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The performance of transformers for time-series forecasting has improved significantly. Recent architectures learn complex temporal patterns by segmenting a time-series into patches and using the patches as tokens. The patch size controls…

Machine Learning · Computer Science 2024-03-25 Yitian Zhang , Liheng Ma , Soumyasundar Pal , Yingxue Zhang , Mark Coates

Recent years have seen a surge in data-driven surrogates for dynamical systems that can be orders of magnitude faster than numerical solvers. However, many machine learning-based models such as neural operators exhibit spectral bias,…

Machine Learning · Computer Science 2026-05-07 Xuesong Wang , Michael Groom , Rafael Oliveira , He Zhao , Terence O'Kane , Edwin V. Bonilla

In this paper, a self-supervised model that simultaneously predicts a sequence of future frames from video-input with a novel spatial-temporal attention (ST) network is proposed. The ST transformer network allows constraining both temporal…

Computer Vision and Pattern Recognition · Computer Science 2023-03-03 Houssem Boulahbal , Adrian Voicila , Andrew Comport

Modeling spatiotemporal dynamical systems is a fundamental challenge in machine learning. Transformer models have been very successful in NLP and computer vision where they provide interpretable representations of data. However, a…

Machine Learning · Computer Science 2023-08-01 Antonio H. de O. Fonseca , Emanuele Zappala , Josue Ortega Caro , David van Dijk

While deep reinforcement learning (RL) has been demonstrated effective in solving complex control tasks, sample efficiency remains a key challenge due to the large amounts of data required for remarkable performance. Existing research…

Machine Learning · Computer Science 2023-10-25 Mingxuan Ye , Yufei Kuang , Jie Wang , Rui Yang , Wengang Zhou , Houqiang Li , Feng Wu

Time series prediction is a prevalent issue across various disciplines, such as meteorology, traffic surveillance, investment, and energy production and consumption. Many statistical and machine-learning strategies have been developed to…

Machine Learning · Computer Science 2023-05-26 Wei Wang , Yang Liu , Hao Sun

We present a novel probabilistic deep learning approach, the 'Stochastic Latent Transformer' (SLT), designed for the efficient reduced-order modelling of stochastic partial differential equations. Stochastically driven flow models are…

Machine Learning · Computer Science 2024-06-21 Ira J. S. Shokar , Rich R. Kerswell , Peter H. Haynes

Existing works typically treat spatial-temporal prediction as the task of learning a function $F$ to transform historical observations to future observations. We further decompose this cross-time transformation into three processes: (1)…

Artificial Intelligence · Computer Science 2024-12-05 Silu He , Peng Shen , Pingzhen Xu , Qinyao Luo , Haifeng Li

Predicting time-series is of great importance in various scientific and engineering fields. However, in the context of limited and noisy data, accurately predicting dynamics of all variables in a high-dimensional system is a challenging…

Machine Learning · Computer Science 2025-06-16 Zijian Wang , Peng Tao , Luonan Chen

Multivariate Time Series Forecasting (MTSF) has long been a key research focus. Traditionally, these studies assume a fixed number of variables, but in real-world applications, Cyber-Physical Systems often expand as new sensors are…

Machine Learning · Computer Science 2025-06-03 Minbo Ma , Kai Tang , Huan Li , Fei Teng , Dalin Zhang , Tianrui Li

We propose a novel Transformer-based architecture for the task of generative modelling of 3D human motion. Previous work commonly relies on RNN-based models considering shorter forecast horizons reaching a stationary and often implausible…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Emre Aksan , Manuel Kaufmann , Peng Cao , Otmar Hilliges

This paper addresses the task of anomaly diagnosis when the underlying data generation process has a complex spatio-temporal (ST) dependency. The key technical challenge is to extract actionable insights from the dependency tensor…

Machine Learning · Computer Science 2023-05-30 Jokin Labaien , Tsuyoshi Idé , Pin-Yu Chen , Ekhi Zugasti , Xabier De Carlos

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

Extrapolating future weather radar echoes from past observations is a complex task vital for precipitation nowcasting. The spatial morphology and temporal evolution of radar echoes exhibit a certain degree of correlation, yet they also…

Computer Vision and Pattern Recognition · Computer Science 2024-02-29 Liangyu Xu , Wanxuan Lu , Hongfeng Yu , Fanglong Yao , Xian Sun , Kun Fu

Spatio-temporal forecasting is crucial in transportation, logistics, and supply chain management. However, current methods struggle with large, complex datasets. We propose a dynamic, multi-modal approach that integrates the strengths of…

Machine Learning · Computer Science 2024-08-27 Sagar Srinivas Sakhinana , Geethan Sannidhi , Chidaksh Ravuru , Venkataramana Runkana

Traffic forecasting has emerged as a core component of intelligent transportation systems. However, timely accurate traffic forecasting, especially long-term forecasting, still remains an open challenge due to the highly nonlinear and…

Signal Processing · Electrical Eng. & Systems 2021-03-30 Mingxing Xu , Wenrui Dai , Chunmiao Liu , Xing Gao , Weiyao Lin , Guo-Jun Qi , Hongkai Xiong

Fluctuation theorems (FTs) quantify the thermodynamic reversibility of a system, and for deterministic systems they are defined in terms of the dissipation function. However, in a nonequilibrium steady state of deterministic dynamics, the…

Statistical Mechanics · Physics 2026-03-24 Stephen Sanderson , Charlotte F. Petersen , Debra J. Searles

In this paper we investigate new results on the theory of superoscillations using time-frequency analysis tools and techniques such as the short-time Fourier transform (STFT) and the Zak transform. We start by studying how the short-time…

Functional Analysis · Mathematics 2024-07-18 Daniel Alpay , Antonino De Martino , Kamal Diki , Daniele C. Struppa

We introduce the Latent Fourier Transform (LatentFT), a framework that provides novel frequency-domain controls for generative music models. LatentFT combines a diffusion autoencoder with a latent-space Fourier transform to separate musical…

Sound · Computer Science 2026-04-21 Mason Wang , Cheng-Zhi Anna Huang

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