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We propose a node clustering method for time-varying graphs based on the assumption that the cluster labels are changed smoothly over time. Clustering is one of the fundamental tasks in many science and engineering fields including signal…

Machine Learning · Computer Science 2023-05-12 Katsuki Fukumoto , Koki Yamada , Yuichi Tanaka , Hoi-To Wai

In complex systems, events occur at irregular intervals that inherently encode the underlying dynamics of the system. Analyzing the temporal clustering of these events reveals critical insights into the non-random patterns and the temporal…

Data Analysis, Statistics and Probability · Physics 2026-03-20 Ambedkar Sanket Sukdeo , K. Shri Vignesh , Sachin S. Gunthe , T Narayan Rao , Amit Kumar Patra , R. I. Sujith

Algorithms for the synchronisation of clocks across networks are both common and important within distributed systems. We here address not only the formal modelling of these algorithms, but also the formal verification of their behaviour.…

Logic in Computer Science · Computer Science 2018-09-28 Paul Gainer , Sven Linker , Clare Dixon , Ullrich Hustadt , Michael Fisher

The existence of large volumes of time series data in many applications has motivated data miners to investigate specialized methods for mining time series data. Clustering is a popular data mining method due to its powerful exploratory…

Machine Learning · Computer Science 2016-08-04 Fateme Fahiman , Jame C. Bezdek , Sarah M. Erfani , Christopher Leckie , Marimuthu Palaniswami

Sensor signals acquired in the industrial process contain rich information which can be analyzed to facilitate effective monitoring of the process, early detection of system anomalies, quick diagnosis of fault root causes, and intelligent…

Signal Processing · Electrical Eng. & Systems 2020-05-27 Feng Ye , Zhijie Xia , Min Dai , Zhisheng Zhang

In time series forecasting, effectively disentangling intricate temporal patterns is crucial. While recent works endeavor to combine decomposition techniques with deep learning, multiple frequencies may still be mixed in the decomposed…

Artificial Intelligence · Computer Science 2024-03-27 Xiaobing Yuan , Ling Chen

Many fluctuating systems consist of macroscopic structures in addition to noisy signals. Thus, for this class of fluctuating systems, the scaling behaviors are very complicated. Such phenomena are quite commonly observed in Nature, ranging…

Statistical Mechanics · Physics 2007-05-23 Ning-Ning Pang , Hisen-Ching Kao , Wen-Jer Tzeng

Detrended Fluctuation Analysis (DFA) is widely used to assess the presence of long-range temporal correlations in time series. Signals with long-range temporal correlations are typically defined as having a power law decay in their…

Quantitative Methods · Quantitative Biology 2013-06-24 Maria Botcharova , Simon F Farmer , Luc Berthouze

In this paper, a new algorithm for extracting features from sequences of multidimensional observations is presented. The independently developed Dynamic Mode Decomposition and Matrix Pencil methods provide a least-squares model-based…

Numerical Analysis · Mathematics 2018-04-20 Leonid Pogorelyuk , Clarence W. Rowley

Modern neural recording techniques allow neuroscientists to obtain spiking activity of multiple neurons from different brain regions over long time periods, which requires new statistical methods to be developed for understanding structure…

Applications · Statistics 2023-12-29 Ganchao Wei

Signal decomposition (SD) approaches aim to decompose non-stationary signals into their constituent amplitude- and frequency-modulated components. This represents an important preprocessing step in many practical signal processing…

Signal Processing · Electrical Eng. & Systems 2022-09-05 Thomas Eriksen , Naveed ur Rehman

Singular value decomposition (SVD) is widely used in wireless systems, including multiple-input multiple-output (MIMO) processing and dimension reduction in distributed MIMO (D-MIMO). However, the iterative nature of decomposition methods…

Signal Processing · Electrical Eng. & Systems 2025-09-24 Sijia Cheng , Liang Liu , Ove Edfors , Juan Vidal Alegria

Representing the reservoir as a network of discrete compartments with neighbor and non-neighbor connections is a fast, yet accurate method for analyzing oil and gas reservoirs. Automatic and rapid detection of coarse-scale compartments with…

Machine Learning · Computer Science 2019-11-21 Soheil Esmaeilzadeh , Amir Salehi , Gill Hetz , Feyisayo Olalotiti-lawal , Hamed Darabi , David Castineira

Data discretization, also known as binning, is a frequently used technique in computer science, statistics, and their applications to biological data analysis. We present a new method for the discretization of real-valued data into a finite…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Elena S. Dimitrova , John J. McGee , Reinhard C. Laubenbacher

In this paper, we have evaluated various methods of time-frequency-selective fading channels estimation in OFDM system and some of them improved under time varying conditions. So, these different techniques will be studied through different…

Other Computer Science · Computer Science 2012-05-16 Zaier Aida , Ridha Bouallegue

Preliminary results are presented which suggest that scaling and singularity characteristics of solar wind and ground based magnetic fluctuations appear to be a significant component in the solar wind - magnetosphere interaction processes.…

Space Physics · Physics 2020-01-29 Z. Vörös , D. Jankovičová , P. Kovács

An analysis of the stylized facts in financial time series is carried out. We find that, instead of the heavy tails in asset return distributions, the slow decay behaviour in autocorrelation functions of absolute returns is actually…

Statistical Finance · Quantitative Finance 2015-03-13 Jie-Jun Tseng , Sai-Ping Li

While symmetry has been exploited to analyze synchronization patterns in complex networks, the identification of symmetries in large-size network remains as a challenge. We present in the present work a new method, namely the method of…

Adaptation and Self-Organizing Systems · Physics 2023-08-04 Huwei Fan , Xingang Wang

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

Clustering temporal and dynamically changing multivariate time series from real-world fields, called temporal clustering for short, has been a major challenge due to inherent complexities. Although several deep temporal clustering…

Machine Learning · Computer Science 2026-01-13 Zhi Wang , Yanni Li , Pingping Zheng , Yiyuan Jiao
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