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Real world evolves in continuous time but computations are done from finite samples. Therefore, we study algorithms using finite observations in continuous-time linear dynamical systems. We first study the system identification problem, and…

Systems and Control · Electrical Eng. & Systems 2025-09-30 Hongyi Zhou , Jingwei Li , Jingzhao Zhang

This paper presents an active learning strategy for robotic systems that takes into account task information, enables fast learning, and allows control to be readily synthesized by taking advantage of the Koopman operator representation. We…

Robotics · Computer Science 2019-06-13 Ian Abraham , Todd D. Murphey

Achieving highly accurate dynamic or simulator models that are close to the real robot can facilitate model-based controls (e.g., model predictive control or linear-quadradic regulators), model-based trajectory planning (e.g., trajectory…

Robotics · Computer Science 2023-05-09 Alexander Schperberg , Yusuke Tanaka , Feng Xu , Marcel Menner , Dennis Hong

The performance of tracking algorithms strongly depends on the chosen model assumptions regarding the target dynamics. If there is a strong mismatch between the chosen model and the true object motion, the track quality may be poor or the…

Machine Learning · Statistics 2024-10-15 Isabel Schlangen , André Brandenburger , Mengwei Sun , James R. Hopgood

We present a comprehensive examination of learning methodologies employed for the structural identification of dynamical systems. These techniques are designed to elucidate emergent phenomena within intricate systems of interacting agents.…

Machine Learning · Computer Science 2024-04-08 Jinchao Feng , Ming Zhong

Emerging vehicular systems with increasing proportions of automated components present opportunities for optimal control to mitigate congestion and increase efficiency. There has been a recent interest in applying deep reinforcement…

Artificial Intelligence · Computer Science 2022-08-02 Zhongxia Yan , Abdul Rahman Kreidieh , Eugene Vinitsky , Alexandre M. Bayen , Cathy Wu

The design and analysis of systems that combine computational behaviour with physical processes' continuous dynamics - such as movement, velocity, and voltage - is a famous, challenging task. Several theoretical results from programming…

Systems and Control · Electrical Eng. & Systems 2024-11-22 Pedro Mendes , Ricardo Correia , Renato Neves , José Proença

The current research interest in autonomous driving is growing at a rapid pace, attracting great investments from both the academic and corporate sectors. In order for vehicles to be fully autonomous, it is imperative that the driver…

Computer Vision and Pattern Recognition · Computer Science 2019-05-07 Kai Li Lim , Thomas Bräunl

Production machine learning (ML) systems fail silently -- not with crashes, but through wrong decisions. While observability is recognized as critical for ML operations, there is a lack empirical evidence of what practitioners actually…

Software Engineering · Computer Science 2025-10-29 Joran Leest , Ilias Gerostathopoulos , Patricia Lago , Claudia Raibulet

The advent of big data has vast potential for discovery in natural phenomena ranging from climate science to medicine, but overwhelming complexity stymies insight. Existing theory is often not able to succinctly describe salient phenomena,…

Machine Learning · Computer Science 2021-06-25 Bryan E. Kaiser , Juan A. Saenz , Maike Sonnewald , Daniel Livescu

Nonlinear dynamical systems are widely encountered in various scientific and engineering fields. Despite significant advances in theoretical understanding, developing complete and integrated frameworks for analyzing and designing these…

Dynamical Systems · Mathematics 2025-11-12 Panpan Chen , Nader Motee , Qiyu Sun

We exploit the key idea that nonlinear system identification is equivalent to linear identification of the socalled Koopman operator. Instead of considering nonlinear system identification in the state space, we obtain a novel linear…

Systems and Control · Computer Science 2016-08-30 Alexandre Mauroy , Jorge Goncalves

Adaptive dynamical systems arise in a multitude of contexts, e.g., optimization, control, communications, signal processing, and machine learning. A precise characterization of their fundamental limitations is therefore of paramount…

Information Theory · Computer Science 2010-10-13 Maxim Raginsky

The purpose of this article is to provide a perspective -- admittedly, a rather subjective one -- of recent developments at the interface of machine learning/data-driven methods and nonlinear wave studies. We review some recent pillars of…

Pattern Formation and Solitons · Physics 2026-04-15 Jimmie Adriazola , Panayotis G. Kevrekidis , Vassilis Koukouloyannis , Wei Zhu

Identifying hidden dynamics from observed data is a significant and challenging task in a wide range of applications. Recently, the combination of linear multistep methods (LMMs) and deep learning has been successfully employed to discover…

Numerical Analysis · Mathematics 2022-09-14 Qiang Du , Yiqi Gu , Haizhao Yang , Chao Zhou

Questions in causality, control, and reinforcement learning go beyond the classical machine learning task of prediction under i.i.d. observations. Instead, these fields consider the problem of learning how to actively perturb a system to…

The abundance of process operating data in modern industries, along with the rapid advancement of learning techniques, has led to a paradigm shift towards data-centric analysis and control. However, integrating machine learning with control…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Yitao Yan , Yu Tong , Jie Bao , Wei Wang

We present log-linear dynamical systems, a dynamical system model for positive quantities. We explain the connection to linear dynamical systems and show how convex optimization can be used to identify and control log-linear dynamical…

Optimization and Control · Mathematics 2020-02-07 Steven Diamond

In this work we offer a framework for reasoning about a wide class of existing objectives in machine learning. We develop a formal correspondence between this work and thermodynamics and discuss its implications.

Machine Learning · Computer Science 2018-10-08 Alexander A. Alemi , Ian Fischer

Imitation learning (IL) enables agents to acquire skills by observing and replicating the behavior of one or multiple experts. In recent years, advances in deep learning have significantly expanded the capabilities and scalability of…

Machine Learning · Computer Science 2025-11-06 Iason Chrysomallis , Georgios Chalkiadakis
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