نتایج جستجو برای: bayesian shrinkage thresholding

تعداد نتایج: 101771  

Journal: :IEEE Transactions on Medical Imaging 2021

Inverse problems are essential to imaging applications. In this letter, we propose a model-based deep learning network, named FISTA-Net, by combining the merits of interpretability and generality Fast Iterative Shrinkage/Thresholding Algorithm (FISTA) strong regularization tuning-free advantages data-driven neural network. By unfolding FISTA into architecture FISTA-Net consists multiple gradien...

Journal: :IEEE Access 2023

In this work a new thresholding function referred to as ’mixture model shrinkage’ (MMS) based on the minimization of convex cost is proposed. Normally, functions underestimate larger signal amplitudes during de-noising process. The proposed more flexible shrinkage it solves underestimation problem greater extent and thus efficiently de-noises without affecting amplitudes. Expectation (EM) algor...

1999
Albert Cohen Ronald DeVore Gerard Kerkyacharian Dominique Picard

In recent years, various nonlinear methods have been proposed and deeply investigated in the context of nonparametric estimation: shrinkage methods [21], locally adaptive bandwidth selection [16] and wavelet thresholding [7]. One way of comparing the performances of two different method is to fix a class of functions to be estimated and to measure the estimation rate achieved by each method ove...

2012
Shamaila Khan Anurag Jain Ashish Khare Anil K. Jain David L. Donoho Iain M. Johnstone Gérard Kerkyacharian Dominique Picard Fengxia Yan Lizhi Cheng Silong Peng Florian Luisier Thierry Blu Grace Chang Bin Yu Martin Vetterli Hamed Pirsiavash Shohreh Kasaei Farrokh Marvasti Iman Elyasi Sadegh Zarmehi Lakhwinder Kaur Savita Gupta R. C. Chauhan Levent Sendur Ivan W. Selesnick

Wavelet transforms enable us to represent signals with a high degree of scarcity. Wavelet thresholding is a signal estimation technique that exploits the capabilities of wavelet transform for signal denoising. The aim of this paper is to study various thresholding techniques such as Sure Shrink, Visu Shrink and Bayes Shrink and determine the best one for image denoising. This paper presents an ...

1996
T. Tony Cai

Wavelet shrinkage methods have been very successful in nonparametric regression. The most commonly used wavelet procedures achieve adaptivity through term-by-term thresholding. The resulting estimators attain the minimax rates of convergence up to a logarithmic factor. In the present paper, we propose a block thresholding method where wavelet coef-cients are thresholded in blocks, rather than i...

2007
Kei Kobayashi Fumiyasu Komaki

We consider Bayesian shrinkage predictions for the Normal regression problem under the frequentist Kullback-Leibler risk function. Firstly, we consider the multivariate Normal model with an unknown mean and a known covariance. While the unknown mean is fixed, the covariance of future samples can be different from training samples. We show that the Bayesian predictive distribution based on the u...

2008
Russell L. Zaretzki

We introduce a new Bayesian approach to the variable selection problem which we term Bayesian Shrinkage Variable Selection (BSVS ). This approach is inspired by the Relevance Vector Machine (RVM ), which uses a Bayesian hierarchical linear setup to do variable selection and model estimation. RVM is typically applied in the context of kernel regression although it is also suitable in the standar...

Journal: :CoRR 2017
Jian Zhang Bernard Ghanem

Traditional methods for image compressive sensing (CS) reconstruction solve a welldefined inverse problem (convex optimization problems in many cases) that is based on a predefined CS model, which defines the underlying structure of the problem and is generally solved by employing convergent iterative solvers. These optimization-based CS methods face the challenge of choosing optimal transforms...

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