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Heterogeneous data are commonly adopted as the inputs for some models that predict the future trends of some observations. Existing predictive models typically ignore the inconsistencies and imperfections in heterogeneous data while also…

机器学习 · 计算机科学 2022-05-10 Zhengjing Ma , Gang Mei , Salvatore Cuomo , Francesco Piccialli

Measuring time lags between time-series or lighcurves at different wavelengths from a variable or transient source in astronomy is an essential probe of physical mechanisms causing multiwavelength variability. Time-lags are typically…

天体物理仪器与方法 · 物理学 2021-06-17 Nachiketa Chakraborty , Peter Jan van Leeuwen

The literature manifests that schizophrenia is associated with alterations in brain network connectivity. We investigate whether large-scale Extended Granger Causality (lsXGC) can capture such alterations using resting-state fMRI data. Our…

神经元与认知 · 定量生物学 2021-01-27 Axel Wismüller , M. Ali Vosoughi

Modelling time-varying and frequency-specific relationships between two brain signals is becoming an essential methodological tool to answer heoretical questions in experimental neuroscience. In this article, we propose to estimate a…

统计方法学 · 统计学 2018-04-16 Sezen Cekic , Didier Grandjean , Olivier Renaud

Besides the center of inertia (COI) frequency dynamics addressed in Part I, the spatial frequency variation in power systems with grid-following (GFL) converters is also crucial. Part II revisits the effect of GFLs on frequency spatial…

系统与控制 · 电气工程与系统科学 2025-07-22 Jiahao Liu , Cheng Wang , Tianshu Bi

Studying the flow of information between different areas of the brain can be performed by using the so-called Partial Directed Coherence. This measure is usually evaluated by first identifying a multivariate autoregressive model, and then…

神经元与认知 · 定量生物学 2013-11-26 Pierre-Olivier Amblard

Granger causality is well established within the neurosciences for inference of directed functional connectivity from neurophysiological data. These data usually consist of time series which subsample a continuous-time biophysiological…

应用统计 · 统计学 2016-09-08 Lionel Barnett , Anil K. Seth

We present a new framework for learning Granger causality networks for multivariate categorical time series, based on the mixture transition distribution (MTD) model. Traditionally, MTD is plagued by a nonconvex objective,…

统计方法学 · 统计学 2017-06-12 Alex Tank , Emily B. Fox , Ali Shojaie

The characterization of non-stationary signals requires joint time and frequency information. However, time (t) and frequency (omega) being non-commuting variables there cannot be a joint probability density in the (t,omega) plane and the…

数据分析、统计与概率 · 物理学 2007-05-23 V. I. Man'ko , R. Vilela Mendes

Understanding the dynamics of functional brain connectivity patterns using noninvasive neuroimaging techniques is an important focus in human neuroscience. Vector autoregressive (VAR) processes and Granger causality analysis (GCA) have been…

应用统计 · 统计学 2022-09-16 Jingjing Fan , Kevin Sitek , Bharath Chandrasekaran , Abhra Sarkar

Detrend fluctuation analysis (DFA) has become a choice method for effective analysis of a broad variety of nonstationary signals. We show in the present article that, provided the nonstationary fluctuations occur at a large enough time…

Long-term time series forecasting is a long-standing challenge in various applications. A central issue in time series forecasting is that methods should expressively capture long-term dependency. Furthermore, time series forecasting…

机器学习 · 计算机科学 2024-11-06 Xingyu Zhang , Siyu Zhao , Zeen Song , Huijie Guo , Jianqi Zhang , Changwen Zheng , Wenwen Qiang

In this paper, we establish a connection between the recently developed data-driven time-frequency analysis \cite{HS11,HS13-1} and the classical second order differential equations. The main idea of the data-driven time-frequency analysis…

信息论 · 计算机科学 2013-12-03 T. Y. Hou , Z. Shi , P. Tavallali

We address the problem of predicting a target ordinal variable based on observable features consisting of functional profiles. This problem is crucial, especially in decision-making driven by sensor systems, when the goal is to assess an…

Advanced sensors and IoT devices have improved the monitoring and control of complex industrial enterprises. They have also created an interdependent fabric of geographically distributed process operations (clients) across these…

机器学习 · 计算机科学 2025-05-30 Ayush Mohanty , Nazal Mohamed , Paritosh Ramanan , Nagi Gebraeel

Granger causality is a widely-used criterion for analyzing interactions in large-scale networks. As most physical interactions are inherently nonlinear, we consider the problem of inferring the existence of pairwise Granger causality…

机器学习 · 计算机科学 2020-01-15 Saurabh Khanna , Vincent Y. F. Tan

With the increasing volume of high-frequency data in the information age, both challenges and opportunities arise in the prediction of stock volatility. On one hand, the outcome of prediction using tradition method combining stock technical…

统计金融 · 定量金融 2023-09-29 Wenting Liu , Zhaozhong Gui , Guilin Jiang , Lihua Tang , Lichun Zhou , Wan Leng , Xulong Zhang , Yujiang Liu

Time-dependent fixed-time control is a cost-effective control method that is widely employed at signalized intersections in numerous countries. Existing optimization models rely on traditional delay models with specific assumptions…

最优化与控制 · 数学 2024-08-01 Chaopeng Tan , Yumin Cao , Xuegang , Ban , Keshuang Tang

Time series motifs are used for discovering higher-order structures of time series data. Based on time series motifs, the motif embedding correlation field (MECF) is proposed to characterize higher-order temporal structures of dynamical…

机器学习 · 计算机科学 2023-06-26 Long Huo , Xin Chen

A powerful study design in the fields of genomics and metabolomics is the 'replicated time course experiment' where individual time series are observed for a sample of biological units, such as human patients, termed replicates. Standard…

统计方法学 · 统计学 2011-12-02 Maurice Berk , Giovanni Montana