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In statistical physics entropy is usually introduced as a global quantity which expresses the amount of information that would be needed to specify the microscopic configuration of a system. However, for lattice models with infinitely many…

Statistical Mechanics · Physics 2015-06-12 Ulrich Müller , Haye Hinrichsen

Estimating mutual information between continuous random variables is often intractable and extremely challenging for high-dimensional data. Recent progress has leveraged neural networks to optimize variational lower bounds on mutual…

Machine Learning · Computer Science 2020-12-01 Ruizhi Liao , Daniel Moyer , Polina Golland , William M. Wells

The failure of deep neural networks to generalize to out-of-distribution data is a well-known problem and raises concerns about the deployment of trained networks in safety-critical domains such as healthcare, finance and autonomous…

Machine Learning · Computer Science 2022-06-28 Mohammed Adnan , Yani Ioannou , Chuan-Yung Tsai , Angus Galloway , H. R. Tizhoosh , Graham W. Taylor

A self-control mechanism for the dynamics of a three-state fully-connected neural network is studied through the introduction of a time-dependent threshold. The self-adapting threshold is a function of both the neural and the pattern…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. Bolle' , D. Dominguez Carreta

Renormalization is an essential technique in field-theoretic descriptions of natural phenomena, where the absence of a UV-complete description yields an abundance of divergent quantities. While the renormalization prescription has been…

High Energy Physics - Theory · Physics 2025-11-14 Brenden Bowen , Albert Farah , Spasen Chaykov , Nishant Agarwal

This article proposes a new method to estimate an existing mutual information based dependence measure using histogram density estimates. Finding a suitable bin length for histogram is an open problem. We propose a new way of computing the…

Information Theory · Computer Science 2015-09-15 Namita Jain , C. A. Murthy

This work considers communication networks where individual links can be described as MIMO channels. Unlike orthogonal modulation methods (such as the singular-value decomposition), we allow interference between sub-channels, which can be…

Information Theory · Computer Science 2016-11-17 Anatoly Khina , Yuval Kochman , Uri Erez

We provide an information-theoretic framework for studying the generalization properties of machine learning algorithms. Our framework ties together existing approaches, including uniform convergence bounds and recent methods for adaptive…

Machine Learning · Computer Science 2020-06-22 Thomas Steinke , Lydia Zakynthinou

The mutual information between two jointly distributed random variables $X$ and $Y$ is a functional of the joint distribution $P_{XY},$ which is sometimes difficult to handle or estimate. A coarser description of the statistical behavior of…

Information Theory · Computer Science 2016-11-17 Yanjun Han , Or Ordentlich , Ofer Shayevitz

The capacity-achieving input covariance matrices for coherent block-fading correlated MIMO Rician channels are determined. In this case, no closed-form expressions for the eigenvectors of the optimum input covariance matrix are available.…

Probability · Mathematics 2011-06-07 Julien Dumont , W. Hachem , Samson Lasaulce , Philippe Loubaton , Jamal Najim

The data for many classification problems, such as pattern and speech recognition, follow mixture distributions. To quantify the optimum performance for classification tasks, the Shannon mutual information is a natural information-theoretic…

Signal Processing · Electrical Eng. & Systems 2022-06-22 Yijun Ding , Amit Ashok

Information-theoretic quantities like entropy and mutual information have found numerous uses in machine learning. It is well known that there is a strong connection between these entropic quantities and submodularity since entropy over a…

Machine Learning · Computer Science 2021-03-04 Rishabh Iyer , Ninad Khargonkar , Jeff Bilmes , Himanshu Asnani

In this paper, a novel time-based modulation scheme is proposed in the time-asynchronous channel for diffusion-based molecular communication systems with drift. Based on this modulation scheme, we demonstrate that the sample variance of…

Information Theory · Computer Science 2019-05-31 Qingchao Li

The use of dual polarization in mobile satellite systems is very promising as a means for increasing the transmission capacity. In this paper we study a system which uses simultaneously two orthogonal polarizations in order to communicate…

Signal Processing · Electrical Eng. & Systems 2018-03-22 Anxo Tato , Pol Henarejos , Carlos Mosquera , Ana I. Pérez-Neira

Traditional channel capacity based on the discrete spatial dimensions mismatches the continuous electromagnetic fields. For the wireless communication system in a limited region, the spatial discretization may results in information loss…

Information Theory · Computer Science 2023-02-21 Zhongzhichao Wan , Jieao Zhu , Zijian Zhang , Linglong Dai , Chan-Byoung Chae

A polar decomposition of mutual information between a complex-valued channel's input and output is proposed for a input whose amplitude and phase are independent of each other. The mutual information is symmetrically decomposed into three…

Information Theory · Computer Science 2013-04-02 Qiuliang Xie , Zhaocheng Wang , Zhixing Yang

Token-level adaptive training approaches can alleviate the token imbalance problem and thus improve neural machine translation, through re-weighting the losses of different target tokens based on specific statistical metrics (e.g., token…

Computation and Language · Computer Science 2022-03-08 Songming Zhang , Yijin Liu , Fandong Meng , Yufeng Chen , Jinan Xu , Jian Liu , Jie Zhou

We consider linear time-varying channels with additive white Gaussian noise. For a large class of such channels we derive rigorous estimates of the eigenvalues of the correlation matrix of the effective channel in terms of the sampled…

Information Theory · Computer Science 2016-11-17 Brendan Farrell , Thomas Strohmer

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

Shannon's mutual information of a random multiple antenna and multipath channel is studied in the general case where the channel impulse response is an ergodic and stationary process which is assumed to be available at the receiver. From…

Information Theory · Computer Science 2019-05-09 Walid Hachem , Adrien Hardy , Shlomo Shamai
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