Results 21 to 30 of about 670,956 (337)
Nonlinear magnetic response of the magnetized vacuum to applied electric field [PDF]
, 2012 We find first nonlinear correction to the field, produced by a static charge at rest in a background constant magnetic field. It is quadratic in the charge and purely magnetic.
Gitman, Dmitry M., Shabad, Anatoly E.
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Nonlinear Approximation with Redundant Dictionaries [PDF]
Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005., 2006 In this paper we study nonlinear approximation and data representation with redundant function dictionaries. In particular, approximation with redundant wavelet bi-frame systems is studied in detail. Several results for orthonormal wavelets are generalized to the redundant case. In general, for a wavelet bi-frame system the approximation properties are
Borup, Lasse +2 more
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Echo-State Restricted Boltzmann Machines: A Perspective on Information Compensation
IEEE Access, 2019 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
Математичні Студії, 2021 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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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 ...
Davydov, Oleg
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Nonlinear Methods for Model Reduction
, 2020 The usual approach to model reduction for parametric partial differential equations (PDEs) is to construct a linear space $V_n$ which approximates well the solution manifold $\mathcal{M}$ consisting of all solutions $u(y)$ with $y$ the vector of ...
Bonito, Andrea +5 more
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Mathematics, 2019 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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Mathematics, 2022 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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Mode coupling in the nonlinear response of black holes [PDF]
, 2003 We study the properties of the outgoing gravitational wave produced when a non-spinning black hole is excited by an ingoing gravitational wave. Simulations using a numerical code for solving Einstein's equations allow the study to be extended from the ...
C. Cutler +35 more
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Nonlinear least squares method
Communications, 1999 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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