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Recent advancements in transformer-based models have greatly improved time series analysis, providing robust solutions for tasks such as forecasting, anomaly detection, and classification. A crucial element of these models is positional…

Machine Learning · Computer Science 2026-05-07 Habib Irani , Vangelis Metsis

Transformer architectures have established strong baselines in time series forecasting, yet they typically rely on positional encodings that assume uniform, index-based temporal progression. However, real-world systems, from shifting…

Machine Learning · Computer Science 2026-02-10 Yubin Kim , Viresh Pati , Jevon Twitty , Vinh Pham , Shihao Yang , Jiecheng Lu

Continuous-time models are a natural choice for irregular and asynchronous data. A central design choice is how to embed discrete observations into continuous time. Interpolation- and imputation-based embeddings reconstruct a continuous…

Machine Learning · Computer Science 2026-05-29 Benjamin Walker , Alexandre Bloch , Lingyi Yang , Sam Morley , Terry Lyons

Irregular sampling occurs in many time series modeling applications where it presents a significant challenge to standard deep learning models. This work is motivated by the analysis of physiological time series data in electronic health…

Machine Learning · Computer Science 2021-06-08 Satya Narayan Shukla , Benjamin M. Marlin

We introduce a novel modeling approach for time series imputation and forecasting, tailored to address the challenges often encountered in real-world data, such as irregular samples, missing data, or unaligned measurements from multiple…

In forecasting multiple time series, accounting for the individual features of each sequence can be challenging. To address this, modern deep learning methods for time series analysis combine a shared (global) model with local layers,…

Machine Learning · Computer Science 2025-02-14 Luca Butera , Giovanni De Felice , Andrea Cini , Cesare Alippi

Transformers have recently gained popularity in time series forecasting due to their ability to capture long-term dependencies. However, many existing models focus only on capturing temporal dependencies while omitting intricate…

Machine Learning · Computer Science 2025-05-26 Donghwa Shin , Edwin Zhang

Transformers have demonstrated outstanding performance in many applications of deep learning. When applied to time series data, transformers require effective position encoding to capture the ordering of the time series data. The efficacy…

Machine Learning · Computer Science 2024-02-21 Navid Mohammadi Foumani , Chang Wei Tan , Geoffrey I. Webb , Mahsa Salehi

Irregularly-sampled time series occur in many domains including healthcare. They can be challenging to model because they do not naturally yield a fixed-dimensional representation as required by many standard machine learning models. In…

Machine Learning · Computer Science 2020-08-19 Steven Cheng-Xian Li , Benjamin M. Marlin

Probabilistic forecasting of multivariate time series is essential for various downstream tasks. Most existing approaches rely on the sequences being uniformly spaced and aligned across all variables. However, real-world multivariate time…

Machine Learning · Computer Science 2025-02-18 Yijun Li , Cheuk Hang Leung , Qi Wu

Downsampling-based methods for time series forecasting have attracted increasing attention due to their superiority in capturing sequence trends. However, this approaches mainly capture dependencies within subsequences but neglect…

Computational Engineering, Finance, and Science · Computer Science 2026-01-21 Zhangyao Song , Nanqing Jiang , Miaohong He , Xiaoyu Zhao , Tao Guo

Supervised learning with irregularly sampled time series have been a challenge to Machine Learning methods due to the obstacle of dealing with irregular time intervals. Some papers introduced recently recurrent neural network models that…

Machine Learning · Computer Science 2020-03-23 Rafael T. Sousa , Lucas A. Pereira , Anderson S. Soares

Rapid progress in machine learning and deep learning has enabled a wide range of applications in the electricity load forecasting of power systems, for instance, univariate and multivariate short-term load forecasting. Though the strong…

Machine Learning · Computer Science 2024-02-20 Yuqi Jiang , Yan Li , Yize Chen

Universal time series representation learning is challenging but valuable in real-world applications such as classification, anomaly detection, and forecasting. Recently, contrastive learning (CL) has been actively explored to tackle time…

Machine Learning · Computer Science 2025-02-06 Namwoo Kim , Hyungryul Baik , Yoonjin Yoon

Multivariate time series forecasting (MTSF) plays a vital role in a wide range of real-world applications, such as weather prediction and traffic flow forecasting. Although recent advances have significantly improved the modeling of…

Machine Learning · Computer Science 2025-10-03 Beiliang Wu , Peiyuan Liu , Yifan Hu , Luyan Zhang , Ao Hu , Zenglin Xu

When building linear or nonlinear models one is faced with the problem of selecting the best set of variable with which to predict the future dynamics. In nonlinear time series analysis the problem is to select the correct time delays in…

Chaotic Dynamics · Physics 2007-05-23 Michael Small

Within the field of complicated multivariate time series forecasting (TSF), popular techniques frequently rely on intricate deep learning architectures, ranging from transformer-based designs to recurrent neural networks. However, recent…

Machine Learning · Computer Science 2023-12-25 Aiyinsi Zuo , Haixi Zhang , Zirui Li , Ce Zheng

Recently, there has been a surge of Transformer-based solutions for the long-term time series forecasting (LTSF) task. Despite the growing performance over the past few years, we question the validity of this line of research in this work.…

Artificial Intelligence · Computer Science 2022-08-18 Ailing Zeng , Muxi Chen , Lei Zhang , Qiang Xu

Transformer-based methods have achieved impressive results in time series forecasting. However, existing Transformers still exhibit limitations in sequence modeling as they tend to overemphasize temporal dependencies. This incurs additional…

Machine Learning · Computer Science 2025-12-16 Tan Wang , Yun Wei Dong , Qi Wang

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
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