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We consider the problem of detecting (testing) Gaussian stochastic sequences (signals) with imprecisely known means and covariance matrices. The alternative is independent identically distributed zero-mean Gaussian random variables with…

Information Theory · Computer Science 2023-02-28 Marat V. Burnashev

We consider the problem of estimating expectations with respect to a target distribution with an unknown normalizing constant, and where even the unnormalized target needs to be approximated at finite resolution. Under such an assumption,…

Numerical Analysis · Mathematics 2023-06-29 Xinzhu Liang , Shangda Yang , Simon L. Cotter , Kody J. H. Law

The maintenance of sewerage networks, with their millions of kilometers of pipe, heavily relies on efficient Closed-Circuit Television (CCTV) inspections. Many promising approaches based on multi-label image classification have leveraged…

Computer Vision and Pattern Recognition · Computer Science 2024-10-11 Keryan Chelouche , Marie Lachaize , Marine Bernard , Louise Olgiati , Remi Cuingnet

The problem of identifying regions of spatially interesting, different or adversarial behavior is inherent to many practical applications involving distributed multisensor systems. In this work, we develop a general framework stemming from…

Signal Processing · Electrical Eng. & Systems 2022-06-14 Martin Gölz , Abdelhak M. Zoubir , Visa Koivunen

Cross-spectral analysis is a mathematical tool for extracting the power spectral density of a correlated signal from two time series in the presence of uncorrelated interfering signals. We demonstrate and explain a set of conditions where…

Instrumentation and Detectors · Physics 2013-07-26 Craig W. Nelson , Archita Hati , David A. Howe

Stellar oscillations can provide a wealth of information about a star, which can be extracted from observed time series of the star's brightness or radial velocity. In this paper we address the question of how to extract as much information…

Astrophysics · Physics 2008-11-26 Brendon J. Brewer , Timothy R. Bedding , Hans Kjeldsen , Dennis Stello

Sequential Monte Carlo (SMC) methods are a class of techniques to sample approximately from any sequence of probability distributions using a combination of importance sampling and resampling steps. This paper is concerned with the…

Statistics Theory · Mathematics 2012-03-05 Pierre Del Moral , Arnaud Doucet , Ajay Jasra

Monte Carlo (MC) permutation test is considered the gold standard for statistical hypothesis testing, especially when standard parametric assumptions are not clear or likely to fail. However, in modern data science settings where a large…

Methodology · Statistics 2019-05-21 Martin J. Zhang , James Zou , David Tse

We devise a Monte Carlo based method for detecting whether a non-negative Markov chain is stable for a given set of parameter values. More precisely, for a given subset of the parameter space, we develop an algorithm that is capable of…

Probability · Mathematics 2016-08-11 Michel Mandjes , Brendan Patch , Neil Walton

In this work the significance of treating a set of measurements as a time series is being explored. Time Series Analysis (TSA) techniques, part of the Exploratory Data Analysis (EDA) approach, can provide much insight regarding the…

Data Analysis, Statistics and Probability · Physics 2012-03-01 Dimitra Georgakaki , Chris Mitsas , Hariton Polatoglou

Spectral subsampling MCMC was recently proposed to speed up Markov chain Monte Carlo (MCMC) for long stationary univariate time series by subsampling periodogram observations in the frequency domain. This article extends the approach to…

Methodology · Statistics 2022-09-20 Mattias Villani , Matias Quiroz , Robert Kohn , Robert Salomone

The discovery of patterns that accurately discriminate one class label from another remains a challenging data mining task. Subgroup discovery (SD) is one of the frameworks that enables to elicit such interesting hypotheses from labeled…

Data Structures and Algorithms · Computer Science 2017-12-07 Guillaume Bosc , Jean-François Boulicaut , Chedy Raïssi , Mehdi Kaytoue

Anomaly detection on multivariate time-series is of great importance in both data mining research and industrial applications. Recent approaches have achieved significant progress in this topic, but there is remaining limitations. One major…

Machine Learning · Computer Science 2020-09-07 Hang Zhao , Yujing Wang , Juanyong Duan , Congrui Huang , Defu Cao , Yunhai Tong , Bixiong Xu , Jing Bai , Jie Tong , Qi Zhang

The Monte Carlo algorithm is increasingly utilized, with its central step involving computer-based random sampling from stochastic models. While both Markov Chain Monte Carlo (MCMC) and Reject Monte Carlo serve as sampling methods, the…

Computation · Statistics 2024-02-28 Fengyu Li , Huijiao Yu , Jun Yan , Xianyong Meng

We introduce a revised derivation of the bitwise Markov Chain Monte Carlo (MCMC) multiple-input multiple-output (MIMO) detector. The new approach resolves the previously reported high SNR stalling problem of MCMC without the need for…

Information Theory · Computer Science 2017-07-13 Jonathan C. Hedstrom , Chung Him , Yuen , Rong-Rong Chen , Behrouz Farhang-Boroujeny

We consider multi-antenna cooperative spectrum sensing in cognitive radio networks, when there may be multiple primary users. A noise-uncertainty-free detector that is optimal in the low signal to noise ratio regime is analyzed in such a…

Information Theory · Computer Science 2012-03-29 Lu Wei , Prathapasinghe Dharmawansa , Olav Tirkkonen

The Laser Interferometer Space Antenna (LISA) will produce a data stream containing a vast number of overlapping sources: from strong signals generated by the coalescence of massive black hole binary systems to much weaker radiation form…

General Relativity and Quantum Cosmology · Physics 2009-11-11 E. D. L. Wickham , A. Stroeer , A. Vecchio

Monte Carlo (MC) techniques are often used to estimate integrals of a multivariate function using randomly generated samples of the function. In light of the increasing interest in uncertainty quantification and robust design applications…

Machine Learning · Statistics 2011-08-25 Brendan Tracey , David Wolpert , Juan J. Alonso

Sequential Monte Carlo (SMC) is a methodology for sampling approximately from a sequence of probability distributions of increasing dimension and estimating their normalizing constants. We propose here an alternative methodology named…

Statistics Theory · Mathematics 2012-11-13 Anthony Brockwell , Pierre Del Moral , Arnaud Doucet

One of the greatest data analysis challenges for the Laser Interferometer Space Antenna (LISA) is the need to account for a large number of gravitational wave signals from compact binary systems expected to be present in the data. We…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Richard Umstätter , Nelson Christensen , Martin Hendry , Renate Meyer , Vimal Simha , John Veitch , Sarah Vigeland , Graham Woan
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