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A recent line of work in the machine learning community addresses the problem of predicting high-dimensional spatiotemporal phenomena by leveraging specific tools from the differential equations theory. Following this direction, we propose…

Machine Learning · Computer Science 2021-03-24 Jérémie Donà , Jean-Yves Franceschi , Sylvain Lamprier , Patrick Gallinari

Time series forecasting (TSF) remains a challenging problem due to the intricate entanglement of intraperiod-fluctuations and interperiod-trends. While recent advances have attempted to reshape 1D sequences into 2D period-phase…

Machine Learning · Computer Science 2026-03-04 Yixin Wang , Yifan Hu , Peiyuan Liu , Naiqi Li , Dai Tao , Shu-Tao Xia

We propose a method for learning dynamical systems from high-dimensional empirical data that combines variational autoencoders and (spatio-)temporal attention within a framework designed to enforce certain scientifically-motivated…

Machine Learning · Computer Science 2023-06-22 Kai Lagemann , Christian Lagemann , Sach Mukherjee

Federated learning involves training statistical models over edge devices such as mobile phones such that the training data is kept local. Federated Learning (FL) can serve as an ideal candidate for training spatial temporal models that…

Machine Learning · Computer Science 2024-02-09 Yacine Belal , Sonia Ben Mokhtar , Hamed Haddadi , Jaron Wang , Afra Mashhadi

Long-term forecasting of multivariate urban data poses a significant challenge due to the complex spatiotemporal dependencies inherent in such datasets. This paper presents DST, a novel multivariate time-series forecasting model that…

Machine Learning · Computer Science 2025-08-28 Amirhossein Sohrabbeig , Omid Ardakanian , Petr Musilek

Accurate and reliable forecasting of epidemic incidences is critical for public health preparedness, yet it remains a challenging task due to complex nonlinear temporal dependencies and heterogeneous spatial interactions. Often, point…

Machine Learning · Statistics 2026-03-10 Rajdeep Pathak , Tanujit Chakraborty

Multistep traffic forecasting on road networks is a crucial task in successful intelligent transportation system applications. To capture the complex non-stationary temporal dynamics and spatial dependency in multistep traffic-condition…

Machine Learning · Computer Science 2018-10-30 Zhengchao Zhang , Meng Li , Xi Lin , Yinhai Wang , Fang He

Spatio-temporal graphs are powerful tools for modeling complex dependencies in traffic time series. However, the distributed nature of real-world traffic data across multiple stakeholders poses significant challenges in modeling and…

Machine Learning · Computer Science 2025-11-14 Feng Wang , Tianxiang Chen , Shuyue Wei , Qian Chu , Yi Zhang , Yifan Sun , Zhiming Zheng

Traffic forecasting is essential to intelligent transportation systems, which is challenging due to the complicated spatial and temporal dependencies within a road network. Existing works usually learn spatial and temporal dependencies…

Machine Learning · Computer Science 2023-07-04 Binqing Wu , Ling Chen

Spatiotemporal dynamics is central to a wide range of applications from climatology, computer vision to neural sciences. From temporal observations taken on a high-dimensional vector of spatial locations, we seek to derive knowledge about…

Methodology · Statistics 2016-04-19 Lu Meng , Tian Zheng

Accurately perceiving dynamic environments is a fundamental task for autonomous driving and robotic systems. Existing methods inadequately utilize temporal information, relying mainly on local temporal interactions between adjacent frames…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Tianhao Li , Yang Li , Mengtian Li , Yisheng Deng , Weifeng Ge

We develop a new model for spatial random field reconstruction of a binary-valued spatial phenomenon. In our model, sensors are deployed in a wireless sensor network across a large geographical region. Each sensor measures a non-Gaussian…

Signal Processing · Electrical Eng. & Systems 2023-12-12 Shunan Sheng , Qikun Xiang , Ido Nevat , Ariel Neufeld

We introduce a scalable Gaussian process (GP) framework with deep product kernels for data-driven learning of parametrized spatio-temporal fields over fixed or parameter-dependent domains. The proposed framework learns a continuous…

Machine Learning · Computer Science 2026-03-03 Srinath Dama , Prasanth B. Nair

Practical tensor data is often along with time information. Most existing temporal decomposition approaches estimate a set of fixed factors for the objects in each tensor mode, and hence cannot capture the temporal evolution of the objects'…

Machine Learning · Computer Science 2023-11-09 Shikai Fang , Xin Yu , Shibo Li , Zheng Wang , Robert Kirby , Shandian Zhe

Accurate spatial prediction and rigorous uncertainty quantification are central to modern spatial epidemiology and environmental risk analysis. We introduce a statistically principled hybrid modelling framework that integrates the…

Methodology · Statistics 2026-04-15 Toba Temitope Bamidele , Ezra Gayawan , Femi Barnabas Adebola , Olatunji Johnson

Accurate and robust weather forecasting remains a fundamental challenge due to the inherent spatio-temporal complexity of atmospheric systems. In this paper, we propose a novel self-supervised learning framework that leverages…

Machine Learning · Computer Science 2025-11-04 Yao Liu

One of the primary objectives of satellite remote sensing is to capture the complex dynamics of the Earth environment, which encompasses tasks such as reconstructing continuous cloud-free image sequences, detecting land cover changes, and…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Yuxiang Zhang , Shunlin Liang , Wenyuan Li , Han Ma , Jianglei Xu , Yichuan Ma , Jiangwei Xie , Wei Li , Mengmeng Zhang , Ran Tao , Xiang-Gen Xia

We address tracking and prediction of multiple moving objects in visual data streams as inference and sampling in a disentangled latent state-space model. By encoding objects separately and including explicit position information in the…

Machine Learning · Statistics 2019-10-15 Adnan Akhundov , Maximilian Soelch , Justin Bayer , Patrick van der Smagt

There are multiple real-world problems in which training data is unavailable, and still, the ambition is to learn values of the system parameters, at which test data on an observable is realised, subsequent to the learning of the functional…

Applications · Statistics 2018-11-26 Cedric Spire , Dalia Chakrabarty

Learning the dynamics of spatiotemporal events is a fundamental problem. Neural point processes enhance the expressivity of point process models with deep neural networks. However, most existing methods only consider temporal dynamics…

Machine Learning · Computer Science 2024-12-10 Zihao Zhou , Xingyi Yang , Ryan Rossi , Handong Zhao , Rose Yu
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