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Analyzing sequential data is crucial in many domains, particularly due to the abundance of data collected from the Internet of Things paradigm. Time series classification, the task of categorizing sequential data, has gained prominence,…

机器学习 · 计算机科学 2024-06-21 Venkata Ragavendra Vavilthota , Ranjith Ramanathan , Sathyanarayanan N. Aakur

Many studies of biomedical time series signals aim to measure the association between frequency-domain properties of time series and clinical and behavioral covariates. However, the time-varying dynamics of these associations are largely…

统计方法学 · 统计学 2016-10-05 Scott A. Bruce , Martica H. Hall , Daniel J. Buysse , Robert T. Krafty

Time series are ubiquitous in many applications that involve forecasting, classification and causal inference tasks, such as healthcare, finance, audio signal processing and climate sciences. Still, large, high-quality time series datasets…

机器学习 · 计算机科学 2025-11-25 Yu-Hsiang Wang , Olgica Milenkovic

Quadratic and Linear Discriminant Analysis (QDA/LDA) are the most often applied classification rules under normality. In QDA, a separate covariance matrix is estimated for each group. If there are more variables than observations in the…

统计方法学 · 统计学 2016-12-26 Stéphanie Aerts , Ines Wilms

Motivated by the need to statistically quantify differences between modern (complex) data-sets which commonly result as high-resolution measurements of stochastic processes varying over a continuum, we propose novel testing procedures to…

统计方法学 · 统计学 2022-06-15 Anne van Delft , Holger Dette

Stationarity is a cornerstone property that facilitates the analysis and processing of random signals in the time domain. Although time-varying signals are abundant in nature, in many practical scenarios the information of interest resides…

系统与控制 · 计算机科学 2017-10-11 Antonio G. Marques , Santiago Segarra , Geert Leus , Alejandro Ribeiro

Periodicity is a fundamental characteristic of time series data and has long played a central role in forecasting. Recent deep learning methods strengthen the exploitation of periodicity by treating patches as basic tokens, thereby…

机器学习 · 计算机科学 2025-10-07 Yiming Niu , Jinliang Deng , Yongxin Tong

In this paper I introduce quantile spectral densities that summarize the cyclical behavior of time series across their whole distribution by analyzing periodicities in quantile crossings. This approach can capture systematic changes in the…

统计理论 · 数学 2013-08-28 Andreas Hagemann

This technical report includes an assortment of technical details and extended discussions related to paper "Should we sample a time series more frequently? Decision support via multirate spectrum estimation (with discussion)", which…

统计方法学 · 统计学 2016-04-25 Guy P. Nason , Ben Powell , Duncan Elliott , Paul A. Smith

Multivariate time-series data in fields like healthcare and industry are informative but challenging due to high dimensionality and lack of labels. Recent self-supervised learning methods excel in learning rich representations without…

机器学习 · 计算机科学 2024-10-22 Ching Chang , Chiao-Tung Chan , Wei-Yao Wang , Wen-Chih Peng , Tien-Fu Chen

Periodic patterns are fundamental cues in multimedia signals and systems, including repetitive motion in video (e.g., gait cycles), rhythmic and pitch-related structure in audio, and recurring textures in image sequences. When such…

多媒体 · 计算机科学 2026-05-05 Yaxuan Wang , Tianxin Li , Enji Liang , Yue Fu , Yanran Wang

Time Series Alignment is a critical task in signal processing with numerous real-world applications. In practice, signals often exhibit temporal shifts and scaling, making classification on raw data prone to errors. This paper introduces a…

机器学习 · 计算机科学 2025-02-27 Alireza Nourbakhsh , Hoda Mohammadzade

Time-series classification has attracted considerable research attention due to the various domains where time-series data are observed, ranging from medicine to econometrics. Traditionally, the focus of time-series classification has been…

人工智能 · 计算机科学 2015-03-12 Josif Grabocka , Martin Wistuba , Lars Schmidt-Thieme

This paper studies the unsupervised change point detection problem in time series of networks using the Separable Temporal Exponential-family Random Graph Model (STERGM). Inherently, dynamic network patterns are complex due to dyadic and…

统计方法学 · 统计学 2025-09-01 Yik Lun Kei , Hangjian Li , Yanzhen Chen , Oscar Hernan Madrid Padilla

The performance of transformers for time-series forecasting has improved significantly. Recent architectures learn complex temporal patterns by segmenting a time-series into patches and using the patches as tokens. The patch size controls…

机器学习 · 计算机科学 2024-03-25 Yitian Zhang , Liheng Ma , Soumyasundar Pal , Yingxue Zhang , Mark Coates

This work delves into presenting a probabilistic method for analyzing linear process data with weakly dependent innovations, focusing on detecting change-points in the mean and estimating its spectral density. We develop a test for…

统计理论 · 数学 2024-10-01 Ramkrishna Jyoti Samanta

With the proliferation of mobile sensing techniques, huge amounts of time series data are generated and accumulated in various domains, fueling plenty of real-world applications. In this setting, time series anomaly detection is practically…

机器学习 · 计算机科学 2024-07-08 Ronghui Xu , Hao Miao , Senzhang Wang , Philip S. Yu , Jianxin Wang

In many real-world application, e.g., speech recognition or sleep stage classification, data are captured over the course of time, constituting a Time-Series. Time-Series often contain temporal dependencies that cause two otherwise…

机器学习 · 计算机科学 2017-01-10 John Cristian Borges Gamboa

Decomposing complex time series into trend, seasonality, and remainder components is an important task to facilitate time series anomaly detection and forecasting. Although numerous methods have been proposed, there are still many time…

机器学习 · 计算机科学 2018-12-06 Qingsong Wen , Jingkun Gao , Xiaomin Song , Liang Sun , Huan Xu , Shenghuo Zhu

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