Results 31 to 40 of about 72,220 (275)
A Microlocal Characterization of Lipschitz Continuity [PDF]
Publications of the Research Institute for Mathematical Sciences, 2018 We study continuous maps between differential manifolds from a microlocal point of view. In particular, we characterize the Lipschitz continuity of these maps in terms of the microsupport of the constant sheaf on their graph. Furthermore, we give lower and upper bounds on the microsupport of the graph of a continuous map and use these bounds to ...
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The Burkill-Cesari Integral on Spaces of Absolutely Continuous Games
International Journal of Mathematics and Mathematical Sciences, 2014 We prove that the Burkill-Cesari integral is a value on a subspace of AC and then discuss its continuity with respect to both the BV and the Lipschitz norm.
F. Centrone, A. Martellotti
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Stancu-Type Generalized q-Bernstein–Kantorovich Operators Involving Bézier Bases
Mathematics, 2022 We construct the Stancu-type generalization of q-Bernstein operators involving the idea of Bézier bases depending on the shape parameter −1≤ζ≤1 and obtain auxiliary lemmas.
Wen-Tao Cheng +2 more
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Lipschitz constrained GANs via boundedness and continuity [PDF]
Neural Computing and Applications, 2020 AbstractOne of the challenges in the study of generative adversarial networks (GANs) is the difficulty of its performance control. Lipschitz constraint is essential in guaranteeing training stability for GANs. Although heuristic methods such as weight clipping, gradient penalty and spectral normalization have been proposed to enforce Lipschitz ...
Liu, Kanglin, Qiu, Guoping
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Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, EarlyView.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
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Some properties of the operators defined by Lupaș
Journal of Numerical Analysis and Approximation Theory, 2014 In the present paper, we show that a subclass of the operators defined by Lupaș [12] preserve properties of the modulus of continuity function and Lipschitz constant and the order of a Lipschitz continuous function.
Ayşegül Erençin +2 more
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Open Mathematics, 2023 In this article, we study a class of pseudomonotone split variational inequality problems (VIPs) with non-Lipschitz operator. We propose a new inertial extragradient method with self-adaptive step sizes for finding the solution to the aforementioned ...
Owolabi Abd-Semii Oluwatosin-Enitan +2 more
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Lipschitz Continuity Guided Knowledge Distillation
2021 IEEE/CVF International Conference on Computer Vision (ICCV), 2021 This work has been accepted by ICCV ...
Shang, Yuzhang +4 more
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, EarlyView.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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Nonlocal Problems for Fractional Differential Equations via Resolvent Operators
International Journal of Differential Equations, 2013 We discuss the continuity of analytic resolvent in the uniform operator topology and then obtain the compactness of Cauchy operator by means of the analytic resolvent method.
Zhenbin Fan, Gisèle Mophou
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