博文
- Basis Pursuit
- 热度 1
- From my first blog article- An introduction to sparse representation . We have noticed that the sparse coding for the input datasets is very useful to signal processing and machine learning. Zero norm is the direct solution for the sparse coding problem. However, D.L. Donoho proved that 1 norm ...
- Sparse Representation (Cont.)
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1. Uniqueness Theorem 2.1. For an arbitrary pair of orthogonal bases Ψ , Φ with mutual-coherence μ (A), and for an arbitrary non-zero vector b ∈ IR n with representations α and β correspondingly,the following inequality holds ...
- An introduction to Sparse Representation
- 热度 1
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Preliminaries A full-rank matrix A ∈ Rn×m with n m generates an underdetermined system of linearequations Ax = b having infinitely many solutions.Suppose we seek the sparsest solution,i.e., the one with the fewest nonzero entries. Can it ever be unique? If so, when? As optimizat ...
