Open AccessBook
Optimization and nonsmooth analysis
TLDR
The Calculus of Variations as discussed by the authors is a generalization of the calculus of variations, which is used in many aspects of analysis, such as generalized gradient descent and optimal control.Abstract:
1. Introduction and Preview 2. Generalized Gradients 3. Differential Inclusions 4. The Calculus of Variations 5. Optimal Control 6. Mathematical Programming 7. Topics in Analysis.read more
Citations
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Journal ArticleDOI
Outage Capacity of MIMO Poisson Fading Channels
TL;DR: The information outage probability of a shot-noise limited direct detection multiple-input-multiple-output (MIMO) optical channel subject to block fading is considered and an exact characterization of the optimal average conditional duty cycles is provided.
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Convexifactors, generalized convexity, and optimality conditions
Joydeep Dutta,Suresh Chandra +1 more
TL;DR: In this article, the notion of a convexifactor is further studied and quasiconvex and pseudoconvex functions are characterized in terms of convexifactors.
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Generalized Minty Vector Variational-Like Inequalities and Vector Optimization Problems
TL;DR: In this paper, the authors studied the relationship among the generalized Minty vector variational-like inequality problem, generalized Stampacchia vector VI, and vector optimization problem for nondifferentiable and nonconvex functions.
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Semismooth support vector machines
Michael C. Ferris,Todd Munson +1 more
TL;DR: This paper investigates a formulation using the two-norm for the misclassification error that leads to a positive definite quadratic program with a single equality constraint under a duality construction.
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A generalized Newton method for absolute value equations associated with second order cones
TL;DR: It is proved that the SOCAVE is equivalent to a class of second order cone linear complementarity problems (SOCLCP in short) and a generalized Newton method for solving the SOC aVE is proposed and shown to be globally linearly and locally quadratically convergent under suitable assumptions.