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The forecasting of irregular multivariate time series (IMTS) is crucial in key areas such as healthcare, biomechanics, climate science, and astronomy. However, achieving accurate and practical predictions is challenging due to two main…

Machine Learning · Computer Science 2025-11-18 Xvyuan Liu , Xiangfei Qiu , Xingjian Wu , Zhengyu Li , Chenjuan Guo , Jilin Hu , Bin Yang

For time-dependent partial differential equations, parallel-in-time integration using the "parallel full approximation scheme in space and time" (PFASST) is a promising way to accelerate existing space-parallel approaches beyond their…

Numerical Analysis · Mathematics 2018-06-07 Matthias Bolten , Dieter Moser , Robert Speck

Real-world time series often exhibit a non-stationary nature, degrading the performance of pre-trained forecasting models. Test-Time Adaptation (TTA) addresses this by adjusting models during inference, but existing methods typically update…

Machine Learning · Computer Science 2025-07-01 Heitor R. Medeiros , Hossein Sharifi-Noghabi , Gabriel L. Oliveira , Saghar Irandoust

Time series anomaly detection (TSAD) is becoming increasingly vital due to the rapid growth of time series data across various sectors. Anomalies in web service data, for example, can signal critical incidents such as system failures or…

Machine Learning · Computer Science 2024-11-06 Jiaxin Zhuang , Leon Yan , Zhenwei Zhang , Ruiqi Wang , Jiawei Zhang , Yuantao Gu

Time series modeling, a crucial area in science, often encounters challenges when training Machine Learning (ML) models like Recurrent Neural Networks (RNNs) using the conventional mini-batch training strategy that assumes independent and…

Machine Learning · Computer Science 2023-10-02 Shaoming Xu , Ankush Khandelwal , Arvind Renganathan , Vipin Kumar

Time-series forecasting has seen significant advancements with the introduction of token prediction mechanisms such as multi-head attention. However, these methods often struggle to achieve the same performance as in language modeling,…

Machine Learning · Computer Science 2024-12-03 Panayiotis Christou , Shichu Chen , Xupeng Chen , Parijat Dube

Time series is a special type of sequence data, a sequence of real-valued random variables collected at even intervals of time. The real-world multivariate time series comes with noises and contains complicated local and global temporal…

Machine Learning · Computer Science 2023-11-21 Site Mo , Haoxin Wang , Bixiong Li , Songhai Fan , Yuankai Wu , Xianggen Liu

Given a pair of multivariate time-series data of the same length and dimensions, an approach is proposed to select variables and time intervals where the two series are significantly different. In applications where one time series is an…

Methodology · Statistics 2024-12-11 Kensuke Mitsuzawa , Margherita Grossi , Stefano Bortoli , Motonobu Kanagawa

Multivariate time series (MTS) analysis prevails in real-world applications such as finance, climate science and healthcare. The various self-attention mechanisms, the backbone of the state-of-the-art Transformer-based models, efficiently…

Machine Learning · Computer Science 2023-11-21 Quang Minh Nguyen , Lam M. Nguyen , Subhro Das

We present a compartmentalized approach to finding the maximum a-posteriori (MAP) estimate of a latent time series that obeys a dynamic stochastic model and is observed through noisy measurements. We specifically consider modern signal…

Optimization and Control · Mathematics 2018-10-15 Gabriel Schamberg , Demba Ba , Todd P. Coleman

Accurate and efficient multivariate time series (MTS) analysis is increasingly critical for a wide range of intelligent applications. Within this realm, Transformers have emerged as the predominant architecture due to their strong ability…

Machine Learning · Computer Science 2026-05-19 Rui An , Haohao Qu , Wenqi Fan , Xuequn Shang , Qing Li

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…

Machine Learning · Computer Science 2025-02-27 Alireza Nourbakhsh , Hoda Mohammadzade

This paper introduces new methodology based on the field of Topological Data Analysis for detecting anomalies in multivariate time series, that aims to detect global changes in the dependency structure between channels. The proposed…

Statistics Theory · Mathematics 2024-06-11 Frédéric Chazal , Martin Royer , Clément Levrard

This paper presents an open-source framework for collecting time series S-parameter measurements across multiple antenna elements, dubbed MPADA: Multi-Port Antenna Data Acquisition. The core of MPADA relies on the standard SCPI protocol to…

Signal Processing · Electrical Eng. & Systems 2024-09-02 Yuyi Chang , Yingzhe Zhang , Asimina Kiourti , Emre Ertin

As time-series applications grow larger, there is increasing demand for symbolic representations that are compact, accurate, and scalable across many signals and computing resources. Current ABBA-based symbolic approximation methods produce…

Data Structures and Algorithms · Computer Science 2026-04-28 Xinye Chen

Time series data play a critical role in various fields, including finance, healthcare, marketing, and engineering. A wide range of techniques (from classical statistical models to neural network-based approaches such as Long Short-Term…

Machine Learning · Computer Science 2026-01-29 Sina Kazemdehbashi

We discuss how maximum entropy methods may be applied to the reconstruction of Markov processes underlying empirical time series and compare this approach to usual frequency sampling. It is shown that, at least in low dimension, there…

Risk Management · Quantitative Finance 2015-06-23 Gregor Chliamovitch , Alexandre Dupuis , Bastien Chopard , Anton Golub

To extend prevailing scaling limits when solving time-dependent partial differential equations, the parallel full approximation scheme in space and time (PFASST) has been shown to be a promising parallel-in-time integrator. Similar to a…

Mathematical Software · Computer Science 2019-12-03 Ruth Schöbel , Robert Speck

Causal inference from observational data is an ambitious but highly relevant task, with diverse applications ranging from natural to social sciences. Within the scope of nonparametric time series, causal inference defined through…

Methodology · Statistics 2016-12-22 Shu Li , Jan Ernest , Peter Bühlmann

This article introduces a nonparametric approach to spectral analysis of a high-dimensional multivariate nonstationary time series. The procedure is based on a novel frequency-domain factor model that provides a flexible yet parsimonious…

Methodology · Statistics 2019-10-29 Zeda Li , Ori Rosen , Fabio Ferrarelli , Robert T. Krafty
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