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Empirical Bayes estimators are based on minimizing the average risk with the hyper-parameters in the weighting function being estimated from observed data. The performance of an empirical Bayes estimator is typically evaluated by its mean…

Statistics Theory · Mathematics 2025-03-18 Yue Ju , Bo Wahlberg , Håkan Hjalmarsson

We derive the mapping between two of the most pervasive utility functions, the mean square error ($MSE$) and the concordance correlation coefficient (CCC, $\rho_c$). Despite its drawbacks, $MSE$ is one of the most popular performance…

Machine Learning · Computer Science 2020-07-03 Vedhas Pandit , Björn Schuller

In this paper, robust transceiver design based on minimum-mean-square-error (MMSE) criterion for dual-hop amplify-and-forward MIMO relay systems is investigated. The channel estimation errors are modeled as Gaussian random variables, and…

Information Theory · Computer Science 2016-11-17 Chengwen Xing , Shaodan Ma , Yik-Chung Wu , Tung-Sang Ng

This paper presents an intuitive application of multivariate kernel density estimation (KDE) for data correction. The method utilizes the expected value of the conditional probability density function (PDF) and a credible interval to…

Applications · Statistics 2025-09-19 Hai Bui , Mostafa Bakhoday-Paskyabi

Large-scale multiple-antenna systems have been identified as a promising technology for the next generation of wireless systems. However, by scaling up the number of receive antennas the energy consumption will also increase. One possible…

Information Theory · Computer Science 2019-10-08 Z. Shao , L. Landau , R. C. de Lamare

The estimation of a sparse vector in the linear model is a fundamental problem in signal processing, statistics, and compressive sensing. This paper establishes a lower bound on the mean-squared error, which holds regardless of the…

Information Theory · Computer Science 2013-03-04 Emmanuel J. Candès , Mark A. Davenport

An approximate mean square error (MSE) expression for the performance analysis of implicitly defined estimators of non-random parameters is proposed. An implicitly defined estimator (IDE) declares the minimizer/maximizer of a selected…

Signal Processing · Electrical Eng. & Systems 2025-12-02 Erdal Mehmetcik , Umut Orguner , Çağatay Candan

This paper formulates and studies a general distributed field reconstruction problem using a dense network of noisy one-bit randomized scalar quantizers in the presence of additive observation noise of unknown distribution. A constructive…

Information Theory · Computer Science 2009-11-13 Ye Wang , Prakash Ishwar , Venkatesh Saligrama

We address the problem of signal denoising via transform-domain shrinkage based on a novel $\textit{risk}$ criterion called the minimum probability of error (MPE), which measures the probability that the estimated parameter lies outside an…

Applications · Statistics 2020-02-19 Jishnu Sadasivan , Subhadip Mukherjee , Chandra Sekhar Seelamantula

In this paper, joint transceiver design for dual-hop amplify-and-forward (AF) MIMO relay systems with Gaussian distributed channel estimation errors in both two hops is investigated. Due to the fact that various linear transceiver designs…

Information Theory · Computer Science 2012-01-17 Chengwen Xing , Shaodan Ma , Zesong Fei , Yik-Chung Wu , Jingming Kuang

The most important aspect of any classifier is its error rate, because this quantifies its predictive capacity. Thus, the accuracy of error estimation is critical. Error estimation is problematic in small-sample classifier design because…

Machine Learning · Statistics 2013-11-13 Amin Zollanvari , Edward R. Dougherty

This paper proposes a novel Bayesian reciprocity calibration method that consistently ensures uplink and downlink channel reciprocity in repeater-assisted multiple-input multiple-output (MIMO) systems. The proposed algorithm is formulated…

Signal Processing · Electrical Eng. & Systems 2026-02-06 Shoma Hara , Takumi Takahashi , Hiroki Iimori , Hideki Ochiai , Erik G. Larsson

As the array dimension of massive MIMO systems increases to unprecedented levels, two problems occur. First, the spatial stationarity assumption along the antenna elements is no longer valid. Second, the large array size results in an…

Information Theory · Computer Science 2024-01-25 Tianyu Yang , Johannes Maly , Sjoerd Dirksen , Giuseppe Caire

Radio channels are typically sparse in the delay domain, and ideal for compressed sensing. A new compressed sensing algorithm called eX-OMP is developed that yields performance similar to that of the optimal MMSE estimator. The new…

Information Theory · Computer Science 2016-12-23 Jonathan Ling , Dmitry Chizhik , A. Tulino , Inaki Esnaola

In multiple antenna systems employing time-division duplexing, spatial precoder design at the base station (BS) leverages channel state information acquired through uplink pilot transmission, under the assumption of channel reciprocity.…

Signal Processing · Electrical Eng. & Systems 2020-04-24 Donatella Darsena , Giacinto Gelli , Ivan Iudice , Francesco Verde

Gaussian processes are widely used for accurate emulation of unknown surfaces in sequential design of expensive simulation experiments. Integrated mean squared error (IMSE) is an effective acquisition function for sequential designs based…

Statistics Theory · Mathematics 2026-04-23 Huanyan Zhu , Cheng Li

The mean squared error (MSE) is a ubiquitous loss function for speech enhancement, but its problem is that the error cannot reflect the auditory perception quality. This is because MSE causes models to over-emphasize low-frequency…

Sound · Computer Science 2025-11-11 Zixuan Li , Xueliang Zhang , Changjiang Zhao , Shuai Gao , Lei Miao , Zhipeng Yan , Ying Sun , Chong Zhu

This paper considers the problem of distributed estimation in wireless sensor networks (WSN), which is anticipated to support a wide range of applications such as the environmental monitoring, weather forecasting, and location estimation.…

Signal Processing · Electrical Eng. & Systems 2023-10-26 Meng He , Ran Li , Chuan Huang , Shulong Zhang

We consider the problem of distributed estimation of an unknown deterministic scalar parameter (the target signal) in a wireless sensor network (WSN), where each sensor receives a single snapshot of the field. We assume that the observation…

Information Theory · Computer Science 2015-10-09 Qing Zhou , Di Li , Soummya Kar , Lauren Huie , H. Vincent Poor , Shuguang Cui

Multiple-input multiple-output (MIMO) millimeter wave (mmWave) communication is a key technology for next generation wireless networks. One of the consequences of utilizing a large number of antennas with an increased bandwidth is that…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Mingjin Wang , Feifei Gao , Mark F. Flanagan , Nir Shlezinger , Yonina C. Eldar
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