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To analyze multivariate time series, most previous methods assume regular subsampling of time series, where the interval between adjacent measurements and the number of samples remain unchanged. Practically, data collection systems could…

机器学习 · 计算机科学 2023-10-18 Yuxi Wei , Juntong Peng , Tong He , Chenxin Xu , Jian Zhang , Shirui Pan , Siheng Chen

Transformer-based methods have shown great potential in long-term time series forecasting. However, most of these methods adopt the standard point-wise self-attention mechanism, which not only becomes intractable for long-term forecasting…

机器学习 · 计算机科学 2022-02-24 Dazhao Du , Bing Su , Zhewei Wei

Multivariate time series (MTS) data often include a heterogeneous mix of non-Gaussian distributional features (asymmetry, multimodality, heavy tails) and data types (continuous and discrete variables). Traditional MTS methods based on…

统计方法学 · 统计学 2025-02-25 John Zito , Daniel R. Kowal

Time series prediction is crucial for understanding and forecasting complex dynamics in various domains, ranging from finance and economics to climate and healthcare. Based on Transformer architecture, one approach involves encoding…

机器学习 · 计算机科学 2024-05-24 Xin Cheng , Xiuying Chen , Shuqi Li , Di Luo , Xun Wang , Dongyan Zhao , Rui Yan

Multi-horizon forecasting problems often contain a complex mix of inputs -- including static (i.e. time-invariant) covariates, known future inputs, and other exogenous time series that are only observed historically -- without any prior…

机器学习 · 统计学 2020-09-29 Bryan Lim , Sercan O. Arik , Nicolas Loeff , Tomas Pfister

Conformal prediction offers a practical framework for distribution-free uncertainty quantification, providing finite-sample coverage guarantees under relatively mild assumptions on data exchangeability. However, these assumptions cease to…

We propose an efficient design of Transformer-based models for multivariate time series forecasting and self-supervised representation learning. It is based on two key components: (i) segmentation of time series into subseries-level patches…

机器学习 · 计算机科学 2023-03-07 Yuqi Nie , Nam H. Nguyen , Phanwadee Sinthong , Jayant Kalagnanam

We propose parametric copulas that capture serial dependence in stationary heteroskedastic time series. We develop our copula for first order Markov series, and extend it to higher orders and multivariate series. We derive the copula of a…

应用统计 · 统计学 2017-01-26 Rubén Loaiza-Maya , Michael S. Smith , Worapree Maneesoonthorn

Multivariate time series forecasting has been widely used in various practical scenarios. Recently, Transformer-based models have shown significant potential in forecasting tasks due to the capture of long-range dependencies. However,…

机器学习 · 计算机科学 2023-02-10 Zhe Li , Zhongwen Rao , Lujia Pan , Zenglin Xu

A reliable and efficient representation of multivariate time series is crucial in various downstream machine learning tasks. In multivariate time series forecasting, each variable depends on its historical values and there are…

机器学习 · 计算机科学 2022-08-22 William T. Ng , K. Siu , Albert C. Cheung , Michael K. Ng

Joint modelling of longitudinal and time-to-event data is usually described by a joint model which uses shared or correlated latent effects to capture associations between the two processes. Under this framework, the joint distribution of…

统计方法学 · 统计学 2022-03-07 Zili Zhang , Christiana Charalambous , Peter Foster

In this paper, we aim to improve multivariate anomaly detection (AD) by modeling the \textit{time-varying non-linear spatio-temporal correlations} found in multivariate time series data . In multivariate time series data, an anomaly may be…

机器学习 · 计算机科学 2025-09-19 Padmaksha Roy , Almuatazbellah Boker , Lamine Mili

This paper is a contribution towards interpretability of the deep learning models in different applications of time-series. We propose a temporal attention layer that is capable of selecting the relevant information to perform various…

计算机视觉与模式识别 · 计算机科学 2018-06-25 Phongtharin Vinayavekhin , Subhajit Chaudhury , Asim Munawar , Don Joven Agravante , Giovanni De Magistris , Daiki Kimura , Ryuki Tachibana

Graph-based next-step prediction models have recently been very successful in modeling complex high-dimensional physical systems on irregular meshes. However, due to their short temporal attention span, these models suffer from error…

机器学习 · 计算机科学 2022-05-27 Xu Han , Han Gao , Tobias Pfaff , Jian-Xun Wang , Li-Ping Liu

Transformer-based models have greatly pushed the boundaries of time series forecasting recently. Existing methods typically encode time series data into $\textit{patches}$ using one or a fixed set of patch lengths. This, however, could…

机器学习 · 计算机科学 2024-02-09 Linfeng Du , Ji Xin , Alex Labach , Saba Zuberi , Maksims Volkovs , Rahul G. Krishnan

Sequence modeling faces challenges in capturing long-range dependencies across diverse tasks. Recent linear and transformer-based forecasters have shown superior performance in time series forecasting. However, they are constrained by their…

机器学习 · 计算机科学 2024-11-25 Bong Gyun Kang , Dongjun Lee , HyunGi Kim , DoHyun Chung , Sungroh Yoon

Various Transformer-based models have been proposed for time series forecasting. These models leverage the self-attention mechanism to capture long-term temporal or variate dependencies in sequences. Existing methods can be divided into two…

机器学习 · 计算机科学 2025-06-04 Daichi Kimura , Tomonori Izumitani , Hisashi Kashima

The recent boom of linear forecasting models questions the ongoing passion for architectural modifications of Transformer-based forecasters. These forecasters leverage Transformers to model the global dependencies over temporal tokens of…

机器学习 · 计算机科学 2024-03-15 Yong Liu , Tengge Hu , Haoran Zhang , Haixu Wu , Shiyu Wang , Lintao Ma , Mingsheng Long

The Transformer is a highly successful deep learning model that has revolutionised the world of artificial neural networks, first in natural language processing and later in computer vision. This model is based on the attention mechanism…

机器学习 · 计算机科学 2023-05-09 Riccardo Ughi , Eugenio Lomurno , Matteo Matteucci

Transformers for time series forecasting mainly model time series from limited or fixed scales, making it challenging to capture different characteristics spanning various scales. We propose Pathformer, a multi-scale Transformer with…

机器学习 · 计算机科学 2024-09-17 Peng Chen , Yingying Zhang , Yunyao Cheng , Yang Shu , Yihang Wang , Qingsong Wen , Bin Yang , Chenjuan Guo