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On Robustness of the Normalized Subgradient Method with randomly Corrupted Subgradients
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A multi-task learning approach combining regression and classification tasks for joint feature selection. [PDF]
Cao H +10 more
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Gradient Descent Provably Escapes Saddle Points in the Training of Shallow ReLU Networks. [PDF]
Cheridito P, Jentzen A, Rossmannek F.
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Distances Between Extension Spaces of Phylogenetic Trees. [PDF]
Valdez Cabrera MA, Willis AD.
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Remarks on subgradients and ?-subgradients
Set-Valued Analysis, 1993We show that Rockafellar's maximal monotonicity and maximal cyclical monotonicity theorems for subdifferentials can be reformulated and proved for the family of ɛ-subdifferentials of a proper, lower semicontinuous, convex function defined on a normed space. We also show that the subdifferential map of a lower semicontinuous convex function defined on a
Andrei Verona, Maria Elena Verona
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Incremental Subgradient Methods for Nondifferentiable Optimization [PDF]
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Angelia Nedic, Dimitri P Bertsekas
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Cyclic subgradient projections
Mathematical Programming, 1982A cyclically controlled method of subgradient projections (CSP) for the convex feasibility problem of solving convex inequalities is presented. The features of this method make it an efficient tool in handling huge and sparse problems. A particular application to an image reconstruction problem of emission computerized tomography is mentioned.
Yair Censor, Arnold Lent
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On Convergence Properties of a Subgradient Method
Optimization Methods and Software, 2003In this article, we consider convergence properties of the normalized subgradient method which employs the stepsize rule based on a priori knowledge of the optimal value of the cost function. We show that the normalized subgradients possess additional information about the problem under consideration, which can be used for improving convergence rates ...
I V Konnov
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Validation of subgradient optimization
Mathematical Programming, 1974The "relaxation" procedure introduced by Held and Karp for approximately solving a large linear programming problem related to the traveling-salesman problem is refined and studied experimentally on several classes of specially structured large-scale linear programming problems, and results on the use of the procedure for obtaining exact solutions are ...
Michael Held +2 more
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