Results 11 to 20 of about 30,552 (227)
Analysis of a nonsmooth optimization approach to robust estimation [PDF]
, 2016 In this paper, we consider the problem of identifying a linear map from measurements which are subject to intermittent and arbitarily large errors. This is a fundamental problem in many estimation-related applications such as fault detection, state ...
Laurent Bako, Henrik Ohlsson
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Nonsmooth analysis and optimization on partially ordered vector spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1992 Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector
Thomas W. Reiland
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Nonsmooth Analysis and Optimization [PDF]
, 2017 These lecture notes for a graduate course cover generalized derivative concepts useful in deriving necessary optimality conditions and numerical algorithms for nondifferentiable optimization problems in inverse problems, imaging, and PDE-constrained optimization. Treated are convex functions and subdifferentials, Fenchel duality, monotone operators and
Christian Clason
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Nonstandard Tools for Nonsmooth Analysis [PDF]
Journal of Applied and Industrial Mathematics, 2012 This is an overview of the basic tools of nonsmooth analysis which are grounded on nonstandard models of set theory. By way of illustration we give a criterion for an infinitesimally optimal path of a general discrete dynamic system.
S. S. Kutateladze
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Subdifferentiability spaces and nonsmooth analysis [PDF]
Bulletin of the American Mathematical Society, 1984 The author introduces a notion of a ''subdifferentiability Banach space'' characterized by subdifferentiability properties of the lower semicontinuous nonconvex functions defined on them. Properties of four classes of such spaces are described and three open questions, related to whether any Asplund space has a Fréchet differentiable norm, are stated ...
Александр Давидович Иоффе
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Editorial for the Special Issue on “Recent Advances in Nonsmooth Optimization and Analysis” [PDF]
AlgorithmsIn recent years, nonsmooth optimization and analysis have seen remarkable advancements, significantly impacting various scientific and engineering disciplines [...]
Sorin-Mihai Grad
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Nonsmooth analysis of three-dimensional slipping and rolling in the presence of dry friction. [PDF]
Nonlinear Dyn, 2019 Antali M, Stepan G.
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Smoothed quantile residual life regression analysis with application to the Korea HIV/AIDS cohort study [PDF]
BMC Medical Research MethodologyBackground The residual life of a patient with human immunodeficiency virus (HIV) is of major interest to patients and their physicians. While existing analyses of HIV patient survival focus mostly on data collected at baseline, residual life analysis ...
Soo Min Kim +3 more
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MathematicsThis paper develops a mathematical approach to the analysis of the stability of economic equilibria in nonsmooth models. The λ-Hölder apparatus of subdifferentials is used, which extends the class of systems under study beyond traditional smooth ...
Anna V. Aleshina +3 more
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