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Frontiers in Applied Mathematics and Statistics, 2022 Despite the availability of an abundant literature on singularly perturbed problems, interest toward non-linear problems has been limited. In particular, parameter-uniform methods for singularly perturbed semilinear problems are quasi-non-existent.
Olawale O. Kehinde +2 more
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Uniform convergence of adversarially robust classifiers
European Journal of Applied MathematicsIn recent years, there has been significant interest in the effect of different types of adversarial perturbations in data classification problems. Many of these models incorporate the adversarial power, which is an important parameter with an associated
Rachel Morris, Ryan Murray
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Quasi-uniform convergence topologies on function spaces- Revisited
Applied General Topology, 2017 Let X and Y be topological space and F(X,Y) the set of all functions from X into Y. We study various quasi-uniform convergence topologies U_{A} (A⊆P(X)) on F(X,Y) and their comparison in the setting of Y a quasi-uniform space.
Wafa Khalaf Alqurash, Liaqat Ali Khan
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On the convergence of Ces\'aro means of negative order of Vilenkin-Fourier series
, 2018 In 1971 Onnewer and Waterman establish sufficient condition which guarantees uniform convergence of Vilenkin-Fourier series of continuous function. In the paper we consider different classes of functions of generalized bounded oscilation and in the terms
Shavardenidze, Gvantsa
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, 2014 For a class of martingales, this paper provides a framework on the uniform consistency with broad applicability. The main condition imposed is only related to the conditional variance of the martingale, which holds true for stationary mixing time series,
Chan, Nigel, Wang, Qiying
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A note about almost uniform convergence on D-poset of intuitionistic fuzzy sets [PDF]
Notes on IFSThe aim of this contribution is studying the almost uniform convergence on D-poset of intuitionistic fuzzy sets. We prove the connection between almost everywhere convergence of random variables in Kolmogorov probability space and almost uniform ...
Katarína Čunderlíková
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Almost Uniform Convergence Versus Pointwise Convergence [PDF]
Proceedings of the American Mathematical Society, 1960 In many an example of a function space whose topology is the topology of almost uniform convergence it is observed that the same topology is obtained in a natural way by considering pointwise convergence of extensions of the functions on a larger domain [1; 2].
openaire +1 more source
FEBS Letters, EarlyView.We identified a systemic, progressive loss of protein S‐glutathionylation—detected by nonreducing western blotting—alongside dysregulation of glutathione‐cycle enzymes in both neuronal and peripheral tissues of Taiwanese SMA mice. These alterations were partially rescued by SMN antisense oligonucleotide therapy, revealing persistent redox imbalance as ...
Sofia Vrettou, Brunhilde Wirth
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Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
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Convergence of densities of some functionals of Gaussian processes [PDF]
, 2013 The aim of this paper is to establish the uniform convergence of the densities of a sequence of random variables, which are functionals of an underlying Gaussian process, to a normal density.
Hu, Yaozhong, Lu, Fei, Nualart, David
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