Results 91 to 100 of about 4,084 (221)
Introduction to Nonsmooth Analysis and Optimization
, 2020 Functions that are not differentiable in the classical sense have become a central tool in modern mathematical models for imaging, inverse problems, machine learning, and optimal control of differential equations. These models are increasingly formulated in infinite-dimensional function spaces to be independent of problem size and discretization ...
Clason, Christian, Valkonen, Tuomo
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MathematicsAfter more than a century of unremitting efforts by scholars, nonlinear analysis has found widespread and important applications in many fields that are at the core of many branches of pure and applied mathematics, including functional analysis, fixed ...
Wei-Shih Du, Yousuke Araya
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Lipschitzian Stability in Optimization: The Role of Nonsmooth Analysis
, 1986 The motivations of nonsmooth analysis are discussed. Appiications are given to the sensitivity of optimal vaiues, the interpretation of Lagrange multipliers, and the stabiiity of constraint systems under ...
Rockafellar, R.T.
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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 +3 more
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Nonsmooth Analysis and Optimization
, 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
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Quasidifferentiability in nonsmooth, nonconvex mechanics
, 1995 Summarization: Nonconvex and nonsmooth optimization problems arise in advanced engineering analysis and structural analysis applications. In fact the set of inequality and complementarity relations that describe the structural analysis problem are ...
Σταυρουλακης Γεωργιος(http://users.isc.tuc.gr/~gestavroulakis) +3 more
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Local tomography with nonsmooth attenuation
, 1999 Local tomography for the Radon transform with nonsmooth attenuation is proposed and justified. The main theoretical tool is analysis of singularities of pseudodifferential operators with nonsmooth symbols. Results of numerical testing of local tomography
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First-Order Conditions for C0,1 Constrained vector optimization [PDF]
For a Fritz John type vector optimization problem with C0,1 data we define different type of solutions, give their scalar characterizations applying the so called oriented distance, and give necessary and sufficient first order optimality conditions in ...
Rocca Matteo +2 more
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Multiple Objective Control Problems Via Nonsmooth Analysis
, 1996 : A control system design problem involves making trade-offs among multiple competing objectives. This paper studies two multiple objective control problems via nonsmooth analysis.
P.D. Loewen, Zhongzhi Hu, S.E. Salcudean
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Estimation of Nonparametric Conditional Moment Models with Possibly Nonsmooth Moments [PDF]
This paper studies nonparametric estimation of conditional moment models in which the residual functions could be nonsmooth with respect to the unknown functions of endogenous variables.
Demian Pouzo, Xiaohong Chen
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