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Convex Analysisの二,三の進展について
徹 丸山
- Vol. 70, Iss: 1, pp 97-119
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The article was published on 1977-02-01 and is currently open access. It has received 5933 citations till now.read more
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References
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Journal ArticleDOI
Robust Truss Topology Design via Semidefinite Programming
Aharon Ben-Tal,Arkadi Nemirovski +1 more
TL;DR: A new model of the truss topology design problem is presented, where the rigidity of the resulting truss with respect both to given loading scenarios and small "occasional" loads is optimized.
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Incremental proximal methods for large scale convex optimization
TL;DR: A convergence and rate of convergence analysis of a variety of incremental methods, including some that involve randomization in the selection of components, and applications in a few contexts, including signal processing and inference/machine learning are discussed.
Book ChapterDOI
Gradient-based algorithms with applications to signal-recovery problems.
Amir Beck,Marc Teboulle +1 more
TL;DR: This chapter presents in a self-contained manner recent advances in the design and analysis of gradient-based schemes for specially structured smooth and nonsmooth minimization problems.
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A Generalized Forward-Backward Splitting
TL;DR: This paper introduces the generalized forward-backward splitting algorithm for minimizing convex functions of the form F + G_i, and proves its convergence in infinite dimension, and its robustness to errors on the computation of the proximity operators and of the gradient of $F$.
Journal ArticleDOI
Image Decomposition into a Bounded Variation Component and an Oscillating Component
TL;DR: An algorithm to split an image into a sum u + v of a bounded variation component and a component containing the textures and the noise is constructed, inspired from a recent work of Y. Meyer.