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We propose a computationally efficient multilevel coding scheme to achieve the capacity of an ISI channel using layers of binary inputs. The transmitter employs multilevel coding with linear mapping. The receiver uses multistage decoding…

Information Theory · Computer Science 2007-07-13 Mei Chen , Teng Li , Oliver M. Collins

This paper considers mean square error (MSE) analysis for stochastic gradient sampling algorithms applied to underdamped Langevin dynamics under a global convexity assumption. A novel discrete Poisson equation framework is developed to…

Numerical Analysis · Mathematics 2025-11-07 Jianfeng Lu , Xuda Ye , Zhennan Zhou

This paper presents new results on linear transceiver designs in a multiple-input-multiple-output (MIMO) link. By considering the minimal total mean-square error (MSE) criterion, we prove that the robust optimal linear transceiver design…

Signal Processing · Electrical Eng. & Systems 2020-03-04 Hongying Tang , Wen Chen , Jun Li

This work studies an information-theoretic performance limit of an integrated sensing and communication (ISAC) system where the goal of sensing is to estimate a random continuous state. Considering the mean-squared error (MSE) for…

Information Theory · Computer Science 2025-01-30 Daewon Seo

Coping with distributional shifts is an important part of transfer learning methods in order to perform well in real-life tasks. However, most of the existing approaches in this area either focus on an ideal scenario in which the data does…

Machine Learning · Computer Science 2023-07-26 Luis Pedro Silvestrin , Shujian Yu , Mark Hoogendoorn

The Exponentially Weighted Moving Average (EWMA) and Cumulative Sum (CUSUM) control charts have been used in profile monitoring to track drift shifts that occur in a monitored process. We construct Bayesian EWMA and Bayesian CUSUM charts…

Methodology · Statistics 2020-07-21 Chelsea Mitchell , Abdel-Salam Abdel-Salam , D'Arcy Mays

We consider a problem where a memoryless bi-variate Gaussian source is to be transmitted over an additive white Gaussian multiple-access channel with two transmitting terminals and one receiving terminal. The first transmitter only sees the…

Information Theory · Computer Science 2007-07-16 Amos Lapidoth , Stephan Tinguely

This paper develops a linear minimum mean-square error (LMMSE) channel estimator for single and multicarrier systems that takes advantage of the mutual coupling in antenna arrays. We model the mutual coupling through multiport networks and…

Information Theory · Computer Science 2023-04-18 Bamelak Tadele , Volodymyr Shyianov , Faouzi Bellili , Amine Mezghani

The traditional methods of image assessment, such as mean squared error (MSE), signal-to-noise ratio (SNR), and Peak signal-to-noise ratio (PSNR), are all based on the absolute error of images. Pearson's inner-product correlation…

Computer Vision and Pattern Recognition · Computer Science 2017-08-07 Jianji Wang , Nanning Zheng , Badong Chen , Jose C. Principe

An abstraction for multisensor communication termed the Gaussian Multiplex Channel is presented and analyzed. In this model, the sensor outputs can be added together in any combination through a network of switches, and the combinations can…

Signal Processing · Electrical Eng. & Systems 2024-12-20 Daniel R. Fuhrmann , Muhammad Fahad

We analyze the problem of estimating a signal from multiple measurements on a $\mbox{group action channel}$ that linearly transforms a signal by a random group action followed by a fixed projection and additive Gaussian noise. This channel…

Information Theory · Computer Science 2018-01-16 Emmanuel Abbe , João M. Pereira , Amit Singer

The asymptotic mutual information (MI) analysis for multiple-input multiple-output (MIMO) systems over double-scattering channels has achieved engaging results, but the convergence rates of the mean, variance, and the distribution of the MI…

Information Theory · Computer Science 2023-01-18 Xin Zhang , Shenghui Song

In this paper we carefully study the MSE performance of the linear analog codes. We have derived a lower bound of the MSE performance under Likelihood(ML) and Linear Minimal Mean Square Error(LMMSE) decoding criteria respectively. It is…

Information Theory · Computer Science 2015-11-19 Yang Liu , Jing Li , Kai Xie

Generalized mutual information (GMI) is used to compute achievable rates for fading channels with various types of channel state information at the transmitter (CSIT) and receiver (CSIR). The GMI is based on variations of auxiliary channel…

Information Theory · Computer Science 2023-05-23 Gerhard Kramer

This work introduces a novel class of channel estimators tailored for coarse quantization systems. The proposed estimators are founded on conditionally Gaussian latent generative models, specifically Gaussian mixture models (GMMs), mixture…

Signal Processing · Electrical Eng. & Systems 2023-12-19 Benedikt Fesl , Nurettin Turan , Benedikt Böck , Wolfgang Utschick

Massive MIMO communication systems, by virtue of utilizing very large number of antennas, have a potential to yield higher spectral and energy efficiency in comparison with the conventional MIMO systems. In this paper, we consider uplink…

Information Theory · Computer Science 2015-07-30 Alam Zaib , Mudassir Masood , Anum Ali , Weiyu Xu , Tareq Y. Al-Naffouri

The term ``empirical predictor'' refers to a two-stage predictor of a linear combination of fixed and random effects. In the first stage, a predictor is obtained but it involves unknown parameters; thus, in the second stage, the unknown…

Statistics Theory · Mathematics 2007-06-13 Kalyan Das , Jiming Jiang , J. N. K. Rao

Linear regression model (LRM) based on mean square error (MSE) criterion is widely used in Granger causality analysis (GCA), which is the most commonly used method to detect the causality between a pair of time series. However, when signals…

Methodology · Statistics 2019-02-20 Badong Chen , Rongjin Ma , Siyu Yu , Shaoyi Du , Jing Qin

The Mutual Information (MI) is an often used measure of dependency between two random variables utilized in information theory, statistics and machine learning. Recently several MI estimators have been proposed that can achieve parametric…

Information Theory · Computer Science 2018-11-26 Morteza Noshad , Yu Zeng , Alfred O. Hero

Supervised convolutional neural networks (CNNs) are widely used to solve imaging inverse problems, achieving state-of-the-art performance in numerous applications. However, despite their empirical success, these methods are poorly…

Computer Vision and Pattern Recognition · Computer Science 2026-05-28 Minh Hai Nguyen , Quoc Bao Do , Edouard Pauwels , Pierre Weiss