Results 61 to 70 of about 1,225,050 (328)
International Journal of Mathematics and Mathematical Sciences, 2002 We discuss the monad associated with the topology of pointwise convergence. We also study examples of the Eilenberg-Moore algebras for this monad.
Koena R. Nailana
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Pointwise Convergence of Wavelet Expansions
Journal of Approximation Theory, 1995 The author examines the pointwise convergence of orthogonal wavelet expansions. Since the reproducing kernels of the associated multiresolution analysis form a quasi-positive delta sequence the author establishes pointwise uniform convergence on compact sets for continuous functions. This result is extended to distributions at points of continuity. The
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Advanced Intelligent Systems, EarlyView.This paper presents a lidar‐based sensor node design and a rule‐based state observer for edge‐based traffic participant tracking. Unlike other state‐of‐the‐art methods, this state observer enables real‐time, CPU‐only edge processing without relying on machine learning approaches.
Simon Schäfer +2 more
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Some Topological Properties of The Set of Filter Cluster Functions
Kuwait Journal of Science, 2016 In [1], we generalized the concepts of pointwise convergence, uniform convergence and alpha-convergence for sequences of functions on metric spaces by using the filters on N. Then, in [2], we defined the concepts of limit function, F-limit function and F-
Huseyin Albayrak +2 more
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Homogeneous approximation property for continuous shearlet transforms in higher dimensions
Journal of Inequalities and Applications, 2016 This paper is concerned with the generalization of the homogeneous approximation property (HAP) for a continuous shearlet transform to higher dimensions. First, we give a pointwise convergence result on the inverse shearlet transform in higher dimensions.
Yu Su, Wanchang Zhang, Wenting Su
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Advanced Intelligent Systems, EarlyView.Four decades of retinal vessel segmentation research (1982–2025) are synthesized, spanning classical image processing, machine learning, and deep learning paradigms. A meta‐analysis of 428 studies establishes a unified taxonomy and highlights performance trends, generalization capabilities, and clinical relevance.
Avinash Bansal +6 more
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Advanced Intelligent Systems, EarlyView.Physics‐Informed Neural Networks (PINNs) provide a framework for integrating physical laws with data. However, their application to Prognostics and Health Management (PHM) remains constrained by the limited uncertainty quantification (UQ) capabilities.
Ibai Ramirez +4 more
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Large Function Algebras with Certain Topological Properties
Journal of Function Spaces, 2015 Let F be a family of continuous functions defined on a compact interval. We give a sufficient condition so that F∪{0} contains a dense c-generated free algebra; in other words, F is densely c-strongly algebrable.
Artur Bartoszewicz, Szymon Głąb
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Mathematics, 2023 For nonparametric regression estimation, conventional research all focus on isotropic regression function. In this paper, a linear wavelet estimator of anisotropic regression function is constructed, the rate of convergence of this estimator is discussed
Jia Chen, Junke Kou
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Advanced Intelligent Systems, EarlyView.An instance‐level, model‐agnostic explanation of class differentiation is introduced through SHAP‐LCD, linking probability shifts to feature‐wise Shapley contributions. The method operates on tabular and image data and is released in a fully reproducible implementation, offering a transparent way to examine, at each instance, why predictive models ...
Roxana M. Romero Luna +2 more
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