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On starting and stopping criteria for nested primal-dual iterations encountered in imaging

par Loris, Ignace
Référence Applied Inverse Problems Conference (08-12/07/2019: Grenoble, France)
Publication Non publié, 2019-07-08

Communication à un colloque

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Résumé :

The importance of an adequate inner loop starting point (as opposed to an inner loop stopping rule) is discussed for a numerical optimization algorithm consisting of nested primal-dual proximal-gradient iterations. While the number of inner iterations is fixed in advance, convergence of the algorithm is guaranteed by virtue of an inner loop warm-start strategy, showing that inner loop ``starting rules" can be just as effective as ``stopping rules'' for guaranteeing convergence.