Results 11 to 20 of about 1,569,596 (297)
A Survey on Universal Approximation Theorems [PDF]
CoRRThis paper discusses various theorems on the approximation capabilities of neural networks (NNs), which are known as universal approximation theorems (UATs). The paper gives a systematic overview of UATs starting from the preliminary results on function approximation, such as Taylor's theorem, Fourier's theorem, Weierstrass approximation theorem ...
Augustine, Midhun T
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Algorithms and error bounds for multivariate piecewise constant approximation [PDF]
, 2010 We review the surprisingly rich theory of approximation of functions of many vari- ables by piecewise constants. This covers for example the Sobolev-Poincar´e inequalities, parts of the theory of nonlinear approximation, Haar wavelets and tree ...
Oleg Davydov, Davydov, Oleg
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A 5-Approximation for Universal Facility Location. [PDF]
, 2018 In this paper, we propose and analyze a local search algorithm for the Universal facility location problem. Our algorithm improves the approximation ratio of this problem from 5.83, given by Angel et al., to 5. A second major contribution of the paper is that it gets rid of the expensive multi operation that was a mainstay of all previous local search ...
Manisha Bansal +2 more
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Axioms, 2022 ANNs succeed in several tasks for real scenarios due to their high learning abilities. This paper focuses on theoretical aspects of ANNs to enhance the capacity of implementing those modifications that make ANNs absorb the defining features of each ...
Julia García Cabello
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A note on the rates of uniform approximation of fuzzy systems [PDF]
International Journal of Computational Intelligence Systems, 2011 For the fuzzy systems with the kernel-shaped fuzzy sets of if part, we estimate the rates of the uniform approximation for continuous functions. Results are given associatively with the rates of convergence of the sequence (logk/k)a.
Viet Long Hoang
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One bound to rule them all: from Adiabatic to Zeno [PDF]
Quantum, 2022 We derive a universal nonperturbative bound on the distance between unitary evolutions generated by time-dependent Hamiltonians in terms of the difference of their integral actions.
Daniel Burgarth +3 more
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Universality of approximate message passing algorithms [PDF]
Electronic Journal of Probability, 2021 43 pages, minor revision in the ...
Wei-Kuo Chen, Wai-Kit Lam
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Open Computer Science, 2020 Any real continuous bounded function of many variables is representable as a superposition of functions of one variable and addition. Depending on the type of superposition, the requirements for the functions of one variable differ.
Gorchakov Andrei, Mozolenko Vyacheslav
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Model of Gas Turbine Plant with Concentrated Parameters for Analysis of Dynamic Properties Patterns
Energy Engineering and Control Systems, 2023 This article considers a model of gas turbine plants (GTPs) with concentrated parameters for analysing the regularities of the dynamic properties of transients with power changes.
Oleksandr Yavorskyi +3 more
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The Universe of Approximations
Electronic Notes in Theoretical Computer Science, 2003 AbstractThe idea of approximate entailment has been in [13] as a way of modeling the reasoning of an agent with limited resources. They proposed a system in which a family of logics, parameterized by a set of propositional letters, approximates classical logic as the size of the set increases.In this paper, we take the idea further, extending two of ...
Marcelo Finger, Renata Wassermann
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