Titlebook: Wavelets and Statistics; Anestis Antoniadis,Georges Oppenheim Book 1995 Springer-Verlag New York 1995 Gaussian process.Hypothese.Markov ra

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CHAFE

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Translation-Invariant De-Noising,r example, Gibbs phenomena in the neighborhood of discontinuities—to the lack of translation invariance of the wavelet basis. One method to suppress such artifacts, termed “cycle spinning” by Coifman, is to “average out” the translation dependence. For a range of shifts, one shifts the data (right o

Breach

Estimating Wavelet Coefficients,studied for three types of observation design: the regular design, when the observations.(x.) are taken on the regular grid . the case of jittered regular grid, when it is only known that for all . the random design case: .are independent and identically distributed random variables on [0,1]. We sho

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Nonparametric Supervised Image Segmentation by Energy Minimization using Wavelets,jected onto a wavelet basis. We assume a white noise model on the observed image. The aim of this paper is to study the asymptotic behavior of non-parametric estimators of the boundary when the number of pixels grows to infinity.

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Nonparametric Supervised Image Segmentation by Energy Minimization using Wavelets,jected onto a wavelet basis. We assume a white noise model on the observed image. The aim of this paper is to study the asymptotic behavior of non-parametric estimators of the boundary when the number of pixels grows to infinity.

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On the Statistics of Best Bases Criteria,e criteria for best bases representation are random variables. The search may thus be very sensitive to noise. In this paper, we characterize the asymptotic statistics of the criteria to gain insight which can in turn, be used to improve on the performance of the analysis. By way of a well-known inf

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Discretized Wavelet Density Estimators for Continuous Time Stochastic Processes,ch are satisfied for rather general diffusion processes, the. . error of the linear wavelet estimator of. constructed from the observation . converges with the rate . when . In this work we study two discretized versions of this estimator, constructed from the dicrete observations . We show that the