31 citations · 49 across the 16 of their papers we have counts for
11 papers · 1 filter
On the Information Bottleneck for Stable Variables
Dongmin Park, Jihad Fahs, Mohamad Assaad
We consider a generalization of the Gaussian information bottleneck problem to jointly stable variables and . Specifically, for , where is stable and independ…
On Linear Estimators for some Stable Vectors
Rayan Chouity, Charbel Hannoun, Jihad Fahs +1
We consider the estimation problem for jointly stable random variables. Under two specific dependency models: a linear transformation of two independent stable variables and a sub-…
The Generalized Chernoff-Stein Lemma, Applications and Examples
Jihad Fahs, Ibrahim Abou Faycal, Ibrahim Issa
In this manuscript we define the notion of "-typicality" for both entropy and relative entropy, as well as a notion of -goodness and provide an extension to Stein's lemma for…
A Framework for Robust Lossy Compression of Heavy-Tailed Sources
Karim Ezzeddine, Jihad Fahs, Ibrahim Abou-Faycal
We study the rate-distortion problem for both scalar and vector memoryless heavy-tailed -stable sources (). Using a recently defined notion of ``strength" as a power m…
Testing the Isotropic Cauchy Hypothesis
Jihad Fahs, Ibrahim Abou-Faycal, Ibrahim Issa
Isotropic -stable distributions are central in the theory of heavy-tailed distributions and play a role similar to that of the Gaussian density among finite second-moment laws.…
Capacity-Achieving Input Distribution in Per-Sample Zero-Dispersion Model of Optical Fiber
Jihad Fahs, Aslan Tchamkerten, Mansoor I. Yousefi
The per-sample zero-dispersion channel model of the optical fiber is considered. It is shown that capacity is uniquely achieved by an input probability distribution that has contin…
Information Measures, Inequalities and Performance Bounds for Parameter Estimation in Impulsive Noise Environments
Jihad Fahs, Ibrahim Abou-Faycal
Recent studies found that many channels are affected by additive noise that is impulsive in nature and is best explained by heavy-tailed symmetric alpha-stable distributions. Deali…
Sufficient Conditions for Existence of
Jihad Fahs, Ibrahim Abou-Faycal
In his technical report~\cite[sec. 6]{barrontech}, Barron states that the de Bruijn's identity for Gaussian perturbations holds for any RV having a finite variance. In this report,…
On Properties of the Support of Capacity-Achieving Distributions for Additive Noise Channel Models with Input Cost Constraints
Jihad Fahs, Ibrahim Abou-Faycal
We study the classical problem of characterizing the channel capacity and its achieving distribution in a generic fashion. We derive a simple relation between three parameters: the…
On the Finiteness of the Capacity of Continuous Channels
Jihad Fahs, Ibrahim Abou-Faycal
Evaluating the channel capacity is one of many key problems in information theory. In this work we derive rather-mild sufficient conditions under which the capacity is finite and a…
Statistical Intercell Interference Modeling for Capacity-Coverage Tradeoff Analysis in Downlink Cellular Networks
Naeem Akl, Jihad Fahs, Zaher Dawy
Interference shapes the interplay between capacity and coverage in cellular networks. However, interference is non-deterministic and depends on various system and channel parameter…