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Related papers: Mutual Information Approximation

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Consider a pair of terminals connected by two independent (feedforward and feedback) Additive White Gaussian Noise (AWGN) channels, and limited by individual power constraints. The first terminal would like to reliably send information to…

Information Theory · Computer Science 2015-04-16 Assaf Ben-Yishai , Ofer Shayevitz

We introduce the Mutual Information Machine (MIM), a novel formulation of representation learning, using a joint distribution over the observations and latent state in an encoder/decoder framework. Our key principles are symmetry and mutual…

Machine Learning · Statistics 2019-10-10 Micha Livne , Kevin Swersky , David J. Fleet

Estimation of information theoretic quantities such as mutual information and its conditional variant has drawn interest in recent times owing to their multifaceted applications. Newly proposed neural estimators for these quantities have…

Machine Learning · Computer Science 2020-07-24 Arnab Kumar Mondal , Arnab Bhattacharya , Sudipto Mukherjee , Prathosh AP , Sreeram Kannan , Himanshu Asnani

We introduce a novel Mutual Information (MI) estimator that fundamentally reframes the discriminative approach. Instead of training a classifier to discriminate between joint and marginal distributions, we learn a normalizing flow that…

Machine Learning · Computer Science 2026-02-10 Ivan Butakov , Alexander Semenenko , Valeriya Kirova , Alexey Frolov , Ivan Oseledets

We propose a covert communication protocol for the spread-spectrum multiple random access with additive white Gaussian noise (AWGN) channel. No existing paper has studied covert communication for the random access channel. Our protocol…

Information Theory · Computer Science 2023-10-25 Masahito Hayashi , Angeles Vazquez-Castro

Deep learning based physical layer design, i.e., using dense neural networks as encoders and decoders, has received considerable interest recently. However, while such an approach is naturally training data-driven, actions of the wireless…

Information Theory · Computer Science 2020-06-30 Rick Fritschek , Rafael F. Schaefer , Gerhard Wunder

The problem of fast point-to-point MIMO channel mutual information estimation is addressed, in the situation where the receiver undergoes unknown colored interference, whereas the channel with the transmitter is perfectly known. The…

Probability · Mathematics 2012-03-14 Abla Kammoun , Romain Couillet , Jamal Najim , Merouane Debbah

The most natural way to describe an information-carrying system containing a specific noise is an additive white Gaussian-noise (AWGN) channel. In bosonic quantum systems (especially the Gaussian case), although the classical information…

Quantum Physics · Physics 2019-05-14 Kabgyun Jeong , Hun Hee Lee , Youngrong Lim

Sensor placement approaches in networks often involve using information-theoretic measures such as entropy and mutual information. We prove that mutual information abides by submodularity and is non-decreasing when considering the mutual…

Information Theory · Computer Science 2024-09-06 George Crowley , Inaki Esnaola

The ability to compress observational data and accurately estimate physical parameters relies heavily on informative summary statistics. In this paper, we introduce the use of mutual information (MI) as a means of evaluating the quality of…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-12 Ce Sui , Xiaosheng Zhao , Tao Jing , Yi Mao

An accurate, closed-form expression evaluating the nonlinear interference (NLI) power in coherent optical transmission systems in the presence of inter-channel stimulated Raman scattering (ISRS) is derived. The analytical result enables a…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Daniel Semrau , Robert I. Killey , Polina Bayvel

In this work we present a new method for the estimation of Mutual Information (MI) between random variables. Our approach is based on an original interpretation of the Girsanov theorem, which allows us to use score-based diffusion models to…

Machine Learning · Computer Science 2024-05-16 Giulio Franzese , Mustapha Bounoua , Pietro Michiardi

Applying perturbation theory to the path-integral representation for the mutual information of the nonlinear communication channel described by the nonlinear Shr\"{o}dinger equation (NLSE) with the additive Gaussian noise we analyze the…

Information Theory · Computer Science 2016-08-19 I. S. Terekhov , A. V. Reznichenko , S. K. Turitsyn

Learning good representations is of crucial importance in deep learning. Mutual Information (MI) or similar measures of statistical dependence are promising tools for learning these representations in an unsupervised way. Even though the…

Audio and Speech Processing · Electrical Eng. & Systems 2019-04-09 Mirco Ravanelli , Yoshua Bengio

In the analysis of time series from nonlinear sources, mutual information (MI) is used as a nonlinear statistical criterion for the selection of an appropriate time delay in time delay reconstruction of the state space. MI is a statistic…

Chaotic Dynamics · Physics 2009-10-31 Henry D. I. Abarbanel , Naoki Masuda , M. I. Rabinovich , Evren Tumer

Estimating mutual information (MI) from samples is a fundamental problem in statistics, machine learning, and data analysis. Recently it was shown that a popular class of non-parametric MI estimators perform very poorly for strongly…

Information Theory · Computer Science 2016-02-18 Shuyang Gao , Greg Ver Steeg , Aram Galstyan

We are assisting at a growing interest in the development of learning architectures with application to digital communication systems. Herein, we consider the detection/decoding problem. We aim at developing an optimal neural architecture…

Information Theory · Computer Science 2022-09-02 Andrea M. Tonello , Nunzio A. Letizia

Information transmission over discrete-time channels with memoryless additive noise obeying a Cauchy, rather than Gaussian, distribution, are studied. The channel input satisfies an average power constraint. Upper and lower bounds to such…

Information Theory · Computer Science 2024-11-19 Shuqin Pang , Wenyi Zhang

For a continuous-time additive white Gaussian noise (AWGN) channel with possible feedback, it has been shown that as sampling gets infinitesimally fine, the mutual information of the associative discrete-time channels converges to that of…

Information Theory · Computer Science 2020-08-26 Guangyue Han , Shlomo Shamai

This letter establishes a unified analytical framework to study the asymptotic average mutual information (AMI) of mixture gamma (MG) distributed fading channels driven by finite input signals in the high signal-to-noise ratio (SNR) regime.…

Information Theory · Computer Science 2021-11-29 Chongjun Ouyang , Sheng Wu , Chunxiao Jiang , Yuanwei Liu , Julian Cheng , Hongwen Yang