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Multivariate Time Series forecasting has been an increasingly popular topic in various applications and scenarios. Recently, contrastive learning and Transformer-based models have achieved good performance in many long-term series…

Machine Learning · Computer Science 2023-01-24 Zhe Li , Zhongwen Rao , Lujia Pan , Pengyun Wang , Zenglin Xu

Deep Neural Networks have spearheaded remarkable advancements in time series forecasting (TSF), one of the major tasks in time series modeling. Nonetheless, the non-stationarity of time series undermines the reliability of pre-trained…

Machine Learning · Computer Science 2025-01-10 HyunGi Kim , Siwon Kim , Jisoo Mok , Sungroh Yoon

The increasing significance of digital twin technology across engineering and industrial domains, such as aerospace, infrastructure, and automotive, is undeniable. However, the lack of detailed application-specific information poses…

Machine Learning · Computer Science 2023-06-27 AS Desai , Navaneeth N , S Adhikari , S Chakraborty

Time series foundational models (TSFM) have gained prominence in time series forecasting, promising state-of-the-art performance across various applications. However, their application in anomaly detection and prediction remains…

Machine Learning · Computer Science 2024-12-30 Chathurangi Shyalika , Harleen Kaur Bagga , Ahan Bhatt , Renjith Prasad , Alaa Al Ghazo , Amit Sheth

Surrogate models provide compact relations between user-defined input parameters and output quantities of interest, enabling the efficient evaluation of complex parametric systems in many-query settings. Such capabilities are essential in a…

Numerical Analysis · Mathematics 2026-03-16 Matteo Giacomini , Pedro Díez

We propose a twin support vector quantile regression (TSVQR) to capture the heterogeneous and asymmetric information in modern data. Using a quantile parameter, TSVQR effectively depicts the heterogeneous distribution information with…

Machine Learning · Statistics 2023-05-09 Yafen Ye , Zhihu Xu , Jinhua Zhang , Weijie Chen , Yuanhai Shao

Time Series Foundation Models (TSFMs) advance generalization and data efficiency in time series forecasting by unified large-scale pretraining. But TSFMs remain lacking when adapting to specific downstream forecasting tasks for two reasons.…

Signal Processing · Electrical Eng. & Systems 2026-05-04 Siyang Li , Yize Chen , Zijie Zhu , Yuxin Pan , Yan Guo , Ming Huang , Hui Xiong

As multimodal data proliferates across diverse real-world applications, leveraging heterogeneous information such as texts and timestamps for accurate time series forecasting (TSF) has become a critical challenge. While diffusion models…

Machine Learning · Computer Science 2025-12-09 Da Zhang , Bingyu Li , Zhuyuan Zhao , Junyu Gao , Feiping Nie , Xuelong Li

Time Series Forecasting (TSF) is key functionality in numerous fields, such as financial investment, weather services, and energy management. Although increasingly capable TSF methods occur, many of them require domain-specific data…

Machine Learning · Computer Science 2025-06-13 Zhe Li , Xiangfei Qiu , Peng Chen , Yihang Wang , Hanyin Cheng , Yang Shu , Jilin Hu , Chenjuan Guo , Aoying Zhou , Christian S. Jensen , Bin Yang

Time series forecasting (TSF) has been a challenging research area, and various models have been developed to address this task. However, almost all these models are trained with numerical time series data, which is not as effectively…

Machine Learning · Computer Science 2023-03-01 Luoxiao Yang , Xinqi Fan , Zijun Zhang

Currently, iTransformer is one of the most popular and effective models for multivariate time series (MTS) forecasting. Thanks to its inverted framework, iTransformer effectively captures multivariate correlation. However, the inverted…

Machine Learning · Computer Science 2025-07-17 Hongming Tan , Ting Chen , Ruochong Jin , Wai Kin Chan

We evaluate some methods designed for tensor- (or data-) based multivariate model construction (approximation and compression). To this aim, a collection of multivariate functions and an evaluation methodology are suggested. First, these…

Numerical Analysis · Mathematics 2026-02-10 Charles Poussot-Vassal , Ion Victor Gosea , Pierre Vuillemin , Athanasios C. Antoulas

Recently, deep learning has driven significant advancements in multivariate time series forecasting (MTSF) tasks. However, much of the current research in MTSF tends to evaluate models from a holistic perspective, which obscures the…

Machine Learning · Computer Science 2025-09-23 Shuang Liang , Chaochuan Hou , Xu Yao , Shiping Wang , Minqi Jiang , Songqiao Han , Hailiang Huang

There has been a recent surge of interest in time series modeling using the Transformer architecture. However, forecasting multivariate time series with Transformer presents a unique challenge as it requires modeling both temporal…

Machine Learning · Computer Science 2025-07-04 Yu-Hsiang Lan , Eric K. Oermann

High-speed flight vehicles, which travel much faster than the speed of sound, are crucial for national defense and space exploration. However, accurately predicting their behavior under numerous, varied flight conditions is a challenge and…

Machine Learning · Computer Science 2024-11-07 Tyler E. Korenyi-Both , Nathan J. Falkiewicz , Matthew C. Jones

We present a probabilistic deep learning methodology that enables the construction of predictive data-driven surrogates for stochastic systems. Leveraging recent advances in variational inference with implicit distributions, we put forth a…

Machine Learning · Statistics 2019-01-16 Yibo Yang , Paris Perdikaris

Unsupervised/self-supervised time series representation learning is a challenging problem because of its complex dynamics and sparse annotations. Existing works mainly adopt the framework of contrastive learning with the time-based…

Machine Learning · Computer Science 2022-05-31 Ling Yang , Shenda Hong

Autoregressive Recurrent Neural Networks are widely employed in time-series forecasting tasks, demonstrating effectiveness in univariate and certain multivariate scenarios. However, their inherent structure does not readily accommodate the…

Machine Learning · Computer Science 2024-04-30 Gareth Davies

In recent years, both online and offline deep learning models have been developed for time series forecasting. However, offline deep forecasting models fail to adapt effectively to changes in time-series data, while online deep forecasting…

Machine Learning · Computer Science 2024-02-06 Mohamed Mejri , Chandramouli Amarnath , Abhijit Chatterjee

This study investigates zero-shot forecasting capabilities of Time Series Foundation Models (TSFMs) for macroeconomic indicators. We apply TSFMs to forecasting economic indicators under univariate conditions, bypassing the need for train…

Machine Learning · Computer Science 2025-11-05 Jittarin Jetwiriyanon , Teo Susnjak , Surangika Ranathunga