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Time series analysis has proven to be a powerful method to characterize several phenomena in biology, neuroscience and economics, and to understand some of their underlying dynamical features. Despite a plethora of methods have been…

物理与社会 · 物理学 2023-03-01 Andrea Santoro , Federico Battiston , Giovanni Petri , Enrico Amico

Unsupervised fault detection in multivariate time series plays a vital role in ensuring the stable operation of complex systems. Traditional methods often assume that normal data follow a single Gaussian distribution and identify anomalies…

机器学习 · 计算机科学 2025-07-01 Hong Liu , Xiuxiu Qiu , Yiming Shi , Miao Xu , Zelin Zang , Zhen Lei

Structural health monitoring plays a critical role in ensuring structural safety by analyzing vibration responses from engineering systems. This paper proposes a Spectro-Temporal Alignment framework and a Hybrid Spectro-Temporal Fusion…

机器学习 · 计算机科学 2026-04-21 Jongyeop Kim , Jinki Kim , Doyun Lee

Many phenomena are described by bivariate signals or bidimensional vectors in applications ranging from radar to EEG, optics and oceanography. The time-frequency analysis of bivariate signals is usually carried out by analyzing two separate…

统计方法学 · 统计学 2016-09-09 Julien Flamant , Nicolas Le Bihan , Pierre Chainais

We provide a new approach to measure power spectra and reconstruct time series in active galactic nuclei (AGNs) based on the fact that the Fourier transform of AGN stochastic variations is a series of complex Gaussian random variables. The…

天体物理仪器与方法 · 物理学 2018-03-14 Yan-Rong Li , Jian-Min Wang

Identifying relationships among stochastic processes is a core objective in many fields, such as economics. While the standard toolkit for multivariate time series analysis has many advantages, it can be difficult to capture nonlinear…

统计方法学 · 统计学 2026-05-06 Michael Wieck-Sosa , Michel F. C. Haddad , Aaditya Ramdas

Multivariate time-series forecasting plays a crucial role in many real-world applications. It is a challenging problem as one needs to consider both intra-series temporal correlations and inter-series correlations simultaneously. Recently,…

机器学习 · 计算机科学 2021-03-16 Defu Cao , Yujing Wang , Juanyong Duan , Ce Zhang , Xia Zhu , Conguri Huang , Yunhai Tong , Bixiong Xu , Jing Bai , Jie Tong , Qi Zhang

The X-ray signal from active galactic nuclei and black hole X-ray binaries is highly variable on a range of timescales. This variability can be exploited to map the region of interest close to the black hole, which is far too small to…

高能天体物理现象 · 物理学 2023-05-24 Adam Ingram

A multispeckle technique for efficiently measuring correctly ensemble-averaged intensity autocorrelation functions of scattered light from non-ergodic and/or non-stationary systems is described. The method employs a CCD camera as a…

软凝聚态物质 · 物理学 2009-11-07 Virgile. Viasnoff , Francois Lequeux , D. J. Pine

We consider the problem of inferring the conditional independence graph (CIG) of a sparse, high-dimensional stationary multivariate Gaussian time series. A sparse-group lasso-based frequency-domain formulation of the problem based on…

信号处理 · 电气工程与系统科学 2024-06-06 Jitendra K. Tugnait

This paper is concerned with a direct sampling method for imaging the support of a frequency-dependent source term embedded in a homogeneous and isotropic medium. The source term is given by the Fourier transform of a time-dependent source…

数值分析 · 数学 2022-12-12 Hongxia Guo , Guanghui Hu , Mengjie Zhao

We introduce the concept of programmable feature engineering for time series modeling and propose a feature programming framework. This framework generates large amounts of predictive features for noisy multivariate time series while…

机器学习 · 计算机科学 2023-06-13 Alex Reneau , Jerry Yao-Chieh Hu , Chenwei Xu , Weijian Li , Ammar Gilani , Han Liu

A class of multivariate spectral representations for real-valued nonstationary random variables is introduced, which is characterised by a general complex Gaussian distribution. In this way, the temporal signal properties -- harmonicity,…

信号处理 · 电气工程与系统科学 2020-07-29 Bruno Scalzo , Ljubisa Stankovic , Danilo P. Mandic

Correlations in streams of multivariate time series data means that typically, only a small subset of the features are required for a given data mining task. In this paper, we propose a technique which we call Merit Score for Time-Series…

机器学习 · 计算机科学 2021-12-08 Bahavathy Kathirgamanathan , Padraig Cunningham

This paper addresses inference in large panel data models in the presence of both cross-sectional and temporal dependence of unknown form. We are interested in making inferences that do not rely on the choice of any smoothing parameter as…

计量经济学 · 经济学 2020-06-26 J. Hidalgo , M. Schafgans

The use of covariance kernels is ubiquitous in the field of spatial statistics. Kernels allow data to be mapped into high-dimensional feature spaces and can thus extend simple linear additive methods to nonlinear methods with higher order…

机器学习 · 统计学 2017-11-16 Jean-Francois Ton , Seth Flaxman , Dino Sejdinovic , Samir Bhatt

Previous studies indicate that nonlinear properties of Gaussian time series with long-range correlations, $u_i$, can be detected and quantified by studying the correlations in the magnitude series $|u_i|$, i.e., the ``volatility''. However,…

统计力学 · 物理学 2009-11-10 Tomer Kalisky , Yosef Ashkenazy , Shlomo Havlin

This paper deals with inference and prediction for multiple correlated time series, where one has also the choice of using a candidate pool of contemporaneous predictors for each target series. Starting with a structural model for the…

机器学习 · 统计学 2018-09-20 S. Rao Jammalamadaka , Jinwen Qiu , Ning Ning

Temporal networks observed continuously over time through timestamped relational events data are commonly encountered in application settings including online social media communications, financial transactions, and international relations.…

机器学习 · 统计学 2025-05-29 Lingfei Zhao , Hadeel Soliman , Kevin S. Xu , Subhadeep Paul

For stationary time series, it is common to use the plots of partial autocorrelation function (PACF) or PACF-based tests to explore the temporal dependence structure of such processes. To our best knowledge, such analogs for non-stationary…

统计理论 · 数学 2024-02-01 Xiucai Ding , Zhou Zhou