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This paper develops change-point methods for the spectrum of a locally stationary time series. We focus on series with a bounded spectral density that change smoothly under the null hypothesis but exhibits change-points or becomes less…

统计理论 · 数学 2024-08-08 Alessandro Casini , Pierre Perron

Multimodal time series forecasting is crucial in real-world applications, where decisions depend on both numerical data and contextual signals. The core challenge is to effectively combine temporal numerical patterns with the context…

机器学习 · 计算机科学 2026-02-04 Huu Hiep Nguyen , Minh Hoang Nguyen , Dung Nguyen , Hung Le

Anomaly detection on multivariate time-series is of great importance in both data mining research and industrial applications. Recent approaches have achieved significant progress in this topic, but there is remaining limitations. One major…

机器学习 · 计算机科学 2020-09-07 Hang Zhao , Yujing Wang , Juanyong Duan , Congrui Huang , Defu Cao , Yunhai Tong , Bixiong Xu , Jing Bai , Jie Tong , Qi Zhang

Anomalies in univariate time series often refer to abnormal values and deviations from the temporal patterns from majority of historical observations. In multivariate time series, anomalies also refer to abnormal changes in the inter-series…

机器学习 · 计算机科学 2023-02-07 Katrina Chen , Mingbin Feng , Tony S. Wirjanto

In this paper, we propose a novel framework for non-stationary time-series analysis that replaces conventional correlation-based statistics with direct estimation of statistical dependence in the normalized joint density of input and target…

机器学习 · 计算机科学 2026-04-09 Yao Sun , Bo Hu , Jose Principe

Irregularly sampled time series are increasingly prevalent, particularly in medical domains. While various specialized methods have been developed to handle these irregularities, effectively modeling their complex dynamics and pronounced…

机器学习 · 计算机科学 2023-11-01 Zekun Li , Shiyang Li , Xifeng Yan

Time series forecasting, which aims to predict future values based on historical data, has garnered significant attention due to its broad range of applications. However, real-world time series often exhibit complex non-uniform distribution…

机器学习 · 计算机科学 2025-10-02 Yanru Sun , Zongxia Xie , Emadeldeen Eldele , Dongyue Chen , Qinghua Hu , Min Wu

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

The continuous advances in data collection and storage techniques allow us to observe and record real-life processes in great detail. Examples include financial transaction data, fMRI images, satellite photos, earths pollution distribution…

统计方法学 · 统计学 2015-02-26 Łukasz Kidziński

Deep learning (DL) approaches are being increasingly used for time-series forecasting, with many efforts devoted to designing complex DL models. Recent studies have shown that the DL success is often attributed to effective data…

人机交互 · 计算机科学 2023-07-28 Jianing Hao , Qing Shi , Yilin Ye , Wei Zeng

Wavelets provide the flexibility to analyse stochastic processes at different scales. Here, we apply them to multivariate point processes as a means of detecting and analysing unknown non-stationarity, both within and across data streams.…

统计方法学 · 统计学 2020-11-04 Edward A. K. Cohen , Alexander J. Gibberd

Spatial variables can be observed in many different forms, such as regularly sampled random fields (lattice data), point processes, and randomly sampled spatial processes. Joint analysis of such collections of observations is clearly…

统计方法学 · 统计学 2026-05-20 Jake P. Grainger , Tuomas A. Rajala , David J. Murrell , Sofia C. Olhede

This paper introduces the novel class of modulated cyclostationary processes, a class of non-stationary processes exhibiting frequency coupling, and proposes a method of their estimation from repeated trials. Cyclostationary processes also…

统计方法学 · 统计学 2012-10-25 Sofia C. Olhede , Hernando Ombao

Time series anomaly detection holds notable importance for risk identification and fault detection across diverse application domains. Unsupervised learning methods have become popular because they have no requirement for labels. However,…

机器学习 · 计算机科学 2025-05-05 Wenxin Zhang , Xiaojian Lin , Wenjun Yu , Guangzhen Yao , jingxiang Zhong , Yu Li , Renda Han , Songcheng Xu , Hao Shi , Cuicui Luo

Singular spectrum analysis (SSA), starting from the second half of the XX century, has been a rapidly developing method of time series analysis. Since it can be called principal component analysis for time series, SSA will definitely be a…

统计方法学 · 统计学 2021-01-26 Nina Golyandina

Time series data is prevalent in a wide variety of real-world applications and it calls for trustworthy and explainable models for people to understand and fully trust decisions made by AI solutions. We consider the problem of building…

机器学习 · 计算机科学 2020-11-25 Tsung-Yu Hsieh , Suhang Wang , Yiwei Sun , Vasant Honavar

Irregular multivariate time series with missing values present significant challenges for predictive modeling in domains such as healthcare. While deep learning approaches often focus on temporal interpolation or complex architectures to…

机器学习 · 计算机科学 2026-03-16 Dingyi Nie , Yixing Wu , C. -C. Jay Kuo

Graph-based techniques emerged as a choice to deal with the dimensionality issues in modeling multivariate time series. However, there is yet no complete understanding of how the underlying structure could be exploited to ease this task.…

信号处理 · 电气工程与系统科学 2019-10-02 Elvin Isufi , Andreas Loukas , Nathanael Perraudin , Geert Leus

Multivariate time series forecasting is crucial across various industries, where accurate extraction of complex periodic and trend components can significantly enhance prediction performance. However, existing models often struggle to…

机器学习 · 计算机科学 2025-05-08 Yulong Wang , Yushuo Liu , Xiaoyi Duan , Kai Wang

Recent advancements have progressively incorporated frequency-based techniques into deep learning models, leading to notable improvements in accuracy and efficiency for time series analysis tasks. However, the Mid-Frequency Spectrum Gap in…

机器学习 · 计算机科学 2025-03-04 Guoqi Yu , Yaoming Li , Juncheng Wang , Xiaoyu Guo , Angelica I. Aviles-Rivero , Tong Yang , Shujun Wang