Results 11 to 20 of about 8,010 (140)
Approximation properties of some two-layer feedforward neural networks [PDF]
Opuscula Mathematica, 2007 In this article, we present a multivariate two-layer feedforward neural networks that approximate continuous functions defined on \([0,1]^d\). We show that the \(L_1\) error of approximation is asymptotically proportional to the modulus of continuity of ...
Michał A. Nowak
doaj
AxiomsIn this article, we introduce, for the first time, multivariate symmetrized and perturbed hyperbolic tangent-activated convolution-type operators in three forms.
George A. Anastassiou
doaj +1 more source
AxiomsThis study quantitatively approximates the unit operator using three types of multivariate, overactivated, and spiked convolution operators. The core of these operators is a multivariate “cusp” kernel, which acts as a novel, compact-support activation ...
George A. Anastassiou
doaj +1 more source
Skorokhod's M1 topology for distribution-valued processes [PDF]
, 2016 Skorokhod's M1 topology is defined for c\`adl\`ag paths taking values in the space of tempered distributions (more generally, in the dual of a countably Hilbertian nuclear space).
Ledger, Sean
core +3 more sources
Asymptotics of empirical copula processes under non-restrictive smoothness assumptions
, 2012 Weak convergence of the empirical copula process is shown to hold under the assumption that the first-order partial derivatives of the copula exist and are continuous on certain subsets of the unit hypercube.
Segers, Johan
core +1 more source
A unique polar representation of the hyperanalytic signal
, 2014 The hyperanalytic signal is the straight forward generalization of the classical analytic signal. It is defined by a complexification of two canonical complex signals, which can be considered as an inverse operation of the Cayley-Dickson form of the ...
Huang, Boqiang, Kunoth, Angela
core +1 more source
Regularization of subsolutions in discrete weak KAM theory [PDF]
, 2012 We expose different methods of regularizations of subsolutions in the context of discrete weak KAM theory. They allow to prove the existence and the density of $C^{1,1}$ subsolutions.
Ambrosio +10 more
core +4 more sources
Multivariate error function based neural network approximations
Journal of Numerical Analysis and Approximation Theory, 2014 Here we present multivariate quantitative approximations of real and complex valued continuous multivariate functions on a box or \(\mathbb{R}^{N},\) \(N\in \mathbb{N}\), by the multivariate quasi-interpolation, Baskakov type and quadrature type neural ...
George A. Anastassiou
doaj +2 more sources
Extremalis problémák többváltozós és súlyozott polinomokra = Extremal problems for multivariate and weighted polynomials [PDF]
, 2009 Jól ismert hogy a többváltozós polinomok sűrűek a d-dimenziós kompakt halmazokon folytonos függvények terében. A többváltozós polinomok egy fontos részhalmaza a homogén polinomok osztálya.
Kroó, András, Szabados, József
core
Advanced Materials, EarlyView.This review provides an overview of triboelectric nanogenerator (TENG)–based biomedical applications by classifying studies into electronic and ionic systems across attachable and implantable platforms. It summarizes key material choices, device structures, and working mechanisms that characterize current TENG‐based research, and outlines six future ...
Kyongtae Choi +12 more
wiley +1 more source