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Probabilistic forecasting of high dimensional multivariate time series is a notoriously challenging task, both in terms of computational burden and distribution modeling. Most previous work either makes simple distribution assumptions or…

Machine Learning · Computer Science 2021-01-27 Nam Nguyen , Brian Quanz

Time Series forecasting (univariate and multivariate) is a problem of high complexity due the different patterns that have to be detected in the input, ranging from high to low frequencies ones. In this paper we propose a new model for…

Machine Learning · Computer Science 2019-03-07 Matteo Maggiolo , Gerasimos Spanakis

The diversity of time series applications and scarcity of domain-specific data highlight the need for time-series models with strong few-shot learning capabilities. In this work, we propose a novel training scheme and a transformer-based…

Machine Learning · Computer Science 2025-02-25 Ege Onur Taga , M. Emrullah Ildiz , Samet Oymak

Spatio-Temporal Multivariate time series Forecast (STMF) uses the time series of $n$ spatially distributed variables in a period of recent past to forecast their values in a period of near future. It has important applications in…

Machine Learning · Computer Science 2025-10-29 Zibo Liu , Zhe Jiang , Zelin Xu , Tingsong Xiao , Yupu Zhang , Zhengkun Xiao , Haibo Wang , Shigang Chen

Financial time series forecasting presents significant challenges due to complex nonlinear relationships, temporal dependencies, variable interdependencies and limited data availability, particularly for tasks involving low-frequency data,…

General Finance · Quantitative Finance 2025-07-11 Ben A. Marconi

The extensive adoption of web technologies in the finance and investment sectors has led to an explosion of financial data, which contributes to the complexity of the forecasting task. Traditional machine learning models exhibit limitations…

Machine Learning · Computer Science 2026-01-21 Renjun Jia , Zian Liu , Peng Zhu , Dawei Cheng , Yuqi Liang

Time series forecasting (TSF) is crucial in fields like economic forecasting, weather prediction, traffic flow analysis, and public health surveillance. Real-world time series data often include noise, outliers, and missing values, making…

Machine Learning · Computer Science 2024-07-09 Quangao Liu , Ruiqi Li , Maowei Jiang , Wei Yang , Chen Liang , LongLong Pang , Zhuozhang Zou

This paper introduces a novel spatiotemporal feature representation model designed to address the limitations of traditional methods in multidimensional time series (MTS) analysis. The proposed approach converts MTS into one-dimensional…

Machine Learning · Computer Science 2024-10-10 Xu Yan , Yaoting Jiang , Wenyi Liu , Didi Yi , Jianjun Wei

Time series forecasting is a fundamental task with broad applications, yet conventional methods often treat data as discrete sequences, overlooking their origin as noisy samples of continuous processes. Crucially, discrete noisy…

Machine Learning · Computer Science 2025-07-17 Huibo Xu , Likang Wu , Xianquan Wang , Haoning Dang , Chun-Wun Cheng , Angelica I Aviles-Rivero , Qi Liu

In time series classification and regression, signals are typically mapped into some intermediate representation used for constructing models. Since the underlying task is often insensitive to time shifts, these representations are required…

Sound · Computer Science 2019-07-16 Joakim Andén , Vincent Lostanlen , Stéphane Mallat

Multivariate Time Series (MTS) forecasting involves modeling temporal dependencies within historical records. Transformers have demonstrated remarkable performance in MTS forecasting due to their capability to capture long-term…

Machine Learning · Computer Science 2024-07-17 Yifan Zhang , Rui Wu , Sergiu M. Dascalu , Frederick C. Harris

A time series represents a set of observations collected over time. Typically, these observations are captured with a uniform sampling frequency (e.g. daily). When data points are observed in uneven time intervals the time series is…

Machine Learning · Computer Science 2022-01-03 Pedro Costa , Vitor Cerqueira , João Vinagre

Time series anomaly detection is critical for system monitoring and risk identification, across various domains, such as finance and healthcare. However, for most reconstruction-based approaches, detecting anomalies remains a challenge due…

Machine Learning · Computer Science 2025-05-13 Wenxin Zhang , Ding Xu , Guangzhen Yao , Xiaojian Lin , Renxiang Guan , Chengze Du , Renda Han , Xi Xuan , Cuicui Luo

Deep learning utilizing transformers has recently achieved a lot of success in many vital areas such as natural language processing, computer vision, anomaly detection, and recommendation systems, among many others. Among several merits of…

Machine Learning · Computer Science 2023-12-05 Lena Sasal , Tanujit Chakraborty , Abdenour Hadid

Modern time series forecasting methods, such as Transformer and its variants, have shown strong ability in sequential data modeling. To achieve high performance, they usually rely on redundant or unexplainable structures to model complex…

Machine Learning · Computer Science 2023-11-30 Jingyi Hou , Zhen Dong , Jiayu Zhou , Zhijie Liu

Multivariate time series (MTS) prediction is ubiquitous in real-world fields, but MTS data often contains missing values. In recent years, there has been an increasing interest in using end-to-end models to handle MTS with missing values.…

Machine Learning · Computer Science 2023-05-11 Zhao-Yu Zhang , Shao-Qun Zhang , Yuan Jiang , Zhi-Hua Zhou

Time-series forecasting finds broad applications in real-world scenarios. Due to the dynamic nature of time series data, it is important for time-series forecasting models to handle potential distribution shifts over time. In this paper, we…

Machine Learning · Computer Science 2026-03-26 Zhiyuan Zhao , Haoxin Liu , B. Aditya Prakash

As global energy systems transit to clean energy, accurate renewable generation and renewable demand forecasting is imperative for effective grid management. Foundation Models (FMs) can help improve forecasting of renewable generation and…

Systems and Control · Electrical Eng. & Systems 2025-08-01 Md Meftahul Ferdaus , Tanmoy Dam , Md Rasel Sarkar , Moslem Uddin , Sreenatha G. Anavatti

Multivariate time series (MTS) forecasting is crucial for decision-making in domains such as weather, energy, and finance. It remains challenging because real-world sequences intertwine slow trends, multi-rate seasonalities, and irregular…

Machine Learning · Computer Science 2026-02-06 Shunya Nagashima , Shuntaro Suzuki , Shuitsu Koyama , Shinnosuke Hirano

We combine high-dimensional factor models with fractional integration methods and derive models where nonstationary, potentially cointegrated data of different persistence is modelled as a function of common fractionally integrated factors.…

Econometrics · Economics 2020-05-12 Tobias Hartl