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Multivariate time series present challenges to standard machine learning techniques, as they are often unlabeled, high dimensional, noisy, and contain missing data. To address this, we propose T-Rep, a self-supervised method to learn time…

Machine Learning · Computer Science 2024-05-10 Archibald Fraikin , Adrien Bennetot , Stéphanie Allassonnière

As the role played by statistical and computational sciences in climate and environmental modelling and prediction becomes more important, Machine Learning researchers are becoming more aware of the relevance of their work to help tackle…

Machine Learning · Statistics 2020-12-23 Federico Amato , Fabian Guignard , Sylvain Robert , Mikhail Kanevski

Clustering high-dimensional spatiotemporal data using an unsupervised approach is a challenging problem for many data-driven applications. Existing state-of-the-art methods for unsupervised clustering use different similarity and distance…

Machine Learning · Computer Science 2023-09-15 Omar Faruque , Francis Ndikum Nji , Mostafa Cham , Rohan Mandar Salvi , Xue Zheng , Jianwu Wang

Compactly expressing large-scale datasets through Multivariate Functional Approximations (MFA) can be critically important for analysis and visualization to drive scientific discovery. Tackling such problems requires scalable data…

Numerical Analysis · Mathematics 2022-10-14 Vijay S. Mahadevan , David Lenz , Iulian Grindeanu , Thomas Peterka

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…

Machine Learning · Computer Science 2025-10-02 Yanru Sun , Zongxia Xie , Emadeldeen Eldele , Dongyue Chen , Qinghua Hu , Min Wu

Discrete Token Modeling (DTM), which employs vector quantization techniques, has demonstrated remarkable success in modeling non-natural language modalities, particularly in time series generation. While our prior work SDformer established…

Machine Learning · Computer Science 2026-04-07 Shibo Feng , Zhicheng Chen , Xi Xiao , Zhong Zhang , Qing Li , Xingyu Gao , Peilin Zhao

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…

Machine Learning · Computer Science 2025-07-01 Hong Liu , Xiuxiu Qiu , Yiming Shi , Miao Xu , Zelin Zang , Zhen Lei

Dynamic Mode Decomposition (DMD) is a data-driven decomposition technique extracting spatio-temporal patterns of time-dependent phenomena. In this paper, we perform a comprehensive theoretical analysis of various variants of DMD. We provide…

Numerical Analysis · Mathematics 2022-02-15 Tim Krake , Daniel Weiskopf , Bernhard Eberhardt

Time-series classification is an important domain of machine learning and a plethora of methods have been developed for the task. In comparison to existing approaches, this study presents a novel method which decomposes a time-series…

Machine Learning · Computer Science 2015-03-12 Josif Grabocka , Lars Schmidt-Thieme

Separating multiple effects in time series is fundamental yet challenging for time-series forecasting (TSF). However, existing TSF models cannot effectively learn interpretable multi-effect decomposition by their smoothing-based temporal…

Machine Learning · Computer Science 2026-03-20 Runze Yang , Longbing Cao , Xiaoming Wu , Xin You , Kun Fang , Jianxun Li , Jie Yang

The problem of missing values in multivariable time series is a key challenge in many applications such as clinical data mining. Although many imputation methods show their effectiveness in many applications, few of them are designed to…

Machine Learning · Computer Science 2020-03-04 Ye Xue , Diego Klabjan , Yuan Luo

Time series forecasting is essential across diverse domains. While MLP-based methods have gained attention for achieving Transformer-comparable performance with fewer parameters and better robustness, they face critical limitations…

Machine Learning · Computer Science 2025-11-14 Hu Zhang , Zhien Dai , Zhaohui Tang , Yongfang Xie

Many vision-related tasks benefit from reasoning over multiple modalities to leverage complementary views of data in an attempt to learn robust embedding spaces. Most deep learning-based methods rely on a late fusion technique whereby…

Computer Vision and Pattern Recognition · Computer Science 2020-03-04 Austin Reiter , Menglin Jia , Pu Yang , Ser-Nam Lim

This paper introduces a data-driven time embedding method for modeling long-range seasonal dependencies in spatiotemporal forecasting tasks. The proposed approach employs Dynamic Mode Decomposition (DMD) to extract temporal modes directly…

Machine Learning · Computer Science 2025-08-05 Menglin Kong , Vincent Zhihao Zheng , Xudong Wang , Lijun Sun

Dynamic Mode Decomposition (DMD) is a data-driven technique to identify a low dimensional linear time invariant dynamics underlying high-dimensional data. For systems in which such underlying low-dimensional dynamics is time-varying, a…

Signal Processing · Electrical Eng. & Systems 2020-04-09 Mustaffa Alfatlawi , Vaibhav Srivastava

The vector field of a mixed-monotone system is decomposable via a decomposition function into increasing (cooperative) and decreasing (competitive) components, and this decomposition allows for, e.g., efficient computation of reachable sets…

Systems and Control · Electrical Eng. & Systems 2020-05-25 Matthew Abate , Maxence Dutreix , Samuel Coogan

Multi-view clustering has attracted much attention thanks to the capacity of multi-source information integration. Although numerous advanced methods have been proposed in past decades, most of them generally overlook the significance of…

Computer Vision and Pattern Recognition · Computer Science 2023-05-08 Rui Chen , Yongqiang Tang , Wensheng Zhang , Wenlong Feng

Producing probabilistic forecasts for large collections of similar and/or dependent time series is a practically relevant and challenging task. Classical time series models fail to capture complex patterns in the data, and multivariate…

Machine Learning · Statistics 2019-05-30 Yuyang Wang , Alex Smola , Danielle C. Maddix , Jan Gasthaus , Dean Foster , Tim Januschowski

Time series forecasting represents a significant and challenging task across various fields. Recently, methods based on mode decomposition have dominated the forecasting of complex time series because of the advantages of capturing local…

Methodology · Statistics 2023-11-30 Zhengtao Gui , Haoyuan Li , Sijie Xu , Yu Chen

Diffusion models are the go-to method for Text-to-Image generation, but their iterative denoising processes has high inference latency. Quantization reduces compute time by using lower bitwidths, but applies a fixed precision across all…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Basile Lewandowski , Simon Kurz , Aditya Shankar , Robert Birke , Jian-Jia Chen , Lydia Y. Chen
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