Results 11 to 20 of about 48,613 (216)
Metric Methods in Calculus of Variations [PDF]
Proceedings of the National Academy of Sciences, 1937 1. In each problem of calculus of variations there are four fundamental data: (I) A point-space S or a domain of a point-space. (II) A function φ from which there is derived a functional in a class P of entities of S whose dimensions are ≧ 1. With each element C of & there is associated a number, say λ>φ,(C), by a process of integration of ϕ along C ...
Karl Menger
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The variational method of moments
Journal of the Royal Statistical Society Series B: Statistical Methodology, 2023 Abstract The conditional moment problem is a powerful formulation for describing structural causal parameters in terms of observables, a prominent example being instrumental variable regression. We introduce a very general class of estimators called the variational method of moments (VMM), motivated by a variational minimax reformulation
Bennett, Andrew, Kallus, Nathan
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A Note on Variational Methods [PDF]
Proceedings of the American Mathematical Society, 1964 In this note a new development of the variational method due to G. M. Golusin will be given. The Golusin variational method, found in Geometrische Funktionentheorie [1, pp. 96-105], is established there only after rather lengthy and tedious considerations. Below, the interior variational formula of M. M.
J. T. Poole
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, 2015 This contribution presents derivative-based methods for local sensitivity analysis, called Variational Sensitivity Analysis (VSA). If one defines an output called the response function, its sensitivity to inputs variations around a nominal value can be studied using derivative (gradient) information.
Nodet, Maelle, Vidard, Arthur
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Variational Methods for Normal Integration [PDF]
Journal of Mathematical Imaging and Vision, 2017 The need for an efficient method of integration of a dense normal field is inspired by several computer vision tasks, such as shape-from-shading, photometric stereo, deflectometry, etc. Inspired by edge-preserving methods from image processing, we study in this paper several variational approaches for normal integration, with a focus on non-rectangular
Jean-François Aujol +3 more
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Comment on “Variational Iteration Method for Fractional Calculus Using He’s Polynomials”
Abstract and Applied Analysis, 2012 Recently Liu applied the variational homotopy perturbation method for fractional initial boundary value problems. This note concludes that the method is a modified variational iteration method using He’s polynomials.
Ji-Huan He
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IEEE Access, 2016 This paper discusses a novel conceptual formulation of the fractional-order Euler-Lagrange equation for the fractional-order variational method, which is based on the fractional-order extremum method. In particular, the reverse incremental optimal search
Yi-Fei Pu
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Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations
Journal of Taibah University for Science, 2020 In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method ...
Hijaz Ahmad +3 more
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Shock and Vibration, 2021 Variational mode decomposition is an adaptive nonrecursive signal decomposition and time-frequency distribution estimation method. The improper selection of the decomposition number will cause under decomposition or over decomposition, and the improper ...
Yuanxin Wang
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Multistep Hybrid Extragradient Method for Triple Hierarchical Variational Inequalities
Abstract and Applied Analysis, 2013 We consider a triple hierarchical variational inequality problem (THVIP), that is, a variational inequality problem defined over the set of solutions of another variational inequality problem which is defined over the intersection of the fixed point set ...
Zhao-Rong Kong +3 more
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