Results 11 to 20 of about 8,038 (133)
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
On the functions generated by the general purpose analog computer [PDF]
, 2017 PreprintWe consider the General Purpose Analog Computer (GPAC), introduced by Claude Shannon in 1941 as a mathematical model of Differential Analysers, that is to say as a model of continuous-time analog (mechanical, and later one electronic) machines of
Amaury Pouly +21 more
core +3 more sources
A general approach to posterior contraction in nonparametric inverse problems
, 2017 In this paper we propose a general method to derive an upper bound for the contraction rate of the posterior distribution for nonparametric inverse problems.
Knapik, Bartek, Salomond, Jean-Bernard
core +5 more sources
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
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 Healthcare Materials, EarlyView.This review examines how in vitro electrical and mechanical stimulation modulates wound healing in fibroblasts and keratinocytes. Analyzing over 560 experimental data points, we relate stimulation parameters to proliferation and migration outcomes, evaluate platform designs, and highlight the need for multi‐parameter optimization to advance targeted ...
Matthew K. Burgess +3 more
wiley +1 more source
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