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We aim at the construction of a Hidden Markov Model (HMM) of assigned complexity (number of states of the underlying Markov chain) which best approximates, in Kullback-Leibler divergence rate, a given stationary process. We establish, under…

Optimization and Control · Mathematics 2014-07-03 Lorenzo Finesso , Angela Grassi , Peter Spreij

Searches for continuous gravitational waves from unknown sources attempt to detect long-lasting gravitational radiation by identifying Doppler-modulated signatures in the data. Semicoherent methods allow for wide parameter space surveys,…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Rodrigo Tenorio , David Keitel , Alicia M. Sintes

For multivariate time series driven by underlying states, hidden Markov models (HMMs) constitute a powerful framework which can be flexibly tailored to the situation at hand. However, in practice it can be challenging to choose an adequate…

Methodology · Statistics 2023-02-14 Rouven Michels , Roland Langrock

We propose a new scheme for selecting pool states for the embedded Hidden Markov Model (HMM) Markov Chain Monte Carlo (MCMC) method. This new scheme allows the embedded HMM method to be used for efficient sampling in state space models…

Computation · Statistics 2016-07-12 Alexander Y. Shestopaloff , Radford M. Neal

Measurements of multiple harmonic modes in the gravitational wave signals from binary black hole events could provide an accurate test of general relativity, however they have never been observed before. The sub-dominant modes, other than…

General Relativity and Quantum Cosmology · Physics 2019-01-29 Brendan D. O'Brien , Carlos F. Da Silva Costa , Sergey Klimenko

We investigate a novel approach to measuring the Hubble constant using gravitational-wave (GW) signals from compact binaries by exploiting the narrowness of the distribution of masses of the underlying neutron-star population.…

General Relativity and Quantum Cosmology · Physics 2012-01-31 Stephen R. Taylor , Jonathan R. Gair , Ilya Mandel

The well-established methodology for the estimation of hidden semi-Markov models (HSMMs) as hidden Markov models (HMMs) with extended state spaces is further developed to incorporate covariate influences across all aspects of the state…

Methodology · Statistics 2024-05-24 Jan-Ole Koslik

We describe a novel, very fast and robust, directed search incoherent method for periodic gravitational waves (GWs) from neutron stars in binary systems. As directed search, we assume the source sky position to be known with enough…

Instrumentation and Methods for Astrophysics · Physics 2017-06-07 Paola Leaci , Pia Astone , Sabrina D'Antonio , Sergio Frasca , Cristiano Palomba , Ornella Piccinni , Simone Mastrogiovanni

The early inspiral from stellar-mass binary black holes (sBBHs) can emit milli-Hertz gravitational wave signals, making them detectable sources for space-borne gravitational wave missions like TianQin. However, the traditional matched…

Solar and Stellar Astrophysics · Physics 2025-01-08 Xue-Ting Zhang , Natalia Korsakova , Man Leong Chan , Chris Messenger , Yi-Ming Hu

This paper describes a new semi-coherent method to search for transient gravitational waves of intermediate duration (hours to days). In order to search for newborn isolated neutron stars with their possibly very rapid spin-down, we model…

General Relativity and Quantum Cosmology · Physics 2019-05-31 Miquel Oliver , David Keitel , Alicia M. Sintes

Cyber threat intelligence is one of the emerging areas of focus in information security. Much of the recent work has focused on rule-based methods and detection of network attacks using Intrusion Detection algorithms. In this paper we…

Machine Learning · Computer Science 2024-09-05 Soham Deshmukh , Rahul Rade , Faruk Kazi

As a relatively new field, network neuroscience has tended to focus on aggregate behaviours of the brain averaged over many successive experiments or over long recordings in order to construct robust brain models. These models are limited…

Neurons and Cognition · Quantitative Biology 2022-05-19 James Wilsenach , Katie Warnaby , Charlotte M. Deane , Gesine Reinert

We study an improved method for detecting gravitational wave (GW) signals from perturbed black holes by earth-based detectors in the quest for searching for intermediate-mass black holes (IMBHs). Such signals, called ringdowns, are damped…

General Relativity and Quantum Cosmology · Physics 2013-12-16 Dipongkar Talukder , Sukanta Bose , Sarah Caudill , Paul T. Baker

The problem of discrete universal filtering, in which the components of a discrete signal emitted by an unknown source and corrupted by a known DMC are to be causally estimated, is considered. A family of filters are derived, and are shown…

Information Theory · Computer Science 2007-07-13 Taesup Moon , Tsachy Weissman

Human motion plays an important role in many fields. Large databases exist that store and make available recordings of human motions. However, annotating each motion with multiple labels is a cumbersome and error-prone process. This…

Machine Learning · Computer Science 2016-05-06 Matthias Plappert

Multi-function radars (MFRs) are sophisticated types of sensors with the capabilities of complex agile inter-pulse modulation implementation and dynamic work mode scheduling. The developments in MFRs pose great challenges to modern…

Signal Processing · Electrical Eng. & Systems 2023-08-23 Jiadi Bao , Yunjie Li , Mengtao Zhu , Shafei Wang

In this study, we develop an approach to multivariate time series anomaly detection focused on the transformation of multivariate time series to univariate time series. Several transformation techniques involving Fuzzy C-Means (FCM)…

Artificial Intelligence · Computer Science 2025-11-12 Jinbo Li , Witold Pedrycz , Iqbal Jamal

Astrophysical compact binary systems consisting of neutron stars and blackholes are an important class of gravitational wave (GW) sources for advanced LIGO detectors. Accurate theoretical waveform models from the inspiral, merger and…

General Relativity and Quantum Cosmology · Physics 2017-11-15 Soumen Roy , Anand S. Sengupta , Nilay Thakor

We analyze the gravitational wave signals with a model-independent time-frequency analysis, which is improved from the Hilbert-Huang transform (HHT) and optimized for characterizing the frequency variability on the time-frequency map.…

High Energy Astrophysical Phenomena · Physics 2022-08-31 Chin-Ping Hu , Lupin Chun-Che Lin , Kuo-Chuan Pan , Kwan-Lok Li , Chien-Chang Yen , Albert K. H. Kong , C. Y. Hui

We present a test of the statistical method introduced by Bernard F. Shutz in 1986 using only gravitational waves to infer the Hubble constant ($\text{H}_0$) from GW190814, the first high-probability neutron-star--black-hole (NS-BH) merger…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-04 Sergiy Vasylyev , Alex Filippenko
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