Results 21 to 30 of about 63,156 (266)
Echo-State Restricted Boltzmann Machines: A Perspective on Information Compensation
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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The renewal equation in nonlinear approximation
The family of Markov processes are considered in the article. We study the multidimensional renewal equation in nonlinear approximation. The purpose of the work is to find the limit of renewal function.
O.A. Yarova, Ya.I. Yeleyko
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The B-spline function representation is commonly used for data approximation and trajectory definition, but filter-based methods for nonlinear weighted least squares (NWLS) approximation are restricted to a bounded definition range.
Jens Jauch +3 more
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Fractional Galilei invariant advection–diffusion (GIADE) equation, along with its more general version that is the GIADE equation with nonlinear source term, is discretized by coupling weighted and shifted Grünwald difference approximation formulae and ...
Farzaneh Safari +3 more
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Nonlinear Approximations in Cryptanalysis Revisited
This work studies deterministic and non-deterministic nonlinear approximations for cryptanalysis of block ciphers and cryptographic permutations and embeds it into the well-understood framework of linear cryptanalysis.
Christof Beierle +2 more
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Nonlinear least squares method
The paper deals with a comparison of linear and nonlinear least squares approximation. Its aim is to show that the well known transformations of nonlinear dependencies on linear dependencies do not always give exact results.
Jaromír Máca, Bohus Leitner
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In this paper, we investigate residual-based a posteriori error estimates for the hp version of the finite element approximation of nonlinear parabolic optimal control problems.
Zuliang Lu +3 more
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In this work, the modified Lyapunov-Schmidt reduction is used to find a nonlinear Ritz approximation of Fredholm functional defined by the nonhomogeneous Camassa-Holm equation and Benjamin-Bona-Mahony.
hadeel G. Abd Ali +1 more
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The Theory and Applications of Hölder Widths
We introduce the Hölder width, which measures the best error performance of some recent nonlinear approximation methods, such as deep neural network approximation. Then, we investigate the relationship between Hölder widths and other widths, showing that
Man Lu, Peixin Ye
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The Effects of Padé Numerical Integration in Simulation of Conservative Chaotic Systems
In this paper, we consider nonlinear integration techniques, based on direct Padé approximation of the differential equation solution, and their application to conservative chaotic initial value problems.
Denis Butusov +4 more
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