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題名 Dimension reduction and visualization of symbolic interval-valued data using sliced inverse regression
作者 吳漢銘
Wu, Han-Ming
Kao, Chiun-How
Chen, Chun-houh
貢獻者 統計系
關鍵詞 data visualization;dimension reduction;distributional approaches;interval-valued data;simulation studies;sliced inverse regression method;symbolic covariance matrix;symbolic-numerical-symbolic approaches
日期 2020-01
上傳時間 2022-04-12
摘要 Sliced inverse regression (SIR) is a popular slice-based sufficient dimension reduction technique for exploring the intrinsic structure of high-dimensional data. A main goal of dimension reduction is data visualization. This chapter reviews the extension of principal component analysis (PCA) to the interval-valued data, followed by a brief description of the classic SIR. It considers different families of symbolic-numerical-symbolic approaches to extend SIR to the interval-valued data. The chapter evaluates the implemented interval SIR methods and compare the results with those of interval PCA for low-dimensional discriminative and visualization purposes by means of simulation studies. The analysis of interval-valued data usually serves as the basic principle for analyzing other types of symbolic data, such as multi-valued data, modal-valued data, and modal multi-valued data. The advantage of the distributional approaches is that the resulting symbolic covariance matrix fully utilizes all the information in the data.
關聯 Advances in Data Science: Symbolic, Complex and Network Data, John Wiley & Sons, Inc., pp.49-78
資料類型 book/chapter
DOI https://doi.org/10.1002/9781119695110.ch3
dc.contributor 統計系
dc.creator (作者) 吳漢銘
dc.creator (作者) Wu, Han-Ming
dc.creator (作者) Kao, Chiun-How
dc.creator (作者) Chen, Chun-houh
dc.date (日期) 2020-01
dc.date.accessioned 2022-04-12-
dc.date.available 2022-04-12-
dc.date.issued (上傳時間) 2022-04-12-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/139838-
dc.description.abstract (摘要) Sliced inverse regression (SIR) is a popular slice-based sufficient dimension reduction technique for exploring the intrinsic structure of high-dimensional data. A main goal of dimension reduction is data visualization. This chapter reviews the extension of principal component analysis (PCA) to the interval-valued data, followed by a brief description of the classic SIR. It considers different families of symbolic-numerical-symbolic approaches to extend SIR to the interval-valued data. The chapter evaluates the implemented interval SIR methods and compare the results with those of interval PCA for low-dimensional discriminative and visualization purposes by means of simulation studies. The analysis of interval-valued data usually serves as the basic principle for analyzing other types of symbolic data, such as multi-valued data, modal-valued data, and modal multi-valued data. The advantage of the distributional approaches is that the resulting symbolic covariance matrix fully utilizes all the information in the data.
dc.format.extent 129 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Advances in Data Science: Symbolic, Complex and Network Data, John Wiley & Sons, Inc., pp.49-78
dc.subject (關鍵詞) data visualization;dimension reduction;distributional approaches;interval-valued data;simulation studies;sliced inverse regression method;symbolic covariance matrix;symbolic-numerical-symbolic approaches
dc.title (題名) Dimension reduction and visualization of symbolic interval-valued data using sliced inverse regression
dc.type (資料類型) book/chapter
dc.identifier.doi (DOI) 10.1002/9781119695110.ch3
dc.doi.uri (DOI) https://doi.org/10.1002/9781119695110.ch3