Solve quadratically constrained overdetermined l1 minimization.
=Solve quadratically constrained overdetermined l1 minimization:
min ||K * x - f||_1 s.t. ||y - x||_2 <= \epsilon
using a primal interior point method (using a log barrier).
Sparse linear systems are solved using a specialized preconditioning scheme.
Use of Blendenpik and SpTriSolve is suggested (both are available through File Exchange).
Algorithm is described in Section 5 of:
"L1-sparse reconstruction of sharp point set surfaces"
http://www.cs.tau.ac.il/~haima/l1sparse-tog-final.pdf
also based (partially) on l1-Magic
Cite As
Haim Avron (2024). Solve quadratically constrained overdetermined l1 minimization. (https://www.mathworks.com/matlabcentral/fileexchange/25364-solve-quadratically-constrained-overdetermined-l1-minimization), MATLAB Central File Exchange. Retrieved .
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- Mathematics and Optimization > Optimization Toolbox > Nonlinear Optimization >
- Mathematics and Optimization > Optimization Toolbox > Quadratic Programming and Cone Programming >
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