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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

Most methodologies for modeling Transmission Line (TL) based channels define the input-output relationship in the frequency domain (FD) and handle the TL resorting to a two-port network (2PN) formalism. These techniques have not yet been…

Information Theory · Computer Science 2011-09-27 Stefano Galli , Anna Scaglione

Spatial-temporal data modeling aims to mine the underlying spatial relationships and temporal dependencies of objects in a system. However, most existing methods focus on the modeling of spatial-temporal data in a single mode, lacking the…

Machine Learning · Computer Science 2023-08-23 Zihang Liu , Le Yu , Tongyu Zhu , Leiei Sun

Sequential tabular data is one of the most commonly used data types in real-world applications. Different from conventional tabular data, where rows in a table are independent, sequential tabular data contains rich contextual and sequential…

Many of today's data is time-series data originating from various sources, such as sensors, transaction systems, or production systems. Major challenges with such data include privacy and business sensitivity. Generative time-series models…

Machine Learning · Computer Science 2024-06-19 David Bergström , Mattias Tiger , Fredrik Heintz

The data generated by long-delayed dynamical systems can be organized in patterns by means of the so-called spatio-temporal representation, uncovering the role of multiple time-scales as independent degrees of freedom. However, their…

Chaotic Dynamics · Physics 2018-12-19 Francesco Marino , Giovanni Giacomelli

The dynamic mode decomposition (DMD) is a data-driven method used for identifying the dynamics of complex nonlinear systems. It extracts important characteristics of the underlying dynamics using measured time-domain data produced either by…

Numerical Analysis · Mathematics 2020-11-24 Ion Victor Gosea , Igor Pontes Duff

Time-dependent density functional theory (TDDFT) is a widely used method to investigate electron dynamics under external time-dependent perturbations such as laser fields. In this work, we present a machine learning approach to accelerate…

Materials Science · Physics 2025-12-02 Karan Shah , Attila Cangi

Delayed interactions are a common property of coupled natural systems and therefore arise in a variety of different applications. For instance, signals in neural or laser networks propagate at finite speed giving rise to delayed…

Dynamical Systems · Mathematics 2015-06-12 Leonhard Lücken , Jan Philipp Pade , Kolja Knauer , Serhiy Yanchuk

True-time delayers (TTDs) are popular components for hybrid beamforming architectures to combat the spatial-wideband effect in wideband near-field communications. In this paper, a serial and a hybrid serial-parallel TTD configuration are…

Information Theory · Computer Science 2024-04-09 Zhaolin Wang , Xidong Mu , Yuanwei Liu , Robert Schober

Dynamic mode decomposition (DMD) is a data-driven method that models high-dimensional time series as a sum of spatiotemporal modes, where the temporal modes are constrained by linear dynamics. For nonlinear dynamical systems exhibiting…

Dynamical Systems · Mathematics 2019-06-17 Seth M. Hirsh , Kameron Decker Harris , J. Nathan Kutz , Bingni W. Brunton

Time Series Forecasting (TSF) is an important application across many fields. There is a debate about whether Transformers, despite being good at understanding long sequences, struggle with preserving temporal relationships in time series…

Machine Learning · Computer Science 2025-10-20 Syed Tahir Hussain Rizvi , Neel Kanwal , Muddasar Naeem

Many dynamical systems can be described in terms of structured flows combining source/sink behavior, cyclic dynamics, and topology-constrained transport. These features arise across a wide range of domains, including physical, engineered,…

Data Analysis, Statistics and Probability · Physics 2026-05-19 Diego Casadei

In recent years, traffic flow prediction has become a highlight in the field of intelligent transportation systems. However, due to the temporal variations and dynamic spatial correlations of traffic data, traffic prediction remains highly…

Artificial Intelligence · Computer Science 2025-06-04 Tianfan Jiang , Mei Wu , Wenchao Weng , Dewen Seng , Yiqian Lin

Linear time-periodic (LTP) dynamical systems frequently appear in the modeling of phenomena related to fluid dynamics, electronic circuits, and structural mechanics via linearization centered around known periodic orbits of nonlinear…

Numerical Analysis · Mathematics 2017-06-13 Caleb C. Magruder , Serkan Gugercin , Christopher A. Beattie

Long-term Time Series Forecasting (LTSF) is crucial across various domains, but complex deep models like Transformers are often prone to overfitting on extended sequences. Linear Fully Connected models have emerged as a powerful…

Machine Learning · Computer Science 2026-02-10 Yuang Zhao , Tianyu Li , Jiadong Chen , Shenrong Ye , Fuxin Jiang , Xiaofeng Gao

Deep learning has achieved strong performance in Time Series Forecasting (TSF). However, we identify a critical representation paradox, termed Latent Chaos: models with accurate predictions often learn latent representations that are…

Machine Learning · Computer Science 2026-05-13 Jie Yang , Yifan Hu , Yuante Li , Kexin Zhang , Kaize Ding , Philip S. Yu

In orthogonal time frequency space (OTFS) modulation, information-carrying symbols reside in the delay-Doppler (DD) domain. By operating in the DD domain, an appealing property for communication arises: time-frequency (TF) dispersive…

Signal Processing · Electrical Eng. & Systems 2022-12-07 Franz Lampel , Alex Alvarado , Frans M. J. Willems

Time series forecasting plays a vital role across scientific, industrial, and environmental domains, especially when dealing with high-dimensional and nonlinear systems. While Transformer-based models have recently achieved state-of-the-art…

Machine Learning · Computer Science 2025-08-05 Ali Forootani , Mohammad Khosravi , Masoud Barati

Diffusion transformers have demonstrated remarkable generation quality, albeit requiring longer training iterations and numerous inference steps. In each denoising step, diffusion transformers encode the noisy inputs to extract the…

Computer Vision and Pattern Recognition · Computer Science 2025-04-10 Shuai Wang , Zhi Tian , Weilin Huang , Limin Wang
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