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Recent work in time-frequency analysis proposed to switch the focus from the maxima of the spectrogram toward its zeros, which, for signals corrupted by Gaussian noise, form a random point pattern with a very stable structure leveraged by…

Signal Processing · Electrical Eng. & Systems 2023-02-07 Barbara Pascal , Rémi Bardenet

This paper considers the problem of sequentially detecting a change in the joint distribution of multiple data sources under a sampling constraint. Specifically, the channels or sources generate observations that are independent over time,…

Methodology · Statistics 2024-03-26 Anamitra Chaudhuri , Georgios Fellouris , Ali Tajer

This paper examines signal detection in the presence of noise, with a particular emphasis to the nuclear activation analysis. The problem is to decide what between the signal-plus-background and no-signal hypotheses fits better the data and…

Data Analysis, Statistics and Probability · Physics 2013-01-09 Luigi Bergamaschi , Giancarlo D'Agostino , Laura Giordani , Giovanni Mana , Massimo Oddone

Seismic data noise processing is an important part of seismic exploration data processing, and the effect of noise elimination is directly related to the follow-up processing of data. In response to this problem, many authors have proposed…

Geophysics · Physics 2024-10-28 Junheng Peng , Yong Li , Zhangquan Liao , Xuben Wang , Xingyu Yang

Microscopic theory of counting statistics of electrical noise is reviewed. We discuss a model of passive charge detector based on current fluctuations coupled to a spin, and its relation with the theory of photon counting in quantum optics.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 L. S. Levitov

The present generation of weak lensing surveys will be superseded by surveys run from space with much better sky coverage and high level of signal to noise ratio, such as SNAP. However, removal of any systematics or noise will remain a…

Astrophysics · Physics 2009-11-10 Dipak Munshi , Patrick Valageas

This article discusses a generalization of the 1-dimensional multi-reference alignment problem. The goal is to recover a hidden signal from many noisy observations, where each noisy observation includes a random translation and random…

Signal Processing · Electrical Eng. & Systems 2021-07-06 Matthew Hirn , Anna Little

This paper proposes a subspace decomposition method based on an over-complete dictionary in sparse representation, called "Sparse Signal Subspace Decomposition" (or 3SD) method. This method makes use of a novel criterion based on the…

Machine Learning · Statistics 2016-10-28 Hong Sun , Chengwei Sang , Didier Le Ruyet

Many experiments record sequential trajectories where each trajectory consists of oscillations and fluctuations around zero. Such trajectories can be viewed as zero-mean functional data. When there are structural breaks (on the sequence of…

Methodology · Statistics 2022-05-11 Shuhao Jiao , Ron D. Frostig , Hernando Ombao

In this paper, multiplexing of discrete chaotic signals in the presence of noise is investigated. Existing methods are based on chaotic synchronization which is susceptible to noise and parameter mismatch. Furthermore, these methods fail…

Chaotic Dynamics · Physics 2015-05-13 Nithin Nagaraj , Prabhakar G. Vaidya

We consider the problem of making a quick decision in favor of one of two possible physical signal models while the numerical measurements are acquired by sensing devices featuring minimal digitization complexity. Therefore, the digital…

Signal Processing · Electrical Eng. & Systems 2019-10-29 Manuel S. Stein , Michael Fauß

We address the problem of detection and estimation of one or two change-points in the mean of a series of random variables. We use the formalism of set estimation in regression: To each point of a design is attached a binary label that…

Statistics Theory · Mathematics 2018-09-07 Victor-Emmanuel Brunel

Sequential change-point detection for time series enables us to sequentially check the hypothesis that the model still holds as more and more data are observed. It is widely used in data monitoring in practice. In this work, we consider…

Methodology · Statistics 2025-09-10 Yajun Liu , Beth Andrews

Signal extraction out of background noise is a common challenge in high precision physics experiments, where the measurement output is often a continuous data stream. To improve the signal to noise ratio of the detection, witness sensors…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Gabriele Vajente , Yiwen Huang , Maximiliano Isi , Jenne C. Driggers , Jeffrey S. Kissel , Marek J. Szczepanczyk , Salvatore Vitale

Recent advances in deep learning have relied on large, labelled datasets to train high-capacity models. However, collecting large datasets in a time- and cost-efficient manner often results in label noise. We present a method for learning…

Computer Vision and Pattern Recognition · Computer Science 2022-07-07 Ahmet Iscen , Jack Valmadre , Anurag Arnab , Cordelia Schmid

This work delves into presenting a probabilistic method for analyzing linear process data with weakly dependent innovations, focusing on detecting change-points in the mean and estimating its spectral density. We develop a test for…

Statistics Theory · Mathematics 2024-10-01 Ramkrishna Jyoti Samanta

We propose a new testing procedure for detecting localized departures from monotonicity of a signal embedded in white noise. In fact, we perform simultaneously several tests that aim at detecting departures from concavity for the integrated…

Statistics Theory · Mathematics 2014-03-10 Nathalie Akakpo , Fadoua Balabdaoui , Cécile Durot

Detecting early warning signals in climatic time series is essential for anticipating critical transitions and tipping points. Common statistical indicators include increased variance and lag-one autocorrelation prior to bifurcation points.…

Methodology · Statistics 2026-02-11 Sigrunn H. Sørbye , Eirik Myrvoll-Nilsen , Håvard Rue

The leading workhorse of anomaly (and attack) detection in the literature has been residual-based detectors, where the residual is the discrepancy between the observed output provided by the sensors (inclusive of any tampering along the…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Navid Hashemi , Eduardo Verdugo German , Jonatan Pena Ramirez , Justin Ruths

Detecting critical transitions in complex, noisy time-series data is a fundamental challenge across science and engineering. Such transitions may be anticipated by the emergence of a low-dimensional order parameter, whose signature is often…

Machine Learning · Computer Science 2025-12-16 Wenqi Fang , Ye Li
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