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Time-varying graph signals are alternative representation of multivariate (or multichannel) signals in which a single time-series is associated with each of the nodes or vertex of a graph. Aided by the graph-theoretic tools, time-varying…

信号处理 · 电气工程与系统科学 2023-01-10 Naveed ur Rehman

Without imposing prior distributional knowledge underlying multivariate time series of interest, we propose a nonparametric change-point detection approach to estimate the number of change points and their locations along the temporal axis.…

统计方法学 · 统计学 2021-05-13 Xiaodong Wang , Fushing Hsieh

Although classical spectral analysis is a natural approach to characterise linear systems, it cannot describe a chaotic dynamics. Here, we propose the ordinal spectrum, a method based on a spectral transformation of symbolic sequences, to…

数据分析、统计与概率 · 物理学 2020-09-08 Mario Chavez , Johann H. Martinez

Highly accurate interval forecasting of electricity demand is fundamental to the success of reducing the risk when making power system planning and operational decisions by providing a range rather than point estimation. In this study, a…

机器学习 · 计算机科学 2014-06-17 Tao Xiong , Yukun Bao , Zhongyi Hu

With their ability to handle an increased amount of information, multivariate and multichannel signals can be used to solve problems normally not solvable with signals obtained from a single source. One such problem is the decomposition…

信息论 · 计算机科学 2019-04-02 Ljubisa Stankovic , Milos Brajovic , Milos Dakovic , Danilo Mandic

I describe the advantage of using singular value decomposition as a diagnostic tool for exploring the potential and limitations of seismic data. Using stellar models coupled with the expected errors in seismic and complementary data we can…

天体物理学 · 物理学 2014-11-18 Orlagh L. Creevey

We consider a dynamic method, based on synchronization and adaptive control, to estimate unknown parameters of a nonlinear dynamical system from a given scalar chaotic time series. We present an important extension of the method when time…

混沌动力学 · 物理学 2009-10-31 Anil Maybhate , R. E. Amritkar

Time-varying linear state-space models are powerful tools for obtaining mathematically interpretable representations of neural signals. For example, switching and decomposed models describe complex systems using latent variables that evolve…

This paper investigates enhancements to model-based methods for seasonal adjustment, with a particular focus on the state space modeling framework. It addresses limitations of the standard Decomp model; specifically, the tendency to produce…

统计方法学 · 统计学 2025-05-07 Genshiro Kitagawa

We develop a framework to track the structure of temporal networks with a signal processing approach. The method is based on the duality between networks and signals using a multidimensional scaling technique. This enables a study of the…

社会与信息网络 · 计算机科学 2015-05-13 Ronan Hamon , Pierre Borgnat , Patrick Flandrin , Céline Robardet

This work introduces a novel, simple, and flexible method to quantify irreversibility in generic high-dimensional time series based on the well-known mapping to a binary classification problem. Our approach utilizes gradient boosting for…

统计力学 · 物理学 2025-01-09 Michele Vodret , Cristiano Pacini , Christian Bongiorno

A state feedback controller design is proposed to guarantee stability of a nonuniformly sampled system for arbitrary selections of sampling periods within an interval, assuming the controller can select the sampling period. It is also shown…

动力系统 · 数学 2020-07-01 Ufuk Sevim , Leyla Goren-Sumer

Time series analysis finds wide applications in fields such as weather forecasting, anomaly detection, and behavior recognition. Previous methods attempted to model temporal variations directly using 1D time series. However, this has been…

机器学习 · 计算机科学 2024-11-08 Qiang Wu , Gechang Yao , Zhixi Feng , Shuyuan Yang

In this paper, we aim to improve multivariate anomaly detection (AD) by modeling the \textit{time-varying non-linear spatio-temporal correlations} found in multivariate time series data . In multivariate time series data, an anomaly may be…

机器学习 · 计算机科学 2025-09-19 Padmaksha Roy , Almuatazbellah Boker , Lamine Mili

While a substantial literature on structural break change point analysis exists for univariate time series, research on large panel data models has not been as extensive. In this paper, a novel method for estimating panel models with…

计量经济学 · 经济学 2021-09-24 Oualid Bada , Alois Kneip , Dominik Liebl , Tim Mensinger , James Gualtieri , Robin C. Sickles

Many studies record replicated time series epochs from different groups with the goal of using frequency domain properties to discriminate between the groups. In many applications, there exists variation in cyclical patterns from time…

统计方法学 · 统计学 2017-01-19 Robert T. Krafty

Multivariate time series classification is a task with increasing importance due to the proliferation of new problems in various fields (economy, health, energy, transport, crops, etc.) where a large number of information sources are…

机器学习 · 计算机科学 2020-09-09 Francisco J. Baldán , José M. Benítez

This paper proposes a physical-statistical modeling approach for spatio-temporal data arising from a class of stochastic convection-diffusion processes. Such processes are widely found in scientific and engineering applications where…

应用统计 · 统计学 2020-08-07 Xiao Liu , Kyongmin Yeo , Siyuan Lu

Time series forecasting is essential in a wide range of real world applications. Recently, frequency-domain methods have attracted increasing interest for their ability to capture global dependencies. However, when applied to non-stationary…

机器学习 · 统计学 2026-02-09 Zhongde An , Jinhong You , Jiyanglin Li , Yiming Tang , Wen Li , Heming Du , Shouguo Du

Combining forecast from different models has shown to perform better than single forecast in most time series. To improve the quality of forecast we can go for combining forecast. We study the effect of decomposing a series into multiple…

应用统计 · 统计学 2013-03-04 Manisha Gahirwal