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We investigate the problem of deriving posterior concentration rates under different loss functions in nonparametric Bayes. We first provide a lower bound on posterior coverages of shrinking neighbourhoods that relates the metric or loss…

Statistics Theory · Mathematics 2015-11-06 Marc Hoffmann , Judith Rousseau , Johannes Schmidt-Hieber

Optimal designs minimize the number of experimental runs (samples) needed to accurately estimate model parameters, resulting in algorithms that, for instance, efficiently minimize parameter estimate variance. Governed by knowledge of past…

Methodology · Statistics 2023-02-03 Nicholas W. Barendregt , Emily G. Webb , Zachary P. Kilpatrick

Extremely large antenna arrays and high-frequency operation are two key technologies that advance performance metrics such as higher data rates, lower latency, and wider coverage in sixth-generation communications. However, the adoption of…

Signal Processing · Electrical Eng. & Systems 2026-02-26 Van-Chung Luu , Toan-Van Nguyen , Nuria González-Prelcic , Duy H. N. Nguyen

In this paper, we implement hybrid Woodward-Lawson-Neural Networks and weighted Fourier method to synthesize antenna arrays. The neural networks (NN) is applied here to simplify the modeling of MIMO antenna arrays by assessing phases. The…

Signal Processing · Electrical Eng. & Systems 2019-12-03 Elies Ghayoula , Ridha Ghayoula , Jaouhar Fattahi , Emil Pricop , Jean-Yves Chouinard , Ammar Bouallegue

General requirements for radar digital signal processing are ionospheric distortion and Doppler dispersion correction, which has historically required radar-specific hardware to implement in real time. Although analog solutions are…

Signal Processing · Electrical Eng. & Systems 2025-09-30 Daniel J. Vickers , A. H. Mack , Idahosa A. Osaretin

In the density estimation model, we investigate the problem of constructing adaptive honest confidence sets with radius measured in Wasserstein distance $W_p$, $p\geq1$, and for densities with unknown regularity measured on a Besov scale.…

Statistics Theory · Mathematics 2021-11-18 Neil Deo , Thibault Randrianarisoa

We consider a mixed analog-to-digital converter (ADC) based architecture consisting of high-precision and one-bit ADCs with the antenna-varying threshold for direction of arrival (DOA) estimation using a uniform linear array (ULA), which…

Signal Processing · Electrical Eng. & Systems 2024-03-15 Xinnan Zhang , Yuanbo Cheng , Xiaolei Shang , Jun Liu

We consider multiperiod stochastic control problems with non-parametric uncertainty on the underlying probabilistic model. We derive a new metric on the space of probability measures, called the adapted $(p, \infty)$--Wasserstein distance…

Optimization and Control · Mathematics 2024-11-01 Ruslan Mirmominov , Johannes Wiesel

Flexible Bayesian models are typically constructed using limits of large parametric models with a multitude of parameters that are often uninterpretable. In this article, we offer a novel alternative by constructing an exponentially tilted…

Methodology · Statistics 2023-03-20 Abhisek Chakraborty , Anirban Bhattacharya , Debdeep Pati

We propose a novel adaptive importance sampling scheme for Bayesian inversion problems where the inference of the variables of interest and the power of the data noise is split. More specifically, we consider a Bayesian analysis for the…

Computation · Statistics 2021-07-27 L. Martino , F. Llorente , E. Curbelo , J. Lopez-Santiago , J. Miguez

Recent advancements in Deep Learning (DL) for Direction of Arrival (DOA) estimation have highlighted its superiority over traditional methods, offering faster inference, enhanced super-resolution, and robust performance in low…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Ruxin Zheng , Shunqiao Sun , Hongshan Liu , Honglei Chen , Mojtaba Soltanalian , Jian Li

This letter addresses the detection problem of dim maneuvering targets in the presence of range cell migration. Specifically, it is assumed that the moving target can appear in more than one range cell within the transmitted pulse train.…

Signal Processing · Electrical Eng. & Systems 2021-05-05 Sheng Yan , Pia Addabbo , Chengpeng Hao , Danilo Orlando

This paper presents an end-to-end deep learning framework using passive WiFi sensing to classify and estimate human respiration activity. A passive radar test-bed is used with two channels where the first channel provides the reference WiFi…

Computer Vision and Pattern Recognition · Computer Science 2017-04-20 U. M. Khan , Z. Kabir , S. A. Hassan , S. H. Ahmed

In this paper, we address the fundamental problem of line spectral estimation in a Bayesian framework. We target model order and parameter estimation via variational inference in a probabilistic model in which the frequencies are…

Information Theory · Computer Science 2017-04-05 Mihai-Alin Badiu , Thomas Lundgaard Hansen , Bernard Henri Fleury

In this paper, we consider the channel estimation problem in Millimeter wave (mmWave) wireless systems with large antenna arrays. By exploiting the inherent sparse nature of the mmWave channel, we develop a novel rate-adaptive channel…

Information Theory · Computer Science 2016-09-12 Matthew Kokshoorn , He Chen , Yonghui Li , Branka Vucetic

In this paper, we look to address the problem of estimating the dynamic direction of arrival (DOA) of a narrowband signal impinging on a sensor array from the far field. The initial estimate is made using a Bayesian compressive sensing…

Machine Learning · Statistics 2015-09-22 Matthew Hawes , Lyudmila Mihaylova , Francois Septier , Simon Godsill

In the present paper, we derive lower bounds for the risk of the nonparametric empirical Bayes estimators. In order to attain the optimal convergence rate, we propose generalization of the linear empirical Bayes estimation method which…

Statistics Theory · Mathematics 2013-06-12 Rida Benhaddou , Marianna Pensky

In order to reach the sensitivity required to detect gravitational waves, pulsar timing array experiments need to mitigate as much noise as possible in timing data. A dominant amount of noise is likely due to variations in the dispersion…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 K. J. Lee , C. G. Bassa , G. H. Janssen , R. Karuppusamy , M. Kramer , K. Liu , D. Perrodin , R. Smits , B. W. Stappers , R. van Haasteren , L. Lentati

We firstly extend the interpretation of feedback communication over stationary finite dimensional Gaussian channels as feedback control systems by showing that, the problem of finding stabilizing feedback controllers with maximal reliable…

Information Theory · Computer Science 2015-12-01 Chong Li , Nicola Elia

The ability of a radar to discriminate in both range and Doppler velocity is completely characterized by the ambiguity function (AF) of its transmit waveform. Mathematically, it is obtained by correlating the waveform with its…

Signal Processing · Electrical Eng. & Systems 2024-06-11 Samuel Pinilla , Kumar Vijay Mishra , Brian M. Sadler , Henry Arguello
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