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Second order optimality conditions
Journal of Discrete Mathematical Sciences and Cryptography, 2000Abstract The aim of the paper is to establish some new second order optimality conditions by means of suitable second order tangent sets.
MARTEIN, LAURA, A. CAMBINI
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Motivational Control of Second-Order Conditioning.
Journal of Experimental Psychology: Animal Behavior Processes, 2005Two experiments examined the motivational specificity of the associations that support 2nd-order conditioning. In the 1st phase of each experiment rats were exposed to 2 visual conditioned stimuli (CSs) paired with either a saline or food pellet unconditioned stimulus (US) prior to exposure to 2nd-order conditioning using 2 auditory CSs, 1 paired with ...
Neil E, Winterbauer, Bernard W, Balleine
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Some determinants of second-order conditioning
Learning & Behavior, 2010In a Pavlovian conditioning situation, an initially neutral stimulus may be made excitatory by nonreinforced presentations in compound with an established conditioned excitor [i.e., second-order conditioning (SOC)]. The established excitor may be either a punctate cue or the training context.
James E, Witnauer, Ralph R, Miller
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Second Order Optimality Conditions Based on Parabolic Second Order Tangent Sets
SIAM Journal on Optimization, 1999Summary: We discuss second order optimality conditions in optimization problems subject to abstract constraints. Our analysis is based on various concepts of second order tangent sets and parametric duality. We introduce a condition, called second order regularity, under which there is no gap between the corresponding second order necessary and second ...
Bonnans, J. Frédéric +2 more
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Second Order Optimality Conditions
2004In this chapter we obtain second order necessary optimality conditions for control problems. As we know, geometrically the study of optimality reduces to the study of boundary of attainable sets (see Sect. 10.2). Consider a control system $$\dot q = {f_u}(q),q \in M,u \in U = \operatorname{int} U \subset {R^m},$$ (20.1) where the state space ...
Andrei A. Agrachev, Yuri L. Sachkov
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Second Order Necessary Conditions in Optimization
SIAM Journal on Control and Optimization, 1984The author considers an optimization problem which contains restrictions in the form of finitely many equalities and of inclusions involving an arbitrary convex body in a normed vector space, i.e. Q is a convex subset of a real vector space, H is a normed vector space, C is a convex body in H, \((\phi_ 0,\phi_ 1,\phi_ 2):Q\to {\mathbb{R}}\times ...
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1995
For a thin dielectric layer, second order transition conditions were developed by Weinstein (1969) and used (Leppington, 1983) to determine the field diffracted by an abrupt change in layer thickness. Since then there have been numerous applications of second (and higher) order boundary conditions in electromagnetics, but some of the solutions are ...
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For a thin dielectric layer, second order transition conditions were developed by Weinstein (1969) and used (Leppington, 1983) to determine the field diffracted by an abrupt change in layer thickness. Since then there have been numerous applications of second (and higher) order boundary conditions in electromagnetics, but some of the solutions are ...
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Second Order Conditions for Pseudo-Convex Functions
SIAM Journal on Applied Mathematics, 1974A necessary condition and a sufficient condition for the pseudo-convexity of a function are given. These conditions involve the Hessian matrix and the gradient vector of the function and present the advantage of reducing the recognition of pseudo-convexity to the checking of the positive semidefiniteness of a matrix. In the case of a quadratic function
Mereau, Pierre, Paquet, Jean-Guy
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1990
Abstract The previous chapter developed sufficient conditions for optimality, using properties like concavity and quasi-concavity. These were defined globally, that is, over the full domain of definition of the functions. For example, a function is called concave if the tangent at any point lies on or above the graph of the function ...
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Abstract The previous chapter developed sufficient conditions for optimality, using properties like concavity and quasi-concavity. These were defined globally, that is, over the full domain of definition of the functions. For example, a function is called concave if the tangent at any point lies on or above the graph of the function ...
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2018
Second-order conditions for both parameter optimization problems and optimal control problems are analysed. A new conjugate point test procedure is discussed and illustrated. For an optimal control problem we will examine the second variation of the cost. The first variation subject to constraints provides first-order NC for a minimum of J.
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Second-order conditions for both parameter optimization problems and optimal control problems are analysed. A new conjugate point test procedure is discussed and illustrated. For an optimal control problem we will examine the second variation of the cost. The first variation subject to constraints provides first-order NC for a minimum of J.
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