Results 1 to 10 of about 2,924,633 (320)
Multiscale regression on unknown manifolds
Mathematics in Engineering, 2022 We consider the regression problem of estimating functions on $ \mathbb{R}^D $ but supported on a $ d $-dimensional manifold $ \mathcal{M} ~~\subset \mathbb{R}^D $ with $ d \ll D $.
Wenjing Liao +2 more
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Mathematics, 2021 A method for identification of structures of a complex signal and noise suppression based on nonlinear approximating schemes is proposed. When we do not know the probability distribution of a signal, the problem of identifying its structures can be ...
Oksana Mandrikova +2 more
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Incrementally Solving Nonlinear Regression Tasks Using IBHM Algorithm
Journal of Telecommunications and Information Technology, 2023 This paper considers the black-box approximation problem where the goal is to create a regression model using only empirical data without incorporating knowledge about the character of nonlinearity of the approximated function.
Paweł Zawistowski, Jarosław Arabas
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A Functional Characterization of Almost Greedy and Partially Greedy Bases in Banach Spaces
Mathematics, 2021 In 2003, S. J. Dilworth, N. J. Kalton, D. Kutzarova and V. N. Temlyakov introduced the notion of almost greedy (respectively partially greedy) bases. These bases were characterized in terms of quasi-greediness and democracy (respectively conservativeness)
Pablo Manuel Berná, Diego Mondéjar
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Nonlinear Bivariate Bernstein–Chlodowsky Operators of Maximum Product Type
Journal of Mathematics, 2022 The positive nonlinear operators with maximum and product were introduced by Bede. In this study, nonlinear maximum product type of bivariate Bernstein–Chlodowsky operators is defined and the approximation properties are investigated with the help of new
Özge Özalp Güller +2 more
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Deep Residual Learning for Nonlinear Regression
Entropy, 2020 Deep learning plays a key role in the recent developments of machine learning. This paper develops a deep residual neural network (ResNet) for the regression of nonlinear functions.
Dongwei Chen +3 more
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Complexity, 2022 In this paper, some novel analytical and numerical techniques are introduced for solving and analyzing nonlinear second-order ordinary differential equations (ODEs) that are associated to some strongly nonlinear oscillators such as a quadratically damped
Alvaro H. Salas +3 more
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Echo-State Restricted Boltzmann Machines: A Perspective on Information Compensation
IEEE Access, 2019 Feature learning has been introduced in the modeling of echo state networks (ESNs). However, the procedure of feature learning is generally accompanied by certain information loss.
Xiaochuan Sun +3 more
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On the stability of a class of essentially nonlinear difference systems
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The problem of the zero solution stability for a certain class of essentially nonlinear difference systems is studied. Theorems on the stability by the inhomogeneous approximation are proved.
A. A. Sultanbekov
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Nonlinear Approximation by $q$-Favard-Sz{\'a}sz-Mirakjan Operators of Max-Product Kind
Communications in Advanced Mathematical Sciences, 2023 In this study, nonlinear $q$-Favard-Sz{\'a}sz-Mirakjan operators of max-product kind are defined and approximation properties of these operators are investigated. Classical approximation and $A$-statistical approximation theorems are given.
Ecem Acar, Döne Karahan
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