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We address a three-tier numerical framework based on manifold learning for the forecasting of high-dimensional time series. At the first step, we embed the time series into a reduced low-dimensional space using a nonlinear manifold learning…

Numerical Analysis · Mathematics 2023-03-16 Panagiotis Papaioannou , Ronen Talmon , Ioannis Kevrekidis , Constantinos Siettos

Forecasting complex time series is an important yet challenging problem that involves various industrial applications. Recently, masked time-series modeling has been proposed to effectively model temporal dependencies for forecasting by…

Machine Learning · Computer Science 2025-07-02 Hyunwoo Seo , Chiehyeon Lim

Long-term time series forecasting (LTSF) provides longer insights into future trends and patterns. Over the past few years, deep learning models especially Transformers have achieved advanced performance in LTSF tasks. However, LTSF faces…

Machine Learning · Computer Science 2024-06-28 Aobo Liang , Xingguo Jiang , Yan Sun , Xiaohou Shi , Ke Li

Time series, typically represented as numerical sequences, can also be transformed into images and texts, offering multi-modal views (MMVs) of the same underlying signal. These MMVs can reveal complementary patterns and enable the use of…

Machine Learning · Computer Science 2025-11-03 ChengAo Shen , Wenchao Yu , Ziming Zhao , Dongjin Song , Wei Cheng , Haifeng Chen , Jingchao Ni

We introduce Masked Trajectory Models (MTM) as a generic abstraction for sequential decision making. MTM takes a trajectory, such as a state-action sequence, and aims to reconstruct the trajectory conditioned on random subsets of the same…

Machine Learning · Computer Science 2023-05-05 Philipp Wu , Arjun Majumdar , Kevin Stone , Yixin Lin , Igor Mordatch , Pieter Abbeel , Aravind Rajeswaran

In this work we propose for the first time a transformer-based framework for unsupervised representation learning of multivariate time series. Pre-trained models can be potentially used for downstream tasks such as regression and…

Machine Learning · Computer Science 2020-12-10 George Zerveas , Srideepika Jayaraman , Dhaval Patel , Anuradha Bhamidipaty , Carsten Eickhoff

We propose a framework for general probabilistic multi-step time series regression. Specifically, we exploit the expressiveness and temporal nature of Sequence-to-Sequence Neural Networks (e.g. recurrent and convolutional structures), the…

Machine Learning · Statistics 2018-06-29 Ruofeng Wen , Kari Torkkola , Balakrishnan Narayanaswamy , Dhruv Madeka

Multivariate Time Series Forecasting (MTSF) involves predicting future values of multiple interrelated time series. Recently, deep learning-based MTSF models have gained significant attention for their promising ability to mine semantics…

Machine Learning · Computer Science 2025-06-17 Chengqing Yu , Fei Wang , Chuanguang Yang , Zezhi Shao , Tao Sun , Tangwen Qian , Wei Wei , Zhulin An , Yongjun Xu

Time series data is being used everywhere, from sales records to patients' health evolution metrics. The ability to deal with this data has become a necessity, and time series analysis and forecasting are used for the same. Every Machine…

Machine Learning · Computer Science 2022-11-29 Rameshwar Garg , Shriya Barpanda , Girish Rao Salanke N S , Ramya S

Generating forecasts for time series with multiple seasonal cycles is an important use-case for many industries nowadays. Accounting for the multi-seasonal patterns becomes necessary to generate more accurate and meaningful forecasts in…

Applications · Statistics 2020-04-28 Kasun Bandara , Christoph Bergmeir , Hansika Hewamalage

A key aspect of temporal domains is the ability to make predictions multiple time steps into the future, a process known as multi-step forecasting (MSF). At the core of this process is selecting a forecasting strategy, however, with no…

Machine Learning · Computer Science 2024-12-31 Riku Green , Grant Stevens , Zahraa Abdallah , Telmo M. Silva Filho

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

The fast fashion industry suffers from significant environmental impacts due to overproduction and unsold inventory. Accurately predicting sales volumes for unreleased products could significantly improve efficiency and resource…

Machine Learning · Computer Science 2024-12-11 Andrea Avogaro , Luigi Capogrosso , Franco Fummi , Marco Cristani

Diffusion models achieve remarkable success in processing images and text, and have been extended to special domains such as time series forecasting (TSF). Existing diffusion-based approaches for TSF primarily focus on modeling…

Computation and Language · Computer Science 2025-04-29 Chen Su , Yuanhe Tian , Yan Song

Benefiting from high capacity for capturing complex temporal patterns, deep learning (DL) has significantly advanced time series forecasting (TSF). However, deep models tend to suffer from severe overfitting due to the inherent…

Machine Learning · Computer Science 2025-10-30 Yisong Fu , Zezhi Shao , Chengqing Yu , Yujie Li , Zhulin An , Qi Wang , Yongjun Xu , Fei Wang

Accurate traffic prediction plays a vital role in intelligent transportation systems by enabling efficient routing, congestion mitigation, and proactive traffic control. However, forecasting is challenging due to the combined effects of…

Machine Learning · Computer Science 2025-07-08 Mohamed Hamad , Mohamed Mabrok , Nizar Zorba

Motion forecasting plays a pivotal role in autonomous driving systems, enabling vehicles to execute collision warnings and rational local-path planning based on predictions of the surrounding vehicles. However, prevalent methods often…

Computer Vision and Pattern Recognition · Computer Science 2024-07-09 Zhanwen Liu , Chao Li , Nan Yang , Yang Wang , Jiaqi Ma , Guangliang Cheng , Xiangmo Zhao

Time series forecasting (TSF) is an essential branch of machine learning with various applications. Most methods for TSF focus on constructing different networks to extract better information and improve performance. However, practical…

Machine Learning · Computer Science 2025-02-19 Yanru Sun , Zongxia Xie , Haoyu Xing , Hualong Yu , Qinghua Hu

Recent studies have shown that by introducing prior knowledge, multi-scale analysis of complex and non-stationary time series in real environments can achieve good results in the field of long-term forecasting. However, affected by…

Machine Learning · Computer Science 2025-05-26 Bin Wang , Heming Yang , Jinfang Sheng

Sub-seasonal climate forecasting (SSF) is the prediction of key climate variables such as temperature and precipitation on the 2-week to 2-month time horizon. Skillful SSF would have substantial societal value in areas such as agricultural…

Atmospheric and Oceanic Physics · Physics 2021-10-12 Sijie He , Xinyan Li , Laurie Trenary , Benjamin A Cash , Timothy DelSole , Arindam Banerjee