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Accurate multivariate time series forecasting hinges on inter-series correlations, which often evolve in complex ways across different temporal scales. Existing methods are limited in modeling these multi-scale dependencies and struggle to…

Machine Learning · Computer Science 2026-01-27 Shaoxun Wang , Xingjun Zhang , Qianyang Li , Jiawei Cao , Zhendong Tan

This paper introduces a Multi-modal Diffusion model for Motion Prediction (MDMP) that integrates and synchronizes skeletal data and textual descriptions of actions to generate refined long-term motion predictions with quantifiable…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Leo Bringer , Joey Wilson , Kira Barton , Maani Ghaffari

Nowadays, our mobility systems are evolving into the era of intelligent vehicles that aim to improve road safety. Due to their vulnerability, pedestrians are the users who will benefit the most from these developments. However, predicting…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Lina Achaji , Thierno Barry , Thibault Fouqueray , Julien Moreau , Francois Aioun , Francois Charpillet

Neural ODEs (NODEs) have emerged as powerful tools for modeling time series data, offering the flexibility to adapt to varying input scales and capture complex dynamics. However, they face significant challenges: first, their reliance on…

Machine Learning · Computer Science 2025-10-07 Muhao Guo , Yang Weng

The forecasting of Multivariate Time Series (MTS) has long been an important but challenging task. Due to the non-stationary problem across long-distance time steps, previous studies primarily adopt stationarization method to attenuate the…

Machine Learning · Computer Science 2024-03-11 Muyao Wang , Wenchao Chen , Bo Chen

Multivariate time series classification is of great importance in practical applications and is a challenging task. However, deep neural network models such as Transformers exhibit high accuracy in multivariate time series classification…

Machine Learning · Computer Science 2024-11-19 Mingsen Du , Yanxuan Wei , Yingxia Tang , Xiangwei Zheng , Shoushui Wei , Cun Ji

Remote sensing spatiotemporal fusion (STF) addresses the fundamental trade-off between temporal and spatial resolution by combining high temporal-low spatial and high spatial-low temporal imagery. This paper presents the first comprehensive…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Enzhe Sun , Yongchuan Cui , Peng Liu , Jining Yan

We develop the uniform sparse Fast Fourier Transform (usFFT), an efficient, non-intrusive, adaptive algorithm for the solution of elliptic partial differential equations with random coefficients. The algorithm is an adaption of the sparse…

Numerical Analysis · Mathematics 2022-09-05 Lutz Kämmerer , Daniel Potts , Fabian Taubert

The short-time Fourier transform (STFT) is a time-frequency representation widely used in applications, for example in audio signal processing. Recently it has been shown that not only the amplitude, but also the phase of this…

Functional Analysis · Mathematics 2015-11-20 Peter Balazs , Dominik Bayer , Florent Jaillet , Peter Søndergaard

Transformer-based methods have shown great potential in long-term time series forecasting. However, most of these methods adopt the standard point-wise self-attention mechanism, which not only becomes intractable for long-term forecasting…

Machine Learning · Computer Science 2022-02-24 Dazhao Du , Bing Su , Zhewei Wei

The covariance function and the variogram play very important roles in modelling and in prediction of spatial and spatio-temporal data. The assumption of second order stationarity, in space and time, is often made in the analysis of spatial…

Statistics Theory · Mathematics 2016-10-20 T. Subba Rao , Gy. Terdik

Knowledge on evolving physical fields is of paramount importance in science, technology, and economics. Dynamical field inference (DFI) addresses the problem of reconstructing a stochastically driven, dynamically evolving field from finite…

Quantum Physics · Physics 2021-12-22 Margret Westerkamp , Igor Ovchinnikov , Philipp Frank , Torsten Enßlin

Leveraging spatio-temporal correlations among wind farms can significantly enhance the accuracy of ultra-short-term wind power forecasting. However, the complex and dynamic nature of these correlations presents significant modeling…

Machine Learning · Computer Science 2024-12-17 Xiaochong Dong , Xuemin Zhang , Ming Yang , Shengwei Mei

Stochastic Spatio-Temporal processes are prevalent across domains ranging from modeling of plasma to the turbulence in fluids to the wave function of quantum systems. This letter studies a measure-theoretic description of such systems by…

Optimization and Control · Mathematics 2021-05-25 George I. Boutselis , Ethan N. Evans , Marcus A. Pereira , Evangelos A. Theodorou

Wind power is attracting increasing attention around the world due to its renewable, pollution-free, and other advantages. However, safely and stably integrating the high permeability intermittent power energy into electric power systems…

Machine Learning · Computer Science 2023-05-31 Yang Zhang , Lingbo Liu , Xinyu Xiong , Guanbin Li , Guoli Wang , Liang Lin

Spatial Transformer Networks (STNs) estimate image transformations that can improve downstream tasks by `zooming in' on relevant regions in an image. However, STNs are hard to train and sensitive to mis-predictions of transformations. To…

Machine Learning · Computer Science 2022-06-16 Pola Schwöbel , Frederik Warburg , Martin Jørgensen , Kristoffer H. Madsen , Søren Hauberg

The Spatio-Temporal Traffic Prediction (STTP) problem is a classical problem with plenty of prior research efforts that benefit from traditional statistical learning and recent deep learning approaches. While STTP can refer to many…

Machine Learning · Computer Science 2022-04-12 Leye Wang , Di Chai , Xuanzhe Liu , Liyue Chen , Kai Chen

Generative models have gained significant attention in multivariate time series forecasting (MTS), particularly due to their ability to generate high-fidelity samples. Forecasting the probability distribution of multivariate time series is…

Machine Learning · Computer Science 2025-02-13 Shibo Feng , Peilin Zhao , Liu Liu , Pengcheng Wu , Zhiqi Shen

Given a time series vector, how can we efficiently compute a specified part of Fourier coefficients? Fast Fourier transform (FFT) is a widely used algorithm that computes the discrete Fourier transform in many machine learning applications.…

Machine Learning · Computer Science 2020-08-31 Yong-chan Park , Jun-Gi Jang , U Kang

Spatial-temporal forecasting is crucial and widely applicable in various domains such as traffic, energy, and climate. Benefiting from the abundance of unlabeled spatial-temporal data, self-supervised methods are increasingly adapted to…

Machine Learning · Computer Science 2024-12-20 Qi Zheng , Zihao Yao , Yaying Zhang