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Topics in Signal Processing

Foundation

1. Algebra
2. Elementary Real Analysis
3. Metric Spaces
4. Linear Algebra
5. Multivariate Calculus
- 5.1. Differentiation
- 5.2. Differentiation in Banach Spaces
6. Geometry
- 6.1. Algebraic Geometry
7. Probability
8. Numerical Optimization
- 8.1. Mathematical Optimization

Convexity

9. Convex Sets and Functions
10. Convex Optimization
11. Subgradient Methods
- 11.1. Basic Subgradient Method
12. Proximal Algorithms
- 12.3. Proximal Mappings and Operators

Signal Processing

13. Signal Theory
14. Detection and Estimation Theory
15. Coding Theory
16. Wavelets

Machine Learning

17. Data Clustering

Sparsity

18. Sparse Signal Models
19. Compressive Sensing
- 19.1. Sensing Matrices
- 19.2. Quantization
20. Sparse Approximation with Dictionaries
21. Sparse Recovery from Compressive Measurements
22. Dictionary Learning
- 22.1. Introduction

Applications

23. Subspace Clustering
- 23.5. Motion Segmentation

Epilogue

Notation
Bibliographic Notes
Index

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Coding Theory

15. Coding Theory#

TO BE DEVELOPED

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16. Wavelets

By Shailesh Kumar
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