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In this paper, we consider multiple signals sharing same instantaneous frequencies. This kind of data is very common in scientific and engineering problems. To take advantage of this special structure, we modify our data-driven…

Information Theory · Computer Science 2015-07-09 Thomas Y. Hou , Zuoqiang Shi

Stabilization of linear systems with unknown dynamics is a canonical problem in adaptive control. Since the lack of knowledge of system parameters can cause it to become destabilized, an adaptive stabilization procedure is needed prior to…

Systems and Control · Computer Science 2018-07-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

Forecasting the evolution of complex systems is one of the grand challenges of modern data science. The fundamental difficulty lies in understanding the structure of the observed stochastic process. In this paper, we show that every…

Statistics Theory · Mathematics 2020-01-01 Xiucai Ding , Zhou Zhou

This paper presents an enhanced adaptive random Fourier features (ARFF) training algorithm for shallow neural networks, building upon the work introduced in "Adaptive Random Fourier Features with Metropolis Sampling", Kammonen et al.,…

Machine Learning · Computer Science 2025-05-01 Aku Kammonen , Anamika Pandey , Erik von Schwerin , Raúl Tempone

This contribution is devoted to the comparison of various resampling approaches that have been proposed in the literature on particle filtering. It is first shown using simple arguments that the so-called residual and stratified methods do…

Computational Engineering, Finance, and Science · Computer Science 2016-08-16 Randal Douc , Olivier Cappé , Eric Moulines

Two characteristics that make convex decomposition algorithms attractive are simplicity of operations and generation of parallelizable structures. In principle, these schemes require that all coordinates update at the same time, i.e., they…

Optimization and Control · Mathematics 2018-03-07 Giorgos Stathopoulos , Colin N. Jones

A useful sampling-reconstruction model should be stable with respect to different kind of small perturbations, regardless whether they result from jitter, measurement errors, or simply from a small change in the model assumptions. In this…

General Mathematics · Mathematics 2007-05-31 E. costa-Reyes , A. Aldroubi , I. Krishtal

Particle filters provide Monte Carlo approximations of intractable quantities such as point-wise evaluations of the likelihood in state space models. In many scenarios, the interest lies in the comparison of these quantities as some…

Methodology · Statistics 2016-07-19 Pierre E. Jacob , Fredrik Lindsten , Thomas B. Schön

The least-absolute shrinkage and selection operator (LASSO) is a regularization technique for estimating sparse signals of interest emerging in various applications and can be efficiently solved via the alternating direction method of…

Information Theory · Computer Science 2022-08-25 Huiyue Yi , Yan Xu , Wuxiong Zhang , Hui Xu

Many real-life signals are defined on spherical domains, in particular in geophysics and physics applications. In this work, we tackle the problem of extending the iterative filtering algorithm, developed for the decomposition of…

Numerical Analysis · Mathematics 2023-12-01 Giovanni Barbarino , Roberto Cavassi , Antonio Cicone

Adaptive filtering algorithms are commonplace in signal processing and have wide-ranging applications from single-channel denoising to multi-channel acoustic echo cancellation and adaptive beamforming. Such algorithms typically operate via…

Sound · Computer Science 2021-10-11 Jonah Casebeer , Nicholas J. Bryan , Paris Smaragdis

Input estimation is a signal processing technique associated with deconvolution of measured signals after filtering through a known dynamic system. Kitanidis and others extended this to the simultaneous estimation of the input signal and…

Systems and Control · Electrical Eng. & Systems 2020-08-24 Mohammad Ali Abooshahab , Mohammed M. J. Alyaseen , Robert R. Bitmead , Morten Hovd

Policy iteration is one of the classical frameworks of reinforcement learning, which requires a known initial stabilizing control. However, finding the initial stabilizing control depends on the known system model. To relax this requirement…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Dongdong Li , Jiuxiang Dong

The classical sparse parameter identification methods are usually based on the iterative basis selection such as greedy algorithms, or the numerical optimization of regularized cost functions such as LASSO and Bayesian posterior probability…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Yanxin Fu , Wenxiao Zhao

Recursive Bayesian filters have been widely deployed in structural system identification where output-only filters are of higher practicality. Unfortunately, the estimation obtained by instantaneous system inversion via filters can be…

Applications · Statistics 2024-07-30 Zihao Liu , Mohsen Ebrahimzadeh Hassanabadi , Daniel Dias-da-Costa

This letter proposes a new time domain absorption approach designed to reduce masking components of speech signals under noisy-reverberant conditions. In this method, the non-stationarity of corrupted signal segments is used to detect…

Audio and Speech Processing · Electrical Eng. & Systems 2020-02-19 G. Zucatelli , R. Coelho

Modern time series are usually composed of multiple oscillatory components, with time-varying frequency and amplitude contaminated by noise. The signal processing mission is further challenged if each component has an oscillatory pattern,…

Signal Processing · Electrical Eng. & Systems 2021-10-04 Marcelo A. Colominas , Hau-Tieng Wu

In the past few years, the problem of distributed consensus has received a lot of attention, particularly in the framework of ad hoc sensor networks. Most methods proposed in the literature address the consensus averaging problem by…

Information Theory · Computer Science 2009-11-13 Effrosyni Kokiopoulou , Pascal Frossard

In this paper, we embark on a captivating exploration of the stabilization of locally transmitted problems within the realm of two interconnected wave systems. To begin, we wield the formidable Arendt-Batty criteria\cite{AW} to affirm the…

Analysis of PDEs · Mathematics 2023-10-13 Wafa Ahmedi , Akram Ben Aissa

We study stability issue of reset and impulsive switched systems. We find time constraints (dwell time and flee time) on switching signals which stabilize a given reset switched system. For a given collection of matrices, we find an…

Dynamical Systems · Mathematics 2023-06-21 Swapnil Tripathi , Nikita Agarwal
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