A simple proof of duality theorem for Monge-Kantorovich problem [PDF]
Kodai Mathematical Journal, 2006 We give a simple proof of the duality theorem for the Monge-Kantorovich problem in the Euclidean setting. The selection lemma which is useful in the theory of stochastic optimal controls plays a crucial role.
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Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition
Abstract and Applied Analysis, 2012 Under the hypothesis that the first derivative satisfies some kind of weak Lipschitz conditions, a new semilocal convergence theorem for inexact Newton method is presented.
Xiubin Xu, Yuan Xiao, Tao Liu
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Interpolation for neural-network operators activated with a generalized logistic-type function
Journal of Inequalities and ApplicationsThis paper defines a family of neural-network interpolation operators. The first derivative of generalized logistic-type functions is considered as a density function.
Hande Uyan +3 more
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On the \(L_{p}\)-saturation of the Ye-Zhou operator
Journal of Numerical Analysis and Approximation Theory, 2005 We solve the saturation problem for a class of Ye-Zhou operator \(T_{n}( f , x ) = P_{n}( x ) A_{n} L_{n}( f )\) with suitable sequence of matrices \(\{ A_{n} \}_{n \geq 1}.\) The solution is based on the saturation theorem for the Kantorovich operator ...
Zoltán Finta
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The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]
Calc Var Partial Differ Equ, 2023 Sodini GE.
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Homogenisation of dynamical optimal transport on periodic graphs. [PDF]
Calc Var Partial Differ Equ, 2023 Gladbach P +3 more
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Efficient Discrete Optimal Transport Algorithm by Accelerated Gradient Descent. [PDF]
Proc AAAI Conf Artif Intell, 2022 An D, Lei N, Xu X, Gu X.
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A note on the Kantorovich theorem for Newton iteration
Journal of Computational and Applied Mathematics, 1993 The paper discusses the convergence of the Newton method for a nonsingular solution of the nonlinear equation \(f(x) = 0\) with \(f: X \to Y\) two times differentiable and \(X\), \(Y\) are Banach spaces. Based on the information of the second derivatives of \(f\) at the initial point, the author gives a new criterion for the convergence of the Newton ...
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Soft Quantization Using Entropic Regularization. [PDF]
Entropy (Basel), 2023 Lakshmanan R, Pichler A.
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Approximation Results: Szász–Kantorovich Operators Enhanced by Frobenius–Euler–Type Polynomials
AxiomsThis research focuses on the approximation properties of Kantorovich-type operators using Frobenius–Euler–Simsek polynomials. The test functions and central moments are calculated as part of this study.
Nadeem Rao, Mohammad Farid, Mohd Raiz
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