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We introduce and analyze a variant of multivariate singular spectrum analysis (mSSA), a popular time series method to impute and forecast a multivariate time series. Under a spatio-temporal factor model we introduce, given $N$ time series…

Machine Learning · Computer Science 2022-06-22 Anish Agarwal , Abdullah Alomar , Devavrat Shah

With the rapid development of location based services, multimodal spatio-temporal (ST) data including trajectories, transportation modes, traffic flow and social check-ins are being collected for deep learning based methods. These deep…

Machine Learning · Computer Science 2024-07-24 Chenxing 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

We introduce the probabilistic sequential matrix factorization (PSMF) method for factorizing time-varying and non-stationary datasets consisting of high-dimensional time-series. In particular, we consider nonlinear Gaussian state-space…

Machine Learning · Statistics 2021-03-19 Ömer Deniz Akyildiz , Gerrit J. J. van den Burg , Theodoros Damoulas , Mark F. J. Steel

Spatio-temporal (ST) prediction is an important and widely used technique in data mining and analytics, especially for ST data in urban systems such as transportation data. In practice, the ST data generation is usually influenced by…

Machine Learning · Computer Science 2024-03-08 Jiahao Ji , Jingyuan Wang , Yu Mou , Cheng Long

Many econometric analyses involve spatio--temporal data. A considerable amount of literature has addressed spatio--temporal models, with Spatial Dynamic Panel Data (SDPD) being widely investigated and applied. In real data applications,…

Methodology · Statistics 2016-07-18 Maria Lucia Parrella

We propose a new solution to the blind source separation problem that factors mixed time-series signals into a sum of spatiotemporal modes, with the constraint that the temporal components are intrinsic mode functions (IMF's). The key…

Numerical Analysis · Mathematics 2018-06-25 Seth M. Hirsh , Bingni W. Brunton , J. Nathan Kutz

Although MODIS time series data are critical for supporting dynamic, large-scale land cover land use classification, it is a challenging task to capture the subtle class signature information due to key MODIS difficulties, e.g., high…

Image and Video Processing · Electrical Eng. & Systems 2025-08-06 Zack Dewis , Zhengsen Xu , Yimin Zhu , Motasem Alkayid , Mabel Heffring , Lincoln Linlin Xu

We introduce deep Markov spatio-temporal factorization (DMSTF), a generative model for dynamical analysis of spatio-temporal data. Like other factor analysis methods, DMSTF approximates high dimensional data by a product between time…

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

Multivariate time-series forecasting plays a crucial role in many real-world applications. It is a challenging problem as one needs to consider both intra-series temporal correlations and inter-series correlations simultaneously. Recently,…

Machine Learning · Computer Science 2021-03-16 Defu Cao , Yujing Wang , Juanyong Duan , Ce Zhang , Xia Zhu , Conguri Huang , Yunhai Tong , Bixiong Xu , Jing Bai , Jie Tong , Qi Zhang

In many problem settings that require spatio-temporal forecasting, the values in the time-series not only exhibit spatio-temporal correlations but are also influenced by spatial diffusion across locations. One such example is forecasting…

Machine Learning · Computer Science 2024-12-19 Malay Pandey , Vaishali Jain , Nimit Godhani , Sachchida Nand Tripathi , Piyush Rai

Making predictions in a robust way is a difficult task only based on the observed data of a nonlinear system. In this work, a neural network computing framework, the spatiotemporal information conversion machine (STICM), was developed to…

Machine Learning · Computer Science 2023-02-20 Hao Peng , Pei Chen , Rui Liu , Luonan Chen

Foundation models (FMs) have emerged as a powerful paradigm, enabling a diverse range of data analytics and knowledge discovery tasks across scientific fields. Inspired by the success of FMs, particularly large language models, researchers…

Machine Learning · Computer Science 2025-11-27 Sean Bin Yang , Ying Sun , Yunyao Cheng , Yan Lin , Kristian Torp , Jilin Hu

Long Short-Term Memory (LSTM) is a well-known method used widely on sequence learning and time series prediction. In this paper we deployed stacked LSTM model in an application of weather forecasting. We propose a 2-layer spatio-temporal…

Machine Learning · Computer Science 2018-11-16 Zahra Karevan , Johan A. K. Suykens

Traffic prediction is a challenging spatio-temporal forecasting problem that involves highly complex spatio-temporal correlations. This paper proposes a Multi-level Multi-view Augmented Spatio-temporal Transformer (LVSTformer) for traffic…

Machine Learning · Computer Science 2024-06-19 Jiaqi Lin , Qianqian Ren

Bike-sharing systems (BSSs) have become increasingly popular around the globe and have attracted a wide range of research interests. In this paper, the demand forecasting problem in BSSs is studied. Spatial and temporal features are…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Xiao Yan , Gang Kou , Feng Xiao , Dapeng Zhang , Xianghua Gan

In the era of information explosion, spatio-temporal data mining serves as a critical part of urban management. Considering the various fields demanding attention, e.g., traffic state, human activity, and social event, predicting multiple…

Artificial Intelligence · Computer Science 2023-09-19 Zijian Zhang , Xiangyu Zhao , Qidong Liu , Chunxu Zhang , Qian Ma , Wanyu Wang , Hongwei Zhao , Yiqi Wang , Zitao Liu

Spatial-Temporal Graph (STG) data is characterized as dynamic, heterogenous, and non-stationary, leading to the continuous challenge of spatial-temporal graph learning. In the past few years, various GNN-based methods have been proposed to…

Machine Learning · Computer Science 2024-05-21 Lincan Li , Hanchen Wang , Wenjie Zhang , Adelle Coster

This paper introduces SparseTSF, a novel, extremely lightweight model for Long-term Time Series Forecasting (LTSF), designed to address the challenges of modeling complex temporal dependencies over extended horizons with minimal…

Machine Learning · Computer Science 2024-06-04 Shengsheng Lin , Weiwei Lin , Wentai Wu , Haojun Chen , Junjie Yang