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Channel charting (CC) consists in learning a mapping between the space of raw channel observations, made available from pilot-based channel estimation in multicarrier multiantenna system, and a low-dimensional space where close points…

Signal Processing · Electrical Eng. & Systems 2024-07-24 Taha Yassine , Luc Le Magoarou , Matthieu Crussière , Stephane Paquelet

The estimation of parameters in a linear model is considered under the hypothesis that the noise, with finite second order statistics, can be represented in a given deterministic basis by random coefficients. An extended underdetermined…

Statistics Theory · Mathematics 2014-05-06 Piero Barone , Isabella Lari

In approximation of functions based on point values, least-squares methods provide more stability than interpolation, at the expense of increasing the sampling budget. We show that near-optimal approximation error can nevertheless be…

Numerical Analysis · Mathematics 2024-02-14 Abdellah Chkifa , Matthieu Dolbeault

To find the least squares solution of a very large and inconsistent system of equations, one can employ the extended Kaczmarz algorithm. This method simultaneously removes the error term, such that a consistent system is asymptotically…

Numerical Analysis · Mathematics 2015-04-02 Stefania Petra , Constantin Popa

We propose super-resolution MIMO channel estimators for millimeter-wave (mmWave) systems that employ hybrid analog and digital beamforming and generalized spatial modulation, respectively. Exploiting the inherent sparsity of mmWave…

Information Theory · Computer Science 2018-01-24 Hongyun Chu , Le Zheng , Xiaodong Wang

To glean the benefits offered by massive multi-input multi-output (MIMO) systems, channel state information must be accurately acquired. Despite the high accuracy, the computational complexity of classical linear minimum mean squared error…

Information Theory · Computer Science 2024-04-23 Bin Li , Ziping Wei , Shaoshi Yang , Yang Zhang , Jun Zhang , Chenglin Zhao , Sheng Chen

We consider the problem of determining the optimal block (or subsample) size for a spatial subsampling method for spatial processes observed on regular grids. We derive expansions for the mean square error of the subsampling variance…

Statistics Theory · Mathematics 2007-06-13 Daniel J. Nordman , Soumendra N. Lahiri

Compact interferometers, called phasemeters, make it possible to operate over a large range while ensuring a high resolution. Such performance is required for the stabilization of large instruments dedicated to experimental physics such as…

Instrumentation and Methods for Astrophysics · Physics 2018-12-03 Jennifer Watchi , Sam Cooper , Binlei Ding , Conor M. Mow-Lowry , Christophe Collette

Extremely large aperture arrays can enable unprecedented spatial multiplexing in beyond 5G systems due to their extremely narrow beamfocusing capabilities. However, acquiring the spatial correlation matrix to enable efficient channel…

Information Theory · Computer Science 2024-02-05 Mert Alıcıoğlu , Özlem Tuğfe Demir , Emil Björnson

Solution intervals are often used to improve the signal-to-noise ratio during radio interferometric gain calibration. This work investigates how factors such as the noise level, intrinsic gain variability, degree of model incompleteness,…

Instrumentation and Methods for Astrophysics · Physics 2021-03-24 Ulrich Armel Mbou Sob , Hertzog Landman Bester , Oleg M. Smirnov , Jonathan Kenyon , Cyndie Russeeawon

We study methods for aggregating pairwise comparison data in order to estimate outcome probabilities for future comparisons among a collection of n items. Working within a flexible framework that imposes only a form of strong stochastic…

Machine Learning · Computer Science 2016-03-23 Nihar B. Shah , Sivaraman Balakrishnan , Martin J. Wainwright

The matrix factor model has drawn growing attention for its advantage in achieving two-directional dimension reduction simultaneously for matrix-structured observations. In this paper, we propose a simple iterative least squares algorithm…

Methodology · Statistics 2023-08-02 Yong He , Ran Zhao , Wen-Xin Zhou

The theory of semiparametric estimation offers an elegant way of computing the Cram\'er-Rao bound for a parameter of interest in the midst of infinitely many nuisance parameters. Here I apply the theory to the problem of moment estimation…

Image and Video Processing · Electrical Eng. & Systems 2019-10-09 Mankei Tsang

In this paper, we consider a problem of sampling a Wiener process, with samples forwarded to a remote estimator over a channel that is modeled as a queue. The estimator reconstructs an estimate of the real-time signal value from causally…

Information Theory · Computer Science 2019-08-20 Yin Sun , Yury Polyanskiy , Elif Uysal

We investigate iterative methods with randomized preconditioners for solving overdetermined least-squares problems, where the preconditioners are based on a random embedding of the data matrix. We consider two distinct approaches: the…

Numerical Analysis · Mathematics 2021-04-15 Jonathan Lacotte , Mert Pilanci

This letter describes a method for estimating regions of attraction and bounds on permissible perturbation amplitudes in nonlinear fluids systems. The proposed approach exploits quadratic constraints between the inputs and outputs of the…

Fluid Dynamics · Physics 2021-05-18 Aniketh Kalur , Talha Mushtaq , Peter Seiler , Maziar S. Hemati

Markov chain Monte Carlo samplers produce dependent streams of variates drawn from the limiting distribution of the Markov chain. With this as motivation, we introduce novel univariate kernel density estimators which are appropriate for the…

Methodology · Statistics 2016-07-29 Hang J. Kim , Steven N. MacEachern , Yoonsuh Jung

In this paper a new technique aimed to obtain accurate estimates of the error in energy norm using a moving least squares (MLS) recovery-based procedure is presented. We explore the capabilities of a recovery technique based on an enhanced…

Numerical Analysis · Mathematics 2012-09-03 J. J. Ródenas , Octavio Andrés González Estrada , F. J. Fuenmayor , F. Chinesta

This paper presents a linear least squares method for fiber-longitudinal power profile estimation (PPE), which estimates an optical signal power distribution throughout a fiber-optic link at a coherent receiver. The method finds the global…

Signal Processing · Electrical Eng. & Systems 2023-11-10 Takeo Sasai , Minami Takahashi , Masanori Nakamura , Etsushi Yamazaki , Yoshiaki Kisaka

In this work, we propose a mean-squared error-based risk that enables the comparison and optimization of estimators of squared calibration errors in practical settings. Improving the calibration of classifiers is crucial for enhancing the…

Machine Learning · Computer Science 2025-02-24 Sebastian G. Gruber , Francis Bach