Concept

Minimum mean square error

Publications associées (333)

Performance of diffusion adaptation for collaborative optimization

We derive an adaptive diffusion mechanism to optimize global cost functions in a distributed manner over a network of nodes. The cost function is assumed to consist of the sum of individual components, and diffusion adaptation is used to enable the nodes t ...

IEEE2012

Bayesian Denoising Of Generalized Poisson Processes With Finite Rate Of Innovation

Michaël Unser, Arash Amini, Ulugbek Kamilov

We investigate the problem of the optimal reconstruction of a generalized Poisson process from its noisy samples. The process is known to have a finite rate of innovation since it is generated by a random stream of Diracs with a finite average number of im ...

Ieee2012

Bayesian Denoising of Generalized Poisson Processes with Finite Rate of Innovation

Michaël Unser, Azin Amini, Ulugbek Kamilov

IEEE2012

Performance Limits for Distributed Estimation Over LMS Adaptive Networks

Ali H. Sayed

In this work, we analyze the mean-square performance of different strategies for distributed estimation over least-mean-squares (LMS) adaptive networks. The results highlight some useful properties for distributed adaptation in comparison to fusion-based c ...

IEEE2012

One-Bit Measurements With Adaptive Thresholds

Michaël Unser, Arash Amini, Ulugbek Kamilov, Aurélien Bourquard

We introduce a new method for adaptive one-bit quantization of linearmeasurements and propose an algorithm for the recovery of signals based on generalized approximate message passing (GAMP). Our method exploits the prior statistical information on the sig ...

Ieee-Inst Electrical Electronics Engineers Inc2012

Mmse Denoising Of Sparse Levy Processes Via Message Passing

Michaël Unser, Arash Amini, Ulugbek Kamilov

Many recent algorithms for sparse signal recovery can be interpreted as maximum-a-posteriori (MAP) estimators relying on some specific priors. From this Bayesian perspective, state-of-the-art methods based on discrete-gradient regularizers, such as total-v ...

Ieee2012

MMSE Denoising of Sparse Lévy Processes via Message Passing

Michaël Unser, Azin Amini, Ulugbek Kamilov

IEEE2012

Spatio-Temporal Diffusion Strategies for Estimation and Detection Over Networks

Ali H. Sayed

We present diffusion algorithms for distributed estimation and detection over networks that endow all nodes with both spatial cooperation abilities and temporal processing abilities. Each node in the network is allowed to share information locally with its ...

IEEE2012

Mean-square analysis of continuous-time distributed estimation strategies

Ali H. Sayed

In this work, we study the mean-square-error performance of a diffusion strategy for continuous-time estimation over networks. We derive differential equations that describe the evolution of the mean and correlation of the weight-error vector, and provide ...

IEEE2012

Combination weights for diffusion strategies with imperfect information exchange

Ali H. Sayed

Adaptive networks rely on in-network and collaborative processing among distributed agents to deliver enhanced performance in estimation and inference tasks. Information is exchanged among the nodes, usually over noisy links. This paper first investigates ...

IEEE2012

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