Publication
Differential Entropy of the Conditional Expectation Under Additive Gaussian Noise
Publications associées (37)
A New Entropy Power Inequality for Integer-Valued Random Variables
Emmanuel Abbé, Saeid Haghighatshoar
The entropy power inequality (EPI) yields lower bounds on the differential entropy of the sum of two independent real-valued random variables in terms of the individual entropies. Versions of the EPI for discrete random variables have been obtained for spe ...
Institute of Electrical and Electronics Engineers2014Liouville's theorem and Laurent Series Expansions for Solutions of the Heat Equation
We give a Liouville theorem for entire solutions and Laurent series expansions for solutions with isolated singularities of the heat equation. ...
Springer Basel Ag2014A Projected Gradient Algorithm for Image Restoration Under Hessian Matrix-Norm Regularization
Michaël Unser, Stamatios Lefkimmiatis
We have recently introduced a class of non-quadratic Hessian-based regularizers as a higher-order extension of the total variation (TV) functional. These regularizers retain some of the most favorable properties of TV while they can effectively deal with t ...
IEEE2012Visual processing-inspired Fern-Audio features for Noise-Robust Speaker Verification
In this paper, we consider the problem of speaker verification as a two-class object detection problem in computer vision, where the object instances are 1-D short-time spectral vectors obtained from the speech signal. More precisely, we investigate the ge ...
2010BOOSTED BINARY FEATURES FOR NOISE-ROBUST SPEAKER VERIFICATION
The standard approach to speaker verification is to extract cepstral features from the speech spectrum and model them by generative or discriminative techniques. We propose a novel approach where a set of client-specific binary features carrying maximal di ...
2010Distributed bearing estimation via matrix completion
We consider bearing estimation of multiple narrow-band plane waves impinging on an array of sensors. For this problem, bearing estimation algorithms such as minimum variance distortionless response (MVDR), multiple signal classification, and maximum likeli ...
2010Visual processing-inspired Fern-Audio features for Noise-Robust Speaker Verification
In this paper, we consider the problem of speaker verification as a two-class object detection problem in computer vision, but the object instances are 1-D short-time spectral vectors obtained from the speech signal. More precisely, we investigate the gene ...
Idiap2009Coding Along Hermite Polynomials for Gaussian Noise Channels
This paper shows that the capacity achieving input distribution for a fading Gaussian broadcast channel is not Gaussian in general. The construction of non-Gaussian distributions that strictly outperform Gaussian ones, for certain characterized fading dist ...
Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009Bounds on the Sum Capacity of Synchronous Binary CDMA Channels
In this paper, we obtain a family of lower bounds for the sum capacity of code-division multiple-access (CDMA) channels assuming binary inputs and binary signature codes in the presence of additive noise with an arbitrary distribution. The envelope of this ...
Institute of Electrical and Electronics Engineers2009A Local Nonlinear Model for the Approximation and Identification of a Class of Systems
Based on Volterra series the work presents a novel local nonlinear model of a certain class of linear-analytic systems. The special form of the expressions for the Laplace-domain Volterra kernels of such systems is exploited to obtain an approximation stru ...
Institute of Electrical and Electronics Engineers2009