Results 11 to 20 of about 1,963,970 (223)
Analysis and Optimization of Nonsmooth Arches
SIAM Journal on Control and Optimization, 2002 It is our aim to present a new treatment for some classical models of arches and for their optimization. In particular, our approach allows us to study nonsmooth arches, while the standard assumptions from the literature require $W^{3, \infty}$-regularity for the parametric representation.
Sprekels, Jürgen +2 more
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Nonsmooth Optimization and Its Applications
, 2019 Since nonsmooth optimization problems arise in a diverse range of real-world applications, the potential impact of efficient methods for solving such problems is undeniable.
Hosseini, Seyedehsomayeh +2 more
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Data-Driven Nonsmooth Optimization [PDF]
SIAM Journal on Optimization, 2020 In this work, we consider methods for solving large-scale optimization problems with a possibly nonsmooth objective function. The key idea is to first parametrize a class of optimization methods using a generic iterative scheme involving only linear operations and applications of proximal operators.
Sebastian Banert +4 more
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Aggregate subgradient method for nonsmooth DC optimization [PDF]
, 2022 The aggregate subgradient method is developed for solving unconstrained nonsmooth difference of convex (DC) optimization problems. The proposed method shares some similarities with both the subgradient and the bundle methods.
Bagirov Adil M. +4 more
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Deterministic Nonsmooth Nonconvex Optimization
CoRR, 2023 We study the complexity of optimizing nonsmooth nonconvex Lipschitz functions by producing $(δ,ε)$-stationary points. Several recent works have presented randomized algorithms that produce such points using $\tilde O(δ^{-1}ε^{-3})$ first-order oracle calls, independent of the dimension $d$. It has been an open problem as to whether a similar result can
Michael I. Jordan +4 more
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Lateral fligh control design for a highly flexible aircraft using a nonsmooth method [PDF]
, 2009 This paper describes a nonsmooth optimization technique for designing a lateral flight control law for a highly flexible aircraft. Flexible modes and high-dimensional models pose a major challenge to modern control design tools.
H. D. Tuan +7 more
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Essentials of numerical nonsmooth optimization [PDF]
4OR, 2019 AbstractApproximately sixty years ago two seminal findings, the cutting plane and the subgradient methods, radically changed the landscape of mathematical programming. They provided, for the first time, the practical chance to optimize real functions of several variables characterized by kinks, namely by discontinuities in their derivatives.
Gaudioso, Manlio +2 more
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The Adjoint Arc in Nonsmooth Optimization [PDF]
Transactions of the American Mathematical Society, 1991 We extend the theory of necessary conditions for nonsmooth problems of Bolza in three ways: first, we incorporate state constraints of the intrinsic type x (
Loewen, Philip D., Rockafellar, R. T.
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KKT reformulation and necessary conditions for optimality in nonsmooth bilevel optimization [PDF]
, 2014 For a long time, the bilevel programming problem has essentially been considered as a special case of mathematical programs with equilibrium constraints (MPECs), in particular when the so-called KKT reformulation is in question.
Zemkoho, Alain B., Dempe, Stephan
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A collection of nonsmooth Riemannian optimization problems [PDF]
, 2017 Nonsmooth Riemannian optimization is a still scarcely explored subfield of optimization theory that concerns the general problem of minimizing (or maximizing), over a domain endowed with a manifold structure, a real-valued function that is not everywhere
Hosseini, Seyedehsomayeh +1 more
core +2 more sources