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11/17/2022
On the integrated mean squared error of wavelet density estimation for linear processes
Let {X_n: n∈} be a linear process with density function f(x)∈ L^2(). We ...
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08/17/2022
Shallow neural network representation of polynomials
We show that d-variate polynomials of degree R can be represented on [0,...
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07/17/2022
Nonparametric regression with modified ReLU networks
We consider regression estimation with modified ReLU neural networks in ...
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06/27/2022
Expressive power of binary and ternary neural networks
We show that deep sparse ReLU networks with ternary weights and deep ReL...
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05/20/2021
Neural networks with superexpressive activations and integer weights
An example of an activation function σ is given such that networks with ...
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04/05/2021
Deep neural network approximation of analytic functions
We provide an entropy bound for the spaces of neural networks with piece...
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03/15/2021
Function approximation by deep neural networks with parameters {0,±1/2, ± 1, 2}
In this paper it is shown that C_β-smooth functions can be approximated ...
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02/07/2019
Cramér Type Moderate Deviations for Random Fields
We study the Cramér type moderate deviation for partial sums of random f...
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12/27/2018