Results 1 to 10 of about 2,095,948 (338)
International Journal of Differential Equations, 2021 In this paper, a class of fractional order differential equation expressed with Atangana–Baleanu Caputo derivative with nonlinear term is discussed.
Meryeme Hassouna +2 more
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Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators [PDF]
Nature Machine Intelligence, 2019 It is widely known that neural networks (NNs) are universal approximators of continuous functions. However, a less known but powerful result is that a NN with a single hidden layer can accurately approximate any nonlinear continuous operator.
Lu Lu +4 more
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Journal of Optimization, Differential Equations and Their Applications, 2023 We investigate the optimal control problem with respect to coefficients of the degenerate parabolic variational inequality. Since problems of this type can have the Lavrentieff effect, we consider the optimal control problem in a class of so-called ...
Nina V. Kasimova +2 more
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UMAP: Uniform Manifold Approximation and Projection
Journal of Open Source Software, 2018 Uniform Manifold Approximation and Projection (UMAP) is a dimension reduction technique that can be used for visualisation similarly to t-SNE, but also for general non-linear dimension reduction. UMAP has a rigorous mathematical foundation, but is simple
Leland McInnes +3 more
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The Polis Discourse and the Evolution of Political Thought in Ancient Greece [PDF]
دولتپژوهیExtended AbstractIntroduction Any attempt to review the history of philosophical thought inevitably begins with ancient Greece. As the cradle of political thought, ancient Greece holds an influential position in the history of political thought.
Ehsan Kazemi, Morteza Kazemi
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Approximation by the Extended Neural Network Operators of Kantorovich Type
Mathematics, 2023 Based on the idea of integral averaging and function extension, an extended Kantorovich-type neural network operator is constructed, and its error estimate of approximating continuous functions is obtained by using the modulus of continuity. Furthermore,
Chenghao Xiang +3 more
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UFBoot2: Improving the Ultrafast Bootstrap Approximation
bioRxiv, 2017 The standard bootstrap (SBS), despite being computationally intensive, is widely used in maximum likelihood phylogenetic analyses. We recently proposed the ultrafast bootstrap approximation (UFBoot) to reduce computing time while achieving more unbiased ...
D. T. Hoang +4 more
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Data Based Construction of Kernels for Semi-Supervised Learning With Less Labels
Frontiers in Applied Mathematics and Statistics, 2019 This paper deals with the problem of semi-supervised learning using a small number of training samples. Traditional kernel based methods utilize either a fixed kernel or a combination of judiciously chosen kernels from a fixed dictionary. In contrast, we
Hrushikesh Mhaskar +3 more
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Approximation of the Hilbert transform in the Lebesgue spaces
Journal of Numerical Analysis and Approximation Theory, 2023 The Hilbert transform plays an important role in the theory and practice of signal processing operations in continuous system theory because of its relevance to such problems as envelope detection and demodulation, as well as its use in relating the ...
Rashid Aliev, Lale Alizade
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APPROXIMATION OF UNIVERSAL MAGNETIC CHARACTERISTIC FOR MODELLING ELECTRIC TRACTION MACHINES
Nauka ta progres transportu, 2017 Purpose. The scientific work is aimed to obtain an analytic expression describing universal magnetic characteristic and enabling to take into account the demagnetizing effect of the armature.
A. Yu. Drubetskyi
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