Solve quadratically constrained overdetermined l1 minimization.

Versione 1.0.0.0 (4,37 KB) da Haim Avron
Solve min ||K * x - f||_1 s.t. ||y - x||_2 <= \epsilon where K has more rows than columns.
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=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

Cita come

Haim Avron (2025). Solve quadratically constrained overdetermined l1 minimization. (https://it.mathworks.com/matlabcentral/fileexchange/25364-solve-quadratically-constrained-overdetermined-l1-minimization), MATLAB Central File Exchange. Recuperato .

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1.0.0.0