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An Alternative Nonlinear Diffusion Algorithm for Image Denoising and Deblurring

We discuss some applications in image restoration and enhancement, such as denoising and deblurring. The treatment involves a processing algorithm where an image is represented in a continuous frame and is manipulated through suitable time-dependent nonlinear Partial Differential Equations (PDEs). For this purpose, an ad-hoc space discretization scheme
Lorella Fatone, Daniele Funaro
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An alternate view of nonlinear adaptive filters

2010 Conference Record of the Forty Fourth Asilomar Conference on Signals, Systems and Computers, 2010
Nonlinear adaptive filters have been developed mostly using polynomial models such as truncated Volterra series, Weiner and Hammerstein models and utilizing linear adaptive algorithms such as NLMS, RLS, APA.
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Nonlinear effects in alternating-gradient synchrotrons

Annals of Physics, 1958
Abstract Nonlinear effects in alternating-gradient synchrotrons are responsible for resonances in the betatron-oscillation mechanism over and above those which arise in linear theory. These effects are here investigated by means of a perturbation procedure which leads directly to practical formulas.
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A nonlinear alternative to the unit root hypothesis [PDF]

open access: possible, 2003
This paper considers testing the unit root hypothesis against a smooth transition autoregressive model as the alternative. The model specification makes it possible to discriminate between nonstationary random walk and stationary nonlinear processes. Some new limit results are presented, extending earlier work, and two F type tests are proposed.
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Alternative Conditions for an Extremum in Nonlinear Programming

1998
In the first chapter we considered two elementary examples of nonlinear programming problems in the Euclidean plane as illustrations of the alternative conditions for an extremum (see Examples 1.30 and 1.31). The main goal of this chapter is to obtain special alternative conditions for an extremum for a general nonlinear programming problem ...
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"Nonstationary Nonlinear Heteroskedasticity: An Alternative to ARCH" [PDF]

open access: possible, 2000
In this paper, we consider time series with the conditional heteroskedasticities that are given by nonlinear functions of integrated processes. Such time series are said to have nonlinear nonstationary heteroskedasticity (NNH), and the functions generating conditional heterogeneity are called heterogeneity generating functions (HGF's).
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Existence of solution for Kirchhoff type problem in Orlicz-Sobolev spaces Via Leray-Schauder's nonlinear alternative

Discrete and Continuous Dynamical Systems - Series S, 2021
Noureddine Aboutabit   +2 more
exaly  

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