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The computational singular perturbation (CSP) method is an algorithm which iteratively approximates slow manifolds and fast fibers in multiple-timescale dynamical systems. Since its inception due to Lam and Goussis, the convergence of the…

Dynamical Systems · Mathematics 2019-06-17 Ian Lizarraga , Martin Wechselberger

We introduce a highly-parallelizable architecture for estimating parameters of compact binary coalescence using gravitational-wave data and waveform models. Using a spherical harmonic mode decomposition, the waveform is expressed as a sum…

General Relativity and Quantum Cosmology · Physics 2015-08-06 C. Pankow , P. Brady , E. Ochsner , R. O'Shaughnessy

Gravitational waves (GWs) emanated by stellar mass compact binary coalescences (CBCs), and lensed by galaxy- or cluster-scale lenses, will produce two or more copies of the GW signal. These will have identical phase evolution but differing…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Sudhir Gholap , Kanchan Soni , Shasvath J. Kapadia , Sanjeev Dhurandhar

Matched-filtering detection techniques for gravitational-wave (GW) signals in ground-based interferometers rely on having well-modeled templates of the GW emission. Such techniques have been traditionally used in searches for compact binary…

Coherent wide parameter-space searches for continuous gravitational waves are typically limited in sensitivity by their prohibitive computing cost. Therefore semi-coherent methods (such as StackSlide) can often achieve a better sensitivity.…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Reinhard Prix , Miroslav Shaltev

As a typical self-paced brain-computer interface (BCI) system, the motor imagery (MI) BCI has been widely applied in fields such as robot control, stroke rehabilitation, and assistance for patients with stroke or spinal cord injury. Many…

Quantitative Methods · Quantitative Biology 2023-10-31 Xiong Xiong , Ying Wang , Tianyuan Song , Jinguo Huang , Guixia Kang

Chain Event Graphs (CEGs) are a widely applicable class of probabilistic graphical model that can represent context-specific independence statements and asymmetric unfoldings of events in an easily interpretable way. Existing model…

Methodology · Statistics 2022-06-20 Peter Strong , Jim Q Smith

We review and expand on a Bayesian model selection technique for the detection of gravitational waves from neutron star ring-downs associated with pulsar glitches. The algorithm works with power spectral densities constructed from…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J Clark , I S Heng , M Pitkin , G Woan

Pulsar timing arrays (PTAs) are essential tools for detecting the stochastic gravitational wave background (SGWB), but their analysis faces significant computational challenges. Traditional methods like Markov-chain Monte Carlo (MCMC)…

Instrumentation and Methods for Astrophysics · Physics 2024-12-30 Bo Liang , Chang Liu , Tianyu Zhao , Minghui Du , Manjia Liang , Ruijun Shi , Hong Guo , Yuxiang Xu , Li-e Qiang , Peng Xu , Wei-Liang Qian , Ziren Luo

This paper reviews gravitational wave sources and their detection. One of the most exciting potential sources of gravitational waves are coalescing binary black hole systems. They can occur on all mass scales and be formed in numerous ways,…

Instrumentation and Methods for Astrophysics · Physics 2016-02-19 Hyung Mok Lee , Eric-Olivier Le Bigot , ZhiHui Du , ZhangXi Lin , XiangYu Guo , LinQing Wen , Khun Sang Phukon , Vihan Pandey , Sukanta Bose , Xi-Long Fan , Martin Hendry

During oscillations of cosmology inflation around the minimum of a cuspy potential after inflation, the existence of extra high frequency gravitational waves (HFGWs) (GHz) has been proven effectively recently. Based on the electromagnetic…

Data Analysis, Statistics and Probability · Physics 2019-10-18 Li Li Wang , Jin Li , Nan Yang , Xin Li

Brain computer interface (BCI) is the only way for some special patients to communicate with the outside world and provide a direct control channel between brain and the external devices. As a non-invasive interface, the scalp…

Quantitative Methods · Quantitative Biology 2018-08-15 Chuanqi Tan , Fuchun Sun , Wenchang Zhang , Shaobo Liu , Chunfang Liu

We describe the extension to multiple datasets of a coherent method for the search of continuous gravitational wave signals, based on the computation of 5-vectors. In particular, we show how to coherently combine different datasets…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Pia Astone , Alberto Colla , Sabrina D'Antonio , Sergio Frasca , Cristiano Palomba

Gravitational waves carry unique information about high-energy astrophysical events such as the inspiral and merger of neutron stars and black holes, core collapse in massive stars, and other sources. Large gravitational wave (GW) detectors…

Instrumentation and Methods for Astrophysics · Physics 2019-08-13 Peter S. Shawhan

Nearby core-collapse supernovae (CCSNe) are powerful multi-messenger sources for gravitational-wave, neutrino and electromagnetic telescopes as they emit gravitational waves in the ideal frequency band for ground based detectors. Once a…

High Energy Astrophysical Phenomena · Physics 2022-04-06 Jade Powell , Bernhard Müller

Graph Convolutional Networks (GCNs) achieve great success in non-Euclidean structure data processing recently. In existing studies, deeper layers are used in CCNs to extract deeper features of Euclidean structure data. However, for…

Machine Learning · Computer Science 2022-03-14 Junhua Ma , Jiajun Li , Xueming Li , Xu Li

We introduce a novel framework for graph signal processing (GSP) that models signals as graph distribution-valued signals (GDSs), which are probability distributions in the Wasserstein space. This approach overcomes key limitations of…

Machine Learning · Statistics 2026-03-25 Yanan Zhao , Feng Ji , Xingchao Jian , Wee Peng Tay

Slow waves (SWs) are spatio-temporal patterns of cortical activity that occur both during natural sleep and anesthesia and are preserved across species. Even though electrophysiological recordings have been largely used to characterize…

Precision timing of highly stable milli-second pulsars is a promising technique for the detection of very low frequency sources of gravitational waves. In any single pulsar, a stochastic gravitational wave signal appears as an additional…

General Relativity and Quantum Cosmology · Physics 2016-06-01 Neil J. Cornish , Laura M. Sampson

A new detection method for gravitational waves (GWs) with ultra-low frequencies ($f_{\rm GW} \lesssim 10^{-10}~{\rm Hz}$), which is much lower than the range of pulsar timing arrays (PTAs), was proposed in Yonemaru et al. (2016). This…

High Energy Astrophysical Phenomena · Physics 2019-05-29 Shinnosuke Hisano , Naoyuki Yonemaru , Hiroki Kumamoto , Keitaro Takahashi