Geometric structure of high-dimensional data and dimensionality reduction / Jianzhong Wang.

Author/creator Wang, Jianzhong
Format Electronic
Publication InfoBeijing ; Higher Education Press ; Heidelberg ; New York : Springer,
Descriptionxvi, 356 p. : ill. ; 25 cm.
Supplemental ContentFull text available from Springer Books
Supplemental ContentFull text available from Springer Nature - Springer Computer Science eBooks 2012 English International
Subjects

Contents Pt. 1. Data geometry -- pt. 2. Linear dimensionality reduction -- pt. 3. Nonlinear dimensionality reduction.
Contents Introduction -- Part I. Data geometry. Preliminary calculus on manifolds -- Geometric structure of high-dimensional data -- Data models and structures of kernels of DR -- Part II. Linear dimensionality reduction. Principal component analysis -- Classical multidimensional scaling -- Random projection -- Part III. Nonlinear dimensionality reduction. Isomaps -- Maximum variance unfolding -- Locally linear embedding -- Local tangent space alignment -- Laplacian Eigenmaps -- Hessian locally linear embedding -- Diffusion maps -- Fast algorithms for DR approximation -- Appendix A. Differential forms and operators on manifolds -- Index.
Bibliography noteIncludes bibliographical references and index.
Access restrictionAvailable only to authorized users.
Technical detailsMode of access: World Wide Web
Genre/formElectronic books.
LCCN 2011944174
ISBN9787040317046 (Higher Education Press) (alk. paper)
ISBN7040317044 (Higher Education Press) (alk. paper)
ISBN9783642274961 (Springer) (alk. paper)
ISBN364227496X (Springer) (alk. paper)

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