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High-Frequency trading (HFT) environments are characterised by large volumes of limit order book (LOB) data, which is notoriously noisy and non-linear. Alpha decay represents a significant challenge, with traditional models such as DeepLOB…

Machine Learning · Computer Science 2026-01-07 Ahmad Makinde

The proliferation of edge devices has dramatically increased the generation of multivariate time-series (MVTS) data, essential for applications from healthcare to smart cities. Such data streams, however, are vulnerable to anomalies that…

Machine Learning · Computer Science 2025-03-17 Long Tan Le , Tung-Anh Nguyen , Han Shu , Suranga Seneviratne , Choong Seon Hong , Nguyen H. Tran

Temporal distributional shifts, with underlying dynamics changing over time, frequently occur in real-world time series and pose a fundamental challenge for deep neural networks (DNNs). In this paper, we propose a novel deep sequence model…

Machine Learning · Computer Science 2023-03-01 Rui Wang , Yihe Dong , Sercan Ö. Arik , Rose Yu

Kalman Filter (KF) is an optimal linear state prediction algorithm, with applications in fields as diverse as engineering, economics, robotics, and space exploration. Here, we develop an extension of the KF, called a Pathspace Kalman Filter…

Machine Learning · Statistics 2024-04-03 Chaitra Agrahar , William Poole , Simone Bianco , Hana El-Samad

The fast frequency support (FFS) towards frequency trajectory optimization provides a system view for the frequency regulation of wind farms (WFs). However, the existing frequency trajectory optimization-based FFS generally relies on the…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Yubo Zhang , Songhao Yang , Zhiguo Hao , Baohui Zhang

Despite the outstanding performance of deep learning models in clinical prediction tasks, explainability remains a significant challenge. Inspired by transformer architectures, we introduce the Temporal-Feature Cross Attention Mechanism…

Machine Learning · Computer Science 2025-09-22 Yubo Li , Xinyu Yao , Rema Padman

Time-series prediction has drawn considerable attention during the past decades fueled by the emerging advances of deep learning methods. However, most neural network based methods lack interpretability and fail in extracting the hidden…

Machine Learning · Computer Science 2023-03-03 Xiaoyi Liu , Duxin Chen , Wenjia Wei , Xia Zhu , Wenwu Yu

The differentiable shift-variant filtered backprojection (FBP) model enables the reconstruction of cone-beam computed tomography (CBCT) data for any non-circular trajectories. This method employs deep learning technique to estimate the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Chengze Ye , Linda-Sophie Schneider , Yipeng Sun , Mareike Thies , Andreas Maier

Functional bilevel optimization (FBO) provides a powerful framework for hierarchical learning in function spaces, yet current methods are limited to static offline settings and perform suboptimally in online, non-stationary scenarios. We…

Machine Learning · Statistics 2026-01-23 Jason Bohne , Ieva Petrulionyte , Michael Arbel , Julien Mairal , Paweł Polak

Existing local dynamic route planning algorithms, when directly applied to terrain following/terrain avoidance, or dynamic obstacle avoidance for large and medium-sized fixed-wing aircraft, fail to simultaneously meet the requirements of…

Robotics · Computer Science 2024-12-31 Rongkun Xue , Jing Yang , Yuyang Jiang , Yiming Feng , Zi Yang

Koopman operator theory has found significant success in learning models of complex, real-world dynamical systems, enabling prediction and control. The greater interpretability and lower computational costs of these models, compared to…

Dynamical Systems · Mathematics 2025-01-08 William T. Redman , Dean Huang , Maria Fonoberova , Igor Mezić

We develop algorithms built around properties of the transfer operator and Koopman operator which 1) test for possible multiscale dynamics in a given dynamical system, 2) estimate the magnitude of the time-scale separation, and finally 3)…

Dynamical Systems · Mathematics 2014-12-24 Gary Froyland , Georg A. Gottwald , Andy Hammerlindl

Forecasting physical systems over long horizons from irregularly sampled observations demands models that are stable, computationally efficient, and free of fixed-timestep assumptions. We address this with a continuous-time Koopman…

Machine Learning · Computer Science 2026-05-11 Rares Grozavescu , Pengyu Zhang , Etienne Meunier , Mark Girolami

Short-term prediction (nowcasting) of low-visibility and precipitation events is critical for aviation safety and operational efficiency. Current operational approaches rely on computationally intensive numerical weather prediction guidance…

Machine Learning · Computer Science 2025-12-23 Marcelo Cerda Castillo

Diffusion models excel at generating diverse and multimodal trajectories for robotic planning, yet their iterative denoising process introduces latency that is incompatible with high-frequency closed-loop control. To address this problem,…

Robotics · Computer Science 2026-05-26 Lei Zheng , Peiqi Yu , Zengqi Peng , Changliu Liu , Armin Lederer

With the development of Internet of Things (IoT) systems, precise long-term forecasting method is requisite for decision makers to evaluate current statuses and formulate future policies. Currently, Transformer and MLP are two paradigms for…

Machine Learning · Computer Science 2023-12-12 Li Shen , Yuning Wei , Yangzhu Wang , Hongguang Li

Existing video camouflaged object detection (VCOD) methods primarily rely on spatial appearances for motion perception. However, the high foreground-background similarity in VCOD limits the discriminability of such features (e.g. color and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Xin Li , Keren Fu , Qijun Zhao

In this paper, we propose a novel algorithm for learning the Koopman operator of a dynamical system from a \textit{small} amount of training data. In many applications of data-driven modeling, e.g. biological network modeling,…

Dynamical Systems · Mathematics 2021-03-09 Subhrajit Sinha , Umesh Vaidya , Enoch Yeung

Trajectory prediction is a pivotal component of autonomous driving systems, enabling the application of accumulated movement experience to current scenarios. Although most existing methods concentrate on learning continuous representations…

Computer Vision and Pattern Recognition · Computer Science 2024-10-04 Hang Guo , Yuzhen Zhang , Tianci Gao , Junning Su , Pei Lv , Mingliang Xu

We study the metastability properties of a simple prototypical bistable system using the formalism of the Koopman operator. Instead of studying noise-induced transitions by following the trajectories of the system, we track them by studying…

Statistical Mechanics · Physics 2026-05-19 Ankan Banerjee , Manuel Santos Gutierrez , John Moroney , Valerio Lucarini
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