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Koopman analysis provides a general framework from which to analyze a nonlinear dynamical system in terms of a linear operator acting on an infinite-dimensional observable space. This theoretical framework provides a rigorous underpinning…

Dynamical Systems · Mathematics 2022-10-11 Dan Wilson

Traditional language models operate autoregressively, i.e., they predict one token at a time. Rapid explosion in model sizes has resulted in high inference times. In this work, we propose DynaMo, a suite of multi-token prediction language…

Computation and Language · Computer Science 2024-05-03 Shikhar Tuli , Chi-Heng Lin , Yen-Chang Hsu , Niraj K. Jha , Yilin Shen , Hongxia Jin

PyKoopman is a Python package for the data-driven approximation of the Koopman operator associated with a dynamical system. The Koopman operator is a principled linear embedding of nonlinear dynamics and facilitates the prediction,…

Systems and Control · Electrical Eng. & Systems 2023-06-23 Shaowu Pan , Eurika Kaiser , Brian M. de Silva , J. Nathan Kutz , Steven L. Brunton

Approaches based on Koopman operators have shown great promise in forecasting time series data generated by complex nonlinear dynamical systems (NLDS). Although such approaches are able to capture the latent state representation of a NLDS,…

Machine Learning · Computer Science 2024-10-01 Ashutosh Singh , Ashish Singh , Tales Imbiriba , Deniz Erdogmus , Ricardo Borsoi

Multivariate time series forecasting is crucial across various industries, where accurate extraction of complex periodic and trend components can significantly enhance prediction performance. However, existing models often struggle to…

Machine Learning · Computer Science 2025-05-08 Yulong Wang , Yushuo Liu , Xiaoyi Duan , Kai Wang

Network traffic classification is a crucial research area aiming to enhance service quality, streamline network management, and bolster cybersecurity. To address the growing complexity of transmission encryption techniques, various machine…

Machine Learning · Computer Science 2024-10-22 Tongze Wang , Xiaohui Xie , Wenduo Wang , Chuyi Wang , Youjian Zhao , Yong Cui

How to make a good trade-off between performance and computational cost is crucial for a tracker. However, current famous methods typically focus on complicated and time-consuming learning that combining temporal and appearance information…

Computer Vision and Pattern Recognition · Computer Science 2024-12-19 Jinxia Xie , Bineng Zhong , Qihua Liang , Ning Li , Zhiyi Mo , Shuxiang Song

The estimation of relative motion between spacecraft increasingly relies on feature-matching computer vision, which feeds data into a recursive filtering algorithm. Kalman filters, although efficient in noise compensation, demand extensive…

Robotics · Computer Science 2024-05-07 Moritz D. Pinheiro-Torres Vogt , Markus Huwald , M. Khalil Ben-Larbi , Enrico Stoll

System-Theoretic Process Analysis (STPA) is a recommended method for analysing complex systems, capable of identifying thousands of safety requirements often missed by traditional techniques such as Failure Mode and Effects Analysis (FMEA)…

Software Engineering · Computer Science 2025-08-26 Shufeng Chen , Halima El Badaoui , Mariat James Elizebeth , Takuya Nakashima , Siddartha Khastgir , Paul Jennings

Accurate estimation of aircraft operations, such as takeoffs and landings, is critical for effective airport management, yet remains challenging, especially at non-towered facilities lacking dedicated surveillance infrastructure. This paper…

Sound · Computer Science 2025-09-15 Abdullah All Tanvir , Chenyu Huang , Moe Alahmad , Chuyang Yang , Xin Zhong

Koopman operator theory offers a rigorous treatment of dynamics and has been emerging as an alternative modeling and learning-based control method across various robotics sub-domains. Due to its ability to represent nonlinear dynamics as a…

Time-Varying Bayesian Optimization (TVBO) is the go-to framework for optimizing a time-varying, expensive, noisy black-box function $f$. However, most of the asymptotic guarantees offered by TVBO algorithms rely on the assumption that…

Machine Learning · Statistics 2025-10-21 Anthony Bardou , Patrick Thiran

This paper presents an efficient model predictive path integral (MPPI) control framework for systems with complex nonlinear dynamics. To improve the computational efficiency of classic MPPI while preserving control performance, we replace…

Robotics · Computer Science 2026-03-06 Wenjian Hao , Yuxuan Fang , Zehui Lu , Shaoshuai Mou

This paper presents a novel learning-based trajectory planning framework for quadrotors that combines model-based optimization techniques with deep learning. Specifically, we formulate the trajectory optimization problem as a quadratic…

Robotics · Computer Science 2023-12-05 Yuwei Wu , Xiatao Sun , Igor Spasojevic , Vijay Kumar

Low-Rank Adaptation (LoRA) is a widely used parameter-efficient fine-tuning method for foundation models, but it suffers from parameter interference, resulting in suboptimal performance. Although Mixture-of-Experts (MoE)-based LoRA variants…

Machine Learning · Computer Science 2025-10-24 Heming Zou , Yunliang Zang , Wutong Xu , Yao Zhu , Xiangyang Ji

Accurate multi-step flight trajectory prediction plays an important role in Air Traffic Control, which can ensure the safety of air transportation. Two main issues limit the flight trajectory prediction performance of existing works. The…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Lan Wu , Xuebin Wang , Ruijuan Chu , Guangyi Liu , Jing Zhang , Linyu Wang

A hybrid (i.e., physics-guided data-driven) feedforward tracking controller is proposed for systems with unmodeled linear or nonlinear dynamics. The controller is based on the filtered basis function (FBF) approach, hence it is called a…

Systems and Control · Electrical Eng. & Systems 2022-06-27 Cheng-Hao Chou , Molong Duan , Chinedum E. Okwudire

Fourier Neural Operators (FNOs) have demonstrated exceptional accuracy in mapping functional spaces by leveraging Fourier transforms to establish a connection with underlying physical principles. However, their opaque inner workings often…

Fluid Dynamics · Physics 2025-11-04 Marco Cayuela , Vincent Le Chenadec , Peter Schmid , Taraneh Sayadi

Contextual information is vital for accurate trajectory prediction. For instance, the intricate flying behavior of migratory birds hinges on their analysis of environmental cues such as wind direction and air pressure. However, the diverse…

Machine Learning · Computer Science 2024-07-11 Jiang Wu , Dongyu Liu , Yuchen Lin , Yingcai Wu

Autonomous driving technologies have received notable attention in the past decades. In autonomous driving systems, identifying a precise dynamical model for motion control is nontrivial due to the strong nonlinearity and uncertainty in…

Systems and Control · Electrical Eng. & Systems 2023-08-11 Yongqian Xiao , Xinglong Zhang , Xin Xu , Xueqing Liu , Jiahang Liu