to ill-posed inverse problems. We combine the generalized cross-validation (GCV) and L-curve criteria with the Twomey–NNLS algorithm in parameter optimization. Numerical simulation and experimental validation show that the resistance of the newly developed algorithms to measurement errors can be improved leading to stable inversion results for unimodal particle size distribution.</p></div>\",\"PeriodicalId\":100239,\"journal\":{\"name\":\"China Particuology\",\"volume\":\"5 4\",\"pages\":\"Pages 295-299\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.cpart.2007.04.005\",\"citationCount\":\"43\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"China Particuology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1672251507000772\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"China Particuology","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1672251507000772","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimization of regularization parameter of inversion in particle sizing using light extinction method
In particle sizing by light extinction method, the regularization parameter plays an important role in applying regularization to find the solution to ill-posed inverse problems. We combine the generalized cross-validation (GCV) and L-curve criteria with the Twomey–NNLS algorithm in parameter optimization. Numerical simulation and experimental validation show that the resistance of the newly developed algorithms to measurement errors can be improved leading to stable inversion results for unimodal particle size distribution.