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Dealing with time series with missing values, including those afflicted by low quality or over-saturation, presents a significant signal processing challenge. The task of recovering these missing values, known as imputation, has led to the…

Signal Processing · Electrical Eng. & Systems 2023-09-12 Joaquin Ruiz , Hau-tieng Wu , Marcelo A. Colominas

A common problem in the sciences is that a signal of interest is observed only indirectly, through smooth functionals of the signal whose values are then obscured by noise. In such inverse problems, the functionals dampen or entirely…

Methodology · Statistics 2012-07-04 Darren Homrighausen , Christopher R. Genovese

A recently discovered universal rank-based matrix method to extract trends from noisy time series is described in [1] but the formula for the output matrix elements, implemented there as an open-access supplement MATLAB computer code, is…

Data Analysis, Statistics and Probability · Physics 2020-06-24 D. J. Kestner , G. R. Ierley , A. B. Kostinski

In this paper, utilizing techniques in compressed sensing, parallel optimization and deep learning, we propose a model-driven approach to jointly design the common measurement matrix and GROUP LASSO-based jointly sparse signal recovery…

Information Theory · Computer Science 2020-02-10 Shuaichao Li , Wanqing Zhang , Ying Cui

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

The purpose of this paper is to introduce a very efficient algorithm for signal extrapolation. It can widely be used in many applications in image and video communication, e. g. for concealment of block errors caused by transmission errors…

Image and Video Processing · Electrical Eng. & Systems 2022-07-05 Jürgen Seiler , André Kaup

Wideband spectrum sensing detects the unused spectrum holes for dynamic spectrum access (DSA). Too high sampling rate is the main problem. Compressive sensing (CS) can reconstruct sparse signal with much fewer randomized samples than…

Information Theory · Computer Science 2012-04-16 Yipeng Liu , Qun Wan

The substantial memory demands of pre-training and fine-tuning large language models (LLMs) require memory-efficient optimization algorithms. One promising approach is layer-wise optimization, which treats each transformer block as a single…

Machine Learning · Computer Science 2026-01-15 Yuxi Liu , Renjia Deng , Yutong He , Xue Wang , Tao Yao , Kun Yuan

A key step in any resonant anomaly detection search is accurate modeling of the background distribution in each signal region. Data-driven methods like CATHODE accomplish this by training separate generative models on the complement of each…

High Energy Physics - Phenomenology · Physics 2025-04-08 Ranit Das , David Shih

This study addresses the task of performing robust and reliable time-delay estimation in signals in noisy and reverberating environments. In contrast to the popular signal processing based methods, this paper proposes to transform the input…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-03 Akshay Raina , Vipul Arora

We study forecasting capabilities of the methods of Singular Spectrum Analysis (SSA) and Local Approximation (LA). A practical implementation of these methods to several time series is described. Details of the algorithms of these methods…

Chaotic Dynamics · Physics 2007-05-23 A. Loskutov , I. Istomin , O. Kotlyarov

Noise simulation is a very powerful tool in signal analysis helping to foresee the system performance in real experimental situations. Time series generation is however a hard challenge when a robust model of the noise sources is missing.…

Data Analysis, Statistics and Probability · Physics 2015-05-19 M. Carrettoni , O. Cremonesi

Reconstruction of undersampled periodic signals of unknown period is an important signal processing operation. It is especially difficult operation when the sequences of samples are short and no information on the inter-sequence time…

Signal Processing · Electrical Eng. & Systems 2021-05-18 Marek W. Rupniewski

An entirely different approach is used for the extraction of preseismic electric signals from highly contaminated by noise data series. The basic element of this method is the "Dirac Delta Function". Noise is injected, instead of applying…

Geophysics · Physics 2008-07-29 C. Thanassoulas , V. Klentos , G. Verveniotis

Heart sound signals, phonocardiography (PCG) signals, allow for the automatic diagnosis of potential cardiovascular pathology. Such classification task can be tackled using the bidirectional long short-term memory (biLSTM) network, trained…

Sound · Computer Science 2026-04-16 Mahmoud Fakhry , Abeer FathAllah Brery

We present a novel algorithm aimed at identifying peaks within a uniformly sampled time series affected by uncorrelated Gaussian noise. The algorithm, called "MEPSA" (multiple excess peak search algorithm), essentially scans the time series…

Instrumentation and Methods for Astrophysics · Physics 2015-01-07 C. Guidorzi

Precise extraction of sinusoidal vibration parameters is essential for the dynamic calibration of vibration sensors, such as accelerometers. However, several standard methods have not yet been optimized for large background noise. In this…

Signal Processing · Electrical Eng. & Systems 2022-06-08 Tomofumi Shimoda , Wataru Kokuyama , Hideaki Nozato

In this article, we describe a new method of extracting information from signals, called functional dissipation, that proves to be very effective for enhancing classification of high resolution, texture-rich data. Our algorithm bypasses to…

Data Analysis, Statistics and Probability · Physics 2012-06-15 D. Napoletani , D. C. Struppa , T. Sauer , V. Morozov , N. Vsevolodov , C. Bailey

Whisking is a rhythmic and adaptive behavior that rodents use to probe and interact with their environment, and the frequency of movement reflects both sensorimotor processing and internal brain states. A robust and traditional method of…

Quantitative Methods · Quantitative Biology 2026-05-28 Guanghui Li , Fangyuan Li , Barbara Lykke Lind , Rune W Berg

We demonstrate that a sparse signal can be estimated from the phase of complex random measurements, in a "phase-only compressive sensing" (PO-CS) scenario. With high probability and up to a global unknown amplitude, we can perfectly recover…

Information Theory · Computer Science 2020-11-13 Laurent Jacques , Thomas Feuillen