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Titlebook: Bayesian Inference in Wavelet-Based Models; Peter Müller,Brani Vidakovic Book 1999 Springer Science+Business Media New York 1999 Markov mo

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Applications of the Proposed Techniques, develop a Bayesian-based approach to the best basis problem. As illustrated by applications to signal denoising, this leads to reduced estimation errors while preserving the classical tree search algorithm.
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0930-0325 ts: The first two papers introduce basic concepts. Chapters in Part II explore different approaches to prior modeling, using independent priors. Papers in the Part III discuss decision theoretic aspects of such prior models. In Part IV, some aspects of prior modeling using priors that account for de
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Empirical Bayes Estimation in Wavelet Nonparametric Regressiono estimate the hyperparameters for each level of the wavelet decomposition, bypassing the usual difficulty of hyperparameter specification in the hierarchical model. The EB approach is computationally competitive with standard methods and offers improved MSE performance over several Bayes and classical estimators in a wide variety of examples.
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https://doi.org/10.1007/978-3-030-64819-0ractable settings. For the RDP models, in which a multi-scale structure is achieved through simple summing of pairs of “children” into “parents,” it is observed that a sufficient condition for a particularly tractable model is that the “parent” serve as a . for the distribution of the “children.”
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Rapid 3D Ear Indexing and Recognition,esses. Given discrete measurements from a long-memory process, a wavelet transform leads to a set of wavelet coefficients. We show how the statistical properties of the coefficients depend on the process underlying the data and how a Bayesian approach gives rise to a natural way of including in the model information about the process itself.
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