{"title":"変分オートエンコーダによるベイズ更新を用いた非線形地震応答解析モデルの更新手法の提案","authors":"Sangwon LEE, Yuma MATSUMOTO, Taro YAOYAMA, Takenori HIDA, Tatsuya ITOI","doi":"10.3130/aijs.88.1406","DOIUrl":null,"url":null,"abstract":"This paper proposes a nonparametric Bayesian updating method for nonlinear seismic response analysis models considering uncertainties using Variational Auto-Encoder (VAE). The proposed method is used for calculating the likelihood of the parameters for the response analysis model using VAE without any assumptions about the probability distribution. The proposed method is confirmed to successfully update the probability distribution of the parameters of a bilinear single-degree-of-freedom system. To discuss the characteristics of the proposed method, the relationship between the uncertainty due to the lack of information on the nonlinear response and the width of the posterior distribution of the parameters is investigated.","PeriodicalId":38967,"journal":{"name":"Journal of Structural and Construction Engineering","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Structural and Construction Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3130/aijs.88.1406","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
This paper proposes a nonparametric Bayesian updating method for nonlinear seismic response analysis models considering uncertainties using Variational Auto-Encoder (VAE). The proposed method is used for calculating the likelihood of the parameters for the response analysis model using VAE without any assumptions about the probability distribution. The proposed method is confirmed to successfully update the probability distribution of the parameters of a bilinear single-degree-of-freedom system. To discuss the characteristics of the proposed method, the relationship between the uncertainty due to the lack of information on the nonlinear response and the width of the posterior distribution of the parameters is investigated.
期刊介绍:
The Architectural Institute of Japan’s Journal of Structural and Construction Engineering aim to pursue theories for building and maintaining pieces of architecture as well as the cities or areas surrounding them, and to accumulate and systematize the knowledge needed to put those theories into practice. The Journal of Structural and Construction Engineering focuses on research results in the specific fields of “building materials and construction” and “structures.” Accordingly, it compiles articles in the following areas, disseminates relevant information, and hosts discussions: ・Concrete, steel, and inorganic materials ・Timber and organic materials ・Finishing materials ・Construction and quality management ・Applied mechanics ・Loads and reliability on structures ・Building foundations ・Timber structures ・Steel structures ・Reinforced concrete structures ・Shell and spatial structures ・Engineering seismology and structural dynamics ・Other composite structures