sparse-plex
About Sparse-Plex
Getting Started
Demos
Sparse Signal Models
Outline
Sparse solutions for under-determined linear systems
Dictionary based representations
p-norms and sparse signals
Compressible signals
Tools for dictionary analysis
Spark
Coherence
Babel function
Dirac-DCT dictionary
Dirac-Hadamard dictionary
Dictionaries with Wavelet Toolbox
Compressive Sensing
Data Analysis
Data Clustering
Pursuit Algorithms
Subspace Clustering
Dictionary Learning
Set Theory
Linear Algebra
Matrix Algebra
Real Analysis
Convex Analysis
Probability and Random Variables
Geometry
Numerical Optimization
Digital Signal Processing
Wavelets
Detection, Classification and Estimation
ECG
Computational Complexity
Library Classes
Exercises
Scripts
References
Index
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sparse-plex
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Sparse Signal Models
Sparse Signal Models
ΒΆ
Outline
Sparsity
Sparse solutions for under-determined linear systems
Regularization
\(l_2\)
Regularization
Convexity
\(l_1\)
Regularization
\(l_1\)
norm minimization problem as a linear programming problem
Dictionary based representations
Dictionaries
Redundant dictionaries and sparse signals
Sparse approximation problem
Synthesis and analysis
p-norms and sparse signals
l1 , l2 and max norms
Sparse signals
Compressible signals
K-term approximation of general signals
Compressible signals
Tools for dictionary analysis
Spark
Coherence
Lower bounds for spark
Uniqueness-Coherence
Singular values of sub-dictionaries
Embeddings using sub-dictionaries
Babel function
Computation of Babel function
Babel function and spark
Babel function and singular values
Babel function and gram matrix
Quasi incoherent dictionaries
Implementing the Babel function
Dirac-DCT dictionary
Hands-on with Dirac DCT dictionaries
Dirac-Hadamard dictionary
Hands-on with Dirac Hadamard dictionaries
Dictionaries with Wavelet Toolbox
Constructing Dictionaries
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