| 書(shū)目名稱(chēng) | Principal Manifolds for Data Visualization and Dimension Reduction | | 編輯 | Alexander N. Gorban,Balázs Kégl,Andrei Y. Zinovyev | | 視頻video | http://file.papertrans.cn/756/755299/755299.mp4 | | 叢書(shū)名稱(chēng) | Lecture Notes in Computational Science and Engineering | | 圖書(shū)封面 |  | | 描述 | .In 1901, Karl Pearson invented Principal Component Analysis (PCA). Since then, PCA serves as a prototype for many other tools of data analysis, visualization and dimension reduction: Independent Component Analysis (ICA), Multidimensional Scaling (MDS), Nonlinear PCA (NLPCA), Self Organizing Maps (SOM), etc. The book starts with the quote of the classical Pearson definition of PCA and includes reviews of various methods: NLPCA, ICA, MDS, embedding and clustering algorithms, principal manifolds and SOM. New approaches to NLPCA, principal manifolds, branching principal components and topology preserving mappings are described as well. Presentation of algorithms is supplemented by case studies, from engineering to astronomy, but mostly of biological data: analysis of microarray and metabolite data. The volume ends with a tutorial "PCA and K-means?decipher genome". The book is meant to be useful for practitioners in applied data analysis in life sciences, engineering, physics and chemistry; it will also be valuable to PhD students and researchers in computer sciences, applied mathematics and statistics.. | | 出版日期 | Conference proceedings 2008 | | 關(guān)鍵詞 | Analysis; Clustering; algorithm; algorithms; computer; computer science; data analysis; linear optimization | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-73750-6 | | isbn_softcover | 978-3-540-73749-0 | | isbn_ebook | 978-3-540-73750-6Series ISSN 1439-7358 Series E-ISSN 2197-7100 | | issn_series | 1439-7358 | | copyright | Springer-Verlag Berlin Heidelberg 2008 |
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