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Spatiotemporal dynamics pervade the natural sciences, from the morphogen dynamics underlying patterning in animal pigmentation to the protein waves controlling cell division. A central challenge lies in understanding how controllable…

Pattern Formation and Solitons · Physics 2025-03-03 Matthew Ricci , Guy Pelc , Zoe Piran , Noa Moriel , Mor Nitzan

Deep learning methods achieve remarkable predictive performance in modeling complex, large-scale data. However, assessing the quality of derived models has become increasingly challenging, as more classical statistical assumptions may no…

Machine Learning · Statistics 2026-03-02 Daniele Zambon , Cesare Alippi

This work presents a physics-informed deep learning-based super-resolution framework to enhance the spatio-temporal resolution of the solution of time-dependent partial differential equations (PDE). Prior works on deep learning-based…

Machine Learning · Computer Science 2022-12-09 Rajat Arora , Ankit Shrivastava

An important class of spatio-temporal models is constructed by leveraging the hierarchical structure of dynamical (or, state-space) models. This paper proposes a new statistical dynamical model for spatio-temporal processes motivated by…

Methodology · Statistics 2026-05-11 Yutong Zhang , Xiao Liu

Recent years, weather forecasting has gained significant attention. However, accurately predicting weather remains a challenge due to the rapid variability of meteorological data and potential teleconnections. Current spatiotemporal…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 Yuhao Du , Hui Liu , Haoxiang Peng , Xinyuan Cheng , Chengrong Wu , Jiankai Zhang

Spatiotemporal forecasting of complex three-dimensional phenomena (4D: 3D + time) is fundamental to applications in medical imaging, fluid and material dynamics, and geophysics. In contrast to unconstrained neural forecasting models, we…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Ahsan Raza Siyal , Markus Haltmeier , Ruth Steiger , Elke Ruth Gizewski , Astrid Ellen Grams

Redshift prediction is a fundamental task in astronomy, essential for understanding the expansion of the universe and determining the distances of astronomical objects. Accurate redshift prediction plays a crucial role in advancing our…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Amirreza Dolatpour Fathkouhi , Geoffrey Charles Fox

The majority of modern consumer-level energy is generated by real-time smart metering systems. These frequently contain anomalies, which prevent reliable estimates of the series' evolution. This work introduces a hybrid modeling approach…

Machine Learning · Computer Science 2024-04-09 Sarit Maitra , Sukanya Kundu , Aishwarya Shankar

The problem of forecasting spatiotemporal events such as crimes and accidents is crucial to public safety and city management. Besides accuracy, interpretability is also a key requirement for spatiotemporal forecasting models to justify the…

Machine Learning · Computer Science 2024-12-23 Bang An , Xun Zhou , Zirui Zhou , Ronilo Ragodos , Zenglin Xu , Jun Luo

We present a method for learning latent stochastic differential equations (SDEs) from high-dimensional time series data. Given a high-dimensional time series generated from a lower dimensional latent unknown It\^o process, the proposed…

Machine Learning · Statistics 2021-11-30 Ali Hasan , João M. Pereira , Sina Farsiu , Vahid Tarokh

Spatio-temporal (ST) data, which represent multiple time series data corresponding to different spatial locations, are ubiquitous in real-world dynamic systems, such as air quality readings. Forecasting over ST data is of great importance…

Machine Learning · Computer Science 2018-10-01 Zheyi Pan , Yuxuan Liang , Junbo Zhang , Xiuwen Yi , Yong Yu , Yu Zheng

Variational autoencoders (VAE) are powerful generative models that learn the latent representations of input data as random variables. Recent studies show that VAE can flexibly learn the complex temporal dynamics of time series and achieve…

Machine Learning · Computer Science 2023-11-14 Borui Cai , Shuiqiao Yang , Longxiang Gao , Yong Xiang

Seasonal forecasting remains challenging due to the inherent chaotic nature of atmospheric dynamics. This paper introduces DeepSeasons, a novel deep learning approach designed to enhance the accuracy and reliability of seasonal forecasts.…

Atmospheric and Oceanic Physics · Physics 2025-09-16 A. Navarra , G. G. Navarra

Recent advancements in deep learning have led to the development of various models for long-term multivariate time-series forecasting (LMTF), many of which have shown promising results. Generally, the focus has been on…

Machine Learning · Computer Science 2024-02-28 Shiyi Qi , Zenglin Xu , Yiduo Li , Liangjian Wen , Qingsong Wen , Qifan Wang , Yuan Qi

Sea Surface Temperature (SST) prediction plays a vital role in climate modeling and disaster forecasting. However, it remains challenging due to its nonlinear spatiotemporal dynamics and extended prediction horizons. To address this, we…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Yin Wang , Chunlin Gong , Zhuozhen Xu , Lehan Zhang , Xiang Wu

Lane detection is crucial for vehicle localization which makes it the foundation for automated driving and many intelligent and advanced driving assistant systems. Available vision-based lane detection methods do not make full use of the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-14 Ruohan Li , Yongqi Dong

Inspired by the success of deep learning techniques in the physical and chemical sciences, we apply a modification of an autoencoder type deep neural network to the task of dimension reduction of molecular dynamics data. We can show that…

Machine Learning · Statistics 2018-04-04 Christoph Wehmeyer , Frank Noé

The unsupervised Pretraining method has been widely used in aiding human action recognition. However, existing methods focus on reconstructing the already present frames rather than generating frames which happen in future.In this paper, We…

Computer Vision and Pattern Recognition · Computer Science 2017-12-13 Yu Runsheng , Shi Zhenyu , Ma Qiongxiong , Qing Laiyun

This paper develops a unified and computationally efficient method for change-point estimation along the time dimension in a non-stationary spatio-temporal process. By modeling a non-stationary spatio-temporal process as a piecewise…

Methodology · Statistics 2023-10-09 Zifeng Zhao , Ting Fung Ma , Wai Leong Ng , Chun Yip Yau

We propose a hybrid meta-learning framework for forecasting and anomaly detection in nonlinear dynamical systems characterized by nonstationary and stochastic behavior. The approach integrates a physics-inspired simulator that captures…

Machine Learning · Computer Science 2025-06-18 Abdullah Burkan Bereketoglu
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