Results 11 to 20 of about 29,843 (265)
Variational nonparametric discriminant analysis [PDF]
Computational Statistics & Data Analysis, 2020 Variable selection and classification are common objectives in the analysis of high-dimensional data. Most such methods make distributional assumptions that may not be compatible with the diverse families of distributions data can take. A novel Bayesian nonparametric discriminant analysis model that performs both variable selection and classification ...
Weichang Yu 0001 +2 more
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Variational Methods in Convex Analysis [PDF]
Journal of Global Optimization, 2006 The authors use variational arguments, namely minimization arguments and decoupling mechanisms, to derive some fundamental theorems in convex analysis. Many important result in linear functional analysis can then be deduced as special cases.
Jonathan M. Borwein, Qiji J. Zhu
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Sensitivity Analysis for Variational Inequalities [PDF]
Mathematics of Operations Research, 1992 In this paper we study the behavior of the local solutions of perturbed variational inequalities, governed by perturbations to both the variational inequality function and the feasible region. Assuming appropriate second-order and regularity conditions, we show that the perturbed local solution set is Lipschitz continuous and directionally ...
Yuping Qiu, Thomas L. Magnanti
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Sensitivity Analysis in Variational Inequalities [PDF]
Mathematics of Operations Research, 1988 In this paper we derive conditions for the local uniqueness, continuity and differentiability of a solution of parametric variational inequalities. Our approach is new and has a strong geometric flavor. As an illustration we discuss the sensitivity of the classical complementarity problem.
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Fixed Point Theory and Applications, 2006 We consider a general quasi-variational inequality problem involving nonlinear, nonconvex and nondifferentiable term in uniformly smooth Banach space. Using retraction mapping and fixed point method, we study the existence of solution of general quasi ...
M. I. Bhat, K. R. Kazmi
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Sensors, 2011 We consider a problem of high-resolution array radar/SAR imaging formalized in terms of a nonlinear ill-posed inverse problem of nonparametric estimation of the power spatial spectrum pattern (SSP) of the random wavefield scattered from a remotely sensed
Stewart Santos +2 more
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Variational formulation of resolvent analysis [PDF]
Physical Review Fluids, 2022 The conceptual picture underlying resolvent analysis(RA) is that the nonlinear term in the Navier-Stokes(NS) equations provides an intrinsic forcing to the linear dynamics, a description inspired by control theory. The inverse of the linear operator, defined as the resolvent, is interpreted as a transfer function between the forcing and the velocity ...
Benedikt Barthel +2 more
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Adaptive variational discretization approximation method for parabolic optimal control problems
Journal of Inequalities and Applications, 2020 In this paper, we study variational discretization method for parabolic optimization problems. Firstly, we obtain some convergence and superconvergence analysis results of the approximation scheme.
Yuelong Tang, Yuchun Hua
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Sequential Buckling: A Variational Analysis [PDF]
SIAM Journal on Mathematical Analysis, 2001 Summary: We examine a variational problem from elastic stability theory: a thin elastic strut on elastic foundation. The strut has infinite length, and its lateral deflection is represented by \(u:\mathbb{R}\to\mathbb{R}\). Deformation takes place under conditions of prescribed total shortening, leading to the variational problem \[ \inf \left\{ \frac ...
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Discriminant analysis of variational pulsometry parameters
Российский технологический журнал, 2020 The article is devoted to an important applied problem - the exploration of heart rate variability using linear discriminant analysis. Statistical methods are often used in modern medicine, especially in cardiology.
U. I. Silkina, V. A. Balandin
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