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Multimodal time series forecasting is crucial in real-world applications, where decisions depend on both numerical data and contextual signals. The core challenge is to effectively combine temporal numerical patterns with the context…

Machine Learning · Computer Science 2026-02-04 Huu Hiep Nguyen , Minh Hoang Nguyen , Dung Nguyen , Hung Le

Many real-world ubiquitous applications, such as parking recommendations and air pollution monitoring, benefit significantly from accurate long-term spatio-temporal forecasting (LSTF). LSTF makes use of long-term dependency between spatial…

Machine Learning · Computer Science 2022-09-02 Wei Shao , Zhiling Jin , Shuo Wang , Yufan Kang , Xiao Xiao , Hamid Menouar , Zhaofeng Zhang , Junshan Zhang , Flora Salim

Large-scale and multidimensional spatiotemporal data sets are becoming ubiquitous in many real-world applications such as monitoring urban traffic and air quality. Making predictions on these time series has become a critical challenge due…

Machine Learning · Statistics 2021-04-21 Xinyu Chen , Lijun Sun

Multivariate time series forecasting (MTSF) is crucial for decision-making to precisely forecast the future values/trends, based on the complex relationships identified from historical observations of multiple sequences. Recently,…

Machine Learning · Computer Science 2024-05-21 Chengqing Yu , Fei Wang , Zezhi Shao , Tangwen Qian , Zhao Zhang , Wei Wei , Yongjun Xu

Recent innovations in diffusion probabilistic models have paved the way for significant progress in image, text and audio generation, leading to their applications in generative time series forecasting. However, leveraging such abilities to…

Machine Learning · Computer Science 2025-11-07 Yuansan Liu , Sudanthi Wijewickrema , Dongting Hu , Christofer Bester , Stephen O'Leary , James Bailey

Process Model Forecasting (PMF) aims to predict how the control-flow structure of a process evolves over time by modeling the temporal dynamics of directly-follows (DF) relations, complementing predictive process monitoring that focuses on…

Machine Learning · Computer Science 2025-12-09 Yongbo Yu , Jari Peeperkorn , Johannes De Smedt , Jochen De Weerdt

We address the problem of predicting spatio-temporal processes with temporal patterns that vary across spatial regions, when data is obtained as a stream. That is, when the training dataset is augmented sequentially. Specifically, we…

Machine Learning · Statistics 2018-06-25 Muhammad Osama , Dave Zachariah , Thomas B. Schön

Spatio-temporal (ST) forecasting is critical for dynamic systems, yet existing methods predominantly rely on modeling a limited set of observed target variables. In this paper, we present the first systematic exploration of exogenous…

Machine Learning · Computer Science 2026-03-03 Wei Chen , Yuqian Wu , Yuanshao Zhu , Xixuan Hao , Shiyu Wang , Xiaofang Zhou , Yuxuan Liang

Very large time series are increasingly available from an ever wider range of IoT-enabled sensors, from which significant insights can be obtained through mining temporal patterns from them. A useful type of patterns found in many…

Databases · Computer Science 2023-01-10 Van Long Ho , Nguyen Ho , Torben Bach Pedersen

Spatio-temporal forecasting is a critical component of various smart city applications, such as transportation optimization, energy management, and socio-economic analysis. Recently, several automated spatio-temporal forecasting methods…

Machine Learning · Computer Science 2025-01-09 Tengfei Lyu , Weijia Zhang , Jinliang Deng , Hao Liu

There are many data sources available that report related variables of interest that are also referenced over geographic regions and time; however, there are relatively few general statistical methods that one can readily use that…

Methodology · Statistics 2014-09-05 Jonathan R. Bradley , Scott H. Holan , Christopher K. Wikle

In recent years, Transformers have become the de-facto architecture for long-term sequence forecasting (LTSF), but faces challenges such as quadratic complexity and permutation invariant bias. A recent model, Mamba, based on selective state…

Machine Learning · Computer Science 2024-05-28 Xiuding Cai , Yaoyao Zhu , Xueyao Wang , Yu Yao

Multivariate time series forecasting focuses on predicting future values based on historical context. State-of-the-art sequence-to-sequence models rely on neural attention between timesteps, which allows for temporal learning but fails to…

Machine Learning · Computer Science 2023-03-21 Jake Grigsby , Zhe Wang , Nam Nguyen , Yanjun Qi

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

The ubiquity of missing data in urban intelligence systems, attributable to adverse environmental conditions and equipment failures, poses a significant challenge to the efficacy of downstream applications, notably in the realms of traffic…

Machine Learning · Computer Science 2026-05-25 Songyu Ke , Chenyu Wu , Yuxuan Liang , Huiling Qin , Junbo Zhang , Yu Zheng

Traffic flow forecasting is a crucial task in transportation management and planning. The main challenges for traffic flow forecasting are that (1) as the length of prediction time increases, the accuracy of prediction will decrease; (2)…

Artificial Intelligence · Computer Science 2024-05-13 Jianli Xiao , Baichao Long

We study the forecasting problem for traffic with dynamic, possibly periodical, and joint spatial-temporal dependency between regions. Given the aggregated inflow and outflow traffic of regions in a city from time slots 0 to t-1, we predict…

Machine Learning · Computer Science 2022-05-05 Guanyao Li , Shuhan Zhong , S. -H. Gary Chan , Ruiyuan Li , Chih-Chieh Hung , Wen-Chih Peng

In multivariate time series (MTS) forecasting, many deep learning based methods have been proposed for modeling dependencies at multiple spatial (inter-variate) or temporal (intra-variate) scales. However, existing methods may fail to model…

Machine Learning · Computer Science 2025-09-03 Binqing Wu , Jianlong Huang , Zongjiang Shang , Ling Chen

We present a continuous time state estimation framework that unifies traditionally individual tasks of smoothing, tracking, and forecasting (STF), for a class of targets subject to smooth motion processes, e.g., the target moves with nearly…

Applications · Statistics 2021-04-21 Tiancheng Li , Huimin Chen , Shudong Sun , Juan M Corchado

Environmental monitoring is crucial to our understanding of climate change, biodiversity loss and pollution. The availability of large-scale spatio-temporal data from sources such as sensors and satellites allows us to develop sophisticated…