A proximal method for identifying active manifolds
نویسندگان
چکیده
منابع مشابه
A proximal method for identifying active manifolds
The minimization of an objective function over a constraint set can often be simplified if the “active manifold” of the constraints set can be correctly identified. In this work we present a simple subproblem, which can be used inside of any (convergent) optimization algorithm, that will identify the active manifold of a “prox-regular partly smooth” constraint set in a finite number of iterations.
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This paper generalizes the proximal point method using a class of Bregman distances to solve convex and quasiconvex optimization problems on complete Riemannian manifolds. We will prove, under standard assumptions, that the sequence generated by our method is well defined and converges to an optimal solution of the problem. Also, we give some examples of Bregman distances in non-Euclidean spaces.
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ژورنال
عنوان ژورنال: Computational Optimization and Applications
سال: 2007
ISSN: 0926-6003,1573-2894
DOI: 10.1007/s10589-007-9139-4