Sparse approximation

Sparse Approximation (also known as Sparse Representation) theory deals with sparse solutions for systems of linear equations. Techniques for finding these solutions and exploiting them in applications have found wide use in image processing, signal processing, machine learning, medical imaging, and more. Sparse Approximation (also known as Sparse Representation) theory deals with sparse solutions for systems of linear equations. Techniques for finding these solutions and exploiting them in applications have found wide use in image processing, signal processing, machine learning, medical imaging, and more. Consider a linear system of equations x = D α {displaystyle x=Dalpha } , where D {displaystyle D} is an underdetermined m × p {displaystyle m imes p} matrix ( m < p ) {displaystyle (m