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This paper considers a Gaussian channel with one transmitter and two receivers. The goal is to maximize the communication rate at the intended/primary receiver subject to a disturbance constraint at the unintended/secondary receiver. The…

Information Theory · Computer Science 2016-03-25 Alex Dytso , Ronit Bustin , Daniela Tuninetti , Natasha Devroye , H. Vincent Poor , Shlomo Shamai

The Poisson model is frequently employed to describe count data, but in a Bayesian context it leads to an analytically intractable posterior probability distribution. In this work, we analyze a variational Gaussian approximation to the…

Numerical Analysis · Mathematics 2018-02-14 Simon Arridge , Kazufumi Ito , Bangti Jin , Chen Zhang

We consider a linear precoder design for an underlay cognitive radio multiple-input multiple-output broadcast channel, where the secondary system consisting of a secondary base-station (BS) and a group of secondary users (SUs) is allowed to…

Information Theory · Computer Science 2016-11-17 Van-Dinh Nguyen , Le-Nam Tran , Trung Q. Duong , Oh-Soon Shin , Ronan Farrell

We study a model of unsupervised learning where the real-valued data vectors are isotropically distributed, except for a single symmetry breaking binary direction $\bm{B}\in\{-1,+1\}^{N}$, onto which the projections have a Gaussian…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Copelli , C. Van den Broeck

In this paper, we investigate the optimal precoding scheme for relay networks with finite-alphabet constraints. We show that the previous work utilizing various design criteria to maximize either the diversity order or the transmission rate…

Information Theory · Computer Science 2016-11-17 Weiliang Zeng , Chengshan Xiao , Mingxi Wang , Jianhua Lu

The Linear Quadratic Gaussian (LQG) controller is known to be inherently fragile to model misspecifications common in real-world situations. We consider discrete-time partially observable stochastic linear systems and provide a…

Optimization and Control · Mathematics 2025-07-31 Marta Fochesato , Lucia Falconi , Mattia Zorzi , Augusto Ferrante , John Lygeros

For many types of machine learning algorithms, one can compute the statistically `optimal' way to select training data. In this paper, we review how optimal data selection techniques have been used with feedforward neural networks. We then…

Artificial Intelligence · Computer Science 2014-11-17 D. A. Cohn , Z. Ghahramani , M. I. Jordan

We study the problem of maximizing sum rates in a Gaussian interference-limited channel that models multiuser communication in a CDMA wireless network or DSL cable binder. Using tools from nonnegative irreducible matrix theory, in…

Optimization and Control · Mathematics 2008-07-07 Shmuel Friedland , Chee Wei Tan

In this work, we investigate the different sensing schemes for the detection of four targets as observed through a vector Poisson and Gaussian channels when the sensing time resource is limited and the source signals can be observed through…

Information Theory · Computer Science 2024-12-06 Muhammad Fahad , Daniel R. Fuhrmann

This paper studies the interpretability of neural network features from a Bayesian Gaussian view, where optimizing a cost is reaching a probabilistic bound; learning a model approximates a density that makes the bound tight and the cost…

Machine Learning · Computer Science 2025-11-18 Bo Hu , Jose C. Principe

We consider building predictors when the data have missing values. We study the seemingly-simple case where the target to predict is a linear function of the fully-observed data and we show that, in the presence of missing values, the…

Machine Learning · Computer Science 2020-07-02 Marine Le Morvan , Nicolas Prost , Julie Josse , Erwan Scornet , Gaël Varoquaux

In this paper, we consider a scenario where a source node wishes to broadcast two confidential messages for two respective receivers via a Gaussian MIMO broadcast channel. A wire-tapper also receives the transmitted signal via another MIMO…

Information Theory · Computer Science 2009-05-01 Ghadamali Bagherikaram , Abolfazl S. Motahari , Amir K. Khandani

We survey the state of the art for the proof of the quantum Gaussian optimizer conjectures of quantum information theory. These fundamental conjectures state that quantum Gaussian input states are the solution to several optimization…

Mathematical Physics · Physics 2018-08-31 Giacomo De Palma , Dario Trevisan , Vittorio Giovannetti , Luigi Ambrosio

Optimal transport has found widespread applications in signal processing and machine learning. Among its many equivalent formulations, optimal transport seeks to reconstruct a random variable/vector with a prescribed distribution at the…

Information Theory · Computer Science 2025-03-06 Jun Chen , Jia Wang , Ruibin Li , Han Zhou , Wei Dong , Huan Liu , Yuanhao Yu

In this paper, we study a routing problem on the Gaussian multiple relay channel, in which nodes employ a decode-and-forward coding strategy. We are interested in routes for the information flow through the relays that achieve the highest…

Information Theory · Computer Science 2010-04-15 Lawrence Ong , Mehul Motani

Under some mild Markov assumptions it is shown that the problem of designing optimal sequential tests for two simple hypotheses can be formulated as a linear program. The result is derived by investigating the Lagrangian dual of the…

Statistics Theory · Mathematics 2015-02-24 Michael Fauss , Abdelhak M. Zoubir

This paper discusses a special kind of a simple yet possibly powerful algorithm, called single-kernel Gradraker (SKG), which is an adaptive learning method predicting unknown nodal values in a network using known nodal values and the…

Signal Processing · Electrical Eng. & Systems 2022-04-28 Yue Zhao , Ender Ayanoglu

The focus of this paper is on spatial precoding in correlated multi-antenna channels, where the number of independent data-streams is adapted to trade-off the data-rate with the transmitter complexity. Towards the goal of a low-complexity…

Information Theory · Computer Science 2009-09-29 Vasanthan Raghavan , Akbar Sayeed , Venu Veeravalli

Lossy transmission over a relay channel in which the relay has access to correlated side information is considered. First, a joint source-channel decode-and-forward scheme is proposed for general discrete memoryless sources and channels.…

Information Theory · Computer Science 2016-11-17 Deniz Gunduz , Elza Erkip , Andrea J. Goldsmith , H. Vincent Poor

A code for communication over the k-receiver additive white Gaussian noise broadcast channel with feedback is presented and analyzed using tools from the theory of linear quadratic Gaussian optimal control. It is shown that the performance…

Information Theory · Computer Science 2011-02-17 Ehsan Ardestanizadeh , Paolo Minero , Massimo Franceschetti
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