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We address the issue of applying quantized compressed sensing (CS) on low-energy telemonitoring. So far, few works studied this problem in applications where signals were only approximately sparse. We propose a two-stage data compressor…

Information Theory · Computer Science 2015-06-09 Benyuan Liu , Hongqi Fan , Qiang Fu , Zhilin Zhang

In this work, we introduce a novel framework which combines physics and machine learning methods to analyse acoustic signals. Three methods are developed for this task: a Bayesian inference approach for inferring the spectral acoustics…

Sound · Computer Science 2023-05-30 Yongchao Huang , Yuhang He , Hong Ge

Flexible and accurate noise characterization is crucial for the precise estimation of gravitational-wave parameters. We introduce a Bayesian method for estimating the power spectral density (PSD) of long, stationary time series, explicitly…

General Relativity and Quantum Cosmology · Physics 2026-03-26 Nazeela Aimen , Patricio Maturana-Russel , Avi Vajpeyi , Nelson Christensen , Renate Meyer

This paper studies a problem of Bayesian parameter estimation for a sequence of scaled counting processes whose weak limit is a Brownian motion with an unknown drift. The main result of the paper is that the limit of the posterior…

Statistics Theory · Mathematics 2015-03-19 Asaf Cohen

The sparsity of multipaths in the wideband channel has motivated the use of compressed sensing for channel estimation. In this letter, we propose a different approach to sparse channel estimation. We exploit the fact that $L$ taps of…

Information Theory · Computer Science 2022-01-24 Woong-Hee Lee , Ki Won Sung

Intuitive human-machine interfaces may be developed using pattern classification to estimate executed human motions from electromyogram (EMG) signals generated during muscle contraction. The continual use of EMG-based interfaces gradually…

Signal Processing · Electrical Eng. & Systems 2023-10-03 Seitaro Yoneda , Akira Furui

This technical note considers the identification of nonlinear discrete-time systems with additive process noise but without measurement noise. In particular, we propose a method and its associated algorithm to identify the system nonlinear…

Optimization and Control · Mathematics 2015-04-27 Wei Pan , Ye Yuan , Jorge Gonçalves , Guy-Bart Stan

The focus in this paper is Bayesian system identification based on noisy incomplete modal data where we can impose spatially-sparse stiffness changes when updating a structural model. To this end, based on a similar hierarchical sparse…

Applications · Statistics 2017-02-07 Yong Huang , James L. Beck , Hui Li

In axion models, interactions between axions and electromagnetic waves induce frequency-dependent time delays determined by the axion mass and decay constant. These small delays are difficult to detect, limiting the effectiveness of…

High Energy Astrophysical Phenomena · Physics 2025-10-29 Haihao Shi , Zhenyang Huang , Qiyu Yan , Jun Li , Guoliang Lü , Xuefei Chen

This paper investigates the robust wideband channel estimation problem in the millimeter-wave (mmWave) massive multiple-input multiple-output (MIMO) systems. In such a scenario, the beam squint effect that the array response vectors vary…

Signal Processing · Electrical Eng. & Systems 2024-09-25 Li Ge , Lin Chen , Xue Jiang , Weifeng Zhu , Qibo Qin , Xingzhao Liu

This paper presents a model for head and body pose estimation (HBPE) when labelled samples are highly sparse. The current state-of-the-art multimodal approach to HBPE utilizes the matrix completion method in a transductive setting to…

Computer Vision and Pattern Recognition · Computer Science 2018-08-07 Stephanie Tan , Hayley Hung

We compare the accuracy, precision and reliability of different methods for estimating key system parameters for two-level systems subject to Hamiltonian evolution and decoherence. It is demonstrated that the use of Bayesian modelling and…

Quantum Physics · Physics 2019-10-15 Sophie Schirmer , Frank Langbein

Likelihood-based inference in stochastic non-linear dynamical systems, such as those found in chemical reaction networks and biological clock systems, is inherently complex and has largely been limited to small and unrealistically simple…

Computation · Statistics 2024-07-08 Ben Swallow , David A. Rand , Giorgos Minas

We propose a recursive Bayesian estimation procedure for multivariate autoregressive models with exogenous inputs based on message passing in a factor graph. Unlike recursive least-squares, our method produces full posterior distributions…

Signal Processing · Electrical Eng. & Systems 2025-06-04 T. N. Nisslbeck , Wouter M. Kouw

The analysis of gravitational wave interferometer data requires estimates for the noise covariance matrix. For stationary noise, this amounts to estimating the power spectrum. Classical methods such as Welch averaging are used in many…

General Relativity and Quantum Cosmology · Physics 2024-03-05 Toral Gupta , Neil Cornish

As an alternative to variable selection or shrinkage in high dimensional regression, we propose to randomly compress the predictors prior to analysis. This dramatically reduces storage and computational bottlenecks, performing well when the…

Machine Learning · Statistics 2013-03-26 Rajarshi Guhaniyogi , David B. Dunson

Purpose: Machine learning is broadly used for clinical data analysis. Before training a model, a machine learning algorithm must be selected. Also, the values of one or more model parameters termed hyper-parameters must be set. Selecting…

Machine Learning · Computer Science 2018-12-10 Xueqiang Zeng , Gang Luo

This paper studies a formulation of 1-bit Compressed Sensing (CS) problem based on the maximum likelihood estimation framework. In order to solve the problem we apply the recently proposed Gradient Support Pursuit algorithm, with a minor…

Information Theory · Computer Science 2013-04-25 Sohail Bahmani , Petros T. Boufounos , Bhiksha Raj

A key component of cognitive radar is the ability to generalize, or achieve consistent performance across a range of sensing environments, since aspects of the physical scene may vary over time. This presents a challenge for learning-based…

Information Theory · Computer Science 2023-02-08 Charles E. Thornton , R. Michael Buehrer , Anthony F. Martone

Time delay estimation plays a critical role in control, stabilization and state estimation of many practical system with time delay. In this paper, we propose a method to estimate delay for discrete time linear multiple-input…

Systems and Control · Electrical Eng. & Systems 2021-09-08 Iman Shafikhani , Hazhar Sufi Karimi , Mohammad Mohammadian , Amin Ramezani , Hamid Reza Momeni