Geometric structure of high-dimensional data and dimensionality reduction / Jianzhong Wang.
| Author/creator | Wang, Jianzhong |
| Format | Electronic |
| Publication Info | Beijing ; Higher Education Press ; Heidelberg ; New York : Springer, |
| Description | xvi, 356 p. : ill. ; 25 cm. |
| Supplemental Content | Full text available from Springer Books |
| Supplemental Content | Full 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 note | Includes bibliographical references and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2011944174 |
| ISBN | 9787040317046 (Higher Education Press) (alk. paper) |
| ISBN | 7040317044 (Higher Education Press) (alk. paper) |
| ISBN | 9783642274961 (Springer) (alk. paper) |
| ISBN | 364227496X (Springer) (alk. paper) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |