High Dimensional Statistics: A Non Asymptotic Viewpoint
Material type:
TextPublication details: Cambridge Cambridge University Press 2019Description: 552pISBN: - 9781108498029
- 519.5 WAI
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Book
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NIMA Knowledge Centre | 9th Floor Reading Zone | General | 519.5 WAI (Browse shelf(Opens below)) | Available | M0036033 |
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| 519.5 TUN Models for Dependent Time Series | 519.5 VER Business Statistics | 519.5 VIK Regression, Anova and the General Linear Model: A Statistics Primer | 519.5 WAI High Dimensional Statistics: A Non Asymptotic Viewpoint | 519.5 WAL Statistics for Business | 519.5 WAL Statistics for Business | 519.5 WAR Statistics for the Social Sciences: A General Linear Model Approach |
1. Introduction
2. Basic tail and concentration bounds
3. Concentration of measure
4. Uniform laws of large numbers
5. Metric entropy and its uses
6. Random matrices and covariance estimation
7. Sparse linear models in high dimensions
8. Principal component analysis in high dimensions
9. Decomposability and restricted strong convexity
10. Matrix estimation with rank constraints
11. Graphical models for high-dimensional data
12. Reproducing kernel Hilbert spaces
13. Nonparametric least squares
14. Localization and uniform laws
15. Minimax lower bound
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