Results 161 to 170 of about 9,704 (289)
Lipschitz functions and convolution
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Approximation of continuous functions by Lipschitz functions
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ABSTRACT While recent Anderson acceleration (AA) convergence theory [Pollock et al., IMA Num. An., 2021] requires that the AA optimization norm match the Hilbert space norm associated with the fixed point operator, in implementations the ℓ2$$ {\ell}^2 $$ norm is the most common choice. So far there is little research done regarding this discrepancy. To
Elizabeth Hawkins, Leo G. Rebholz
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Is the maximal function of a Lipschitz function continuous?
We examine the action of the maximal operator \(M\) on Lipschitz and Hölder functions in the context of homogeneous spaces. It is shown that in spaces satisfying a so-called annular decay property, \(M\) maps spaces of Hölder type to other spaces of Hölder type (the Hölder index is preserved if small enough).
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Geometric Planted Matchings Beyond the Gaussian Model
ABSTRACT We consider the problem of recovering an unknown matching between a set of n$$ n $$ randomly placed points in ℝd$$ {\mathbb{R}}^d $$ and random perturbations of these points. This can be seen as a model for particle tracking and more generally, entity resolution.
Lucas R. Schwengber, Roberto I. Oliveira
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Fixed-point topology meets fractal memory: a Kutumba-stabilized framework for nonlocal fractal-fractional dynamics. [PDF]
Devi RA +6 more
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Maximum Induced Trees and Forests of Bounded Degree in Random Graphs
ABSTRACT The asymptotic behavior of the maximum sizes of induced trees and forests has been studied extensively in the last few decades, though the overall picture is far from being complete. In this paper, we close several significant gaps: (1) We prove 2‐point concentration of the maximum sizes of an induced forest and an induced tree with maximum ...
Margarita Akhmejanova +2 more
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Parabolic PDEs with Dynamic Data under a Bounded Slope Condition. [PDF]
Bögelein V, Duzaar F, Treu G.
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Robust Bernoulli Mixture Models for Credit Portfolio Risk
ABSTRACT This paper presents comparison results and establishes risk bounds for credit portfolios within classes of Bernoulli mixture models, assuming conditionally independent defaults that are stochastically increasing in a common risk factor. We provide simple and interpretable conditions on conditional default probabilities that imply a comparison ...
Jonathan Ansari, Eva Lütkebohmert
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Generalization bounds for a generator-regularized InfoGAN-inspired adversarial objective. [PDF]
Hasan M, Muia MN, Islam MM.
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