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Ergodic optimization is the study of extremal values of asymptotic dynamical quantities such as Birkhoff averages or Lyapunov exponents, and of the orbits or invariant measures that attain them. We discuss some results and problems.

Dynamical Systems · Mathematics 2018-04-24 Jairo Bochi

This paper develops \emph{iterative Covariance Regulation} (iCR), a novel method for active exploration and mapping for a mobile robot equipped with on-board sensors. The problem is posed as optimal control over the $SE(3)$ pose kinematics…

Robotics · Computer Science 2021-03-11 Shumon Koga , Arash Asgharivaskasi , Nikolay Atanasov

Designing learnable information-theoretic objectives for robot exploration remains challenging. Such objectives aim to guide exploration toward data that reduces uncertainty in model parameters, yet it is often unclear what information the…

Robotics · Computer Science 2026-05-13 Youwei Yu , Jionghao Wang , Zhengming Yu , Wenping Wang , Lantao Liu

We proposed a learning algorithm for nonparametric estimation and on-line prediction for general stationary ergodic sources. We prepare histograms each of which estimates the probability as a finite distribution, and mixture them with…

Information Theory · Computer Science 2010-06-29 Joe Suzuki

Robotic manipulation stands as a largely unsolved problem despite significant advances in robotics and machine learning in recent years. One of the key challenges in manipulation is the exploration of the dynamics of the environment when…

Robotics · Computer Science 2022-10-25 Tim Schneider , Boris Belousov , Georgia Chalvatzaki , Diego Romeres , Devesh K. Jha , Jan Peters

In this paper, we introduce a model of evolution and learning in robots that co-optimizes a distribution of latent design vectors (genotypes) and a mixture of control experts (neural modules), which are gated by the latent coordinates of…

Robotics · Computer Science 2026-05-26 Yibin Wang , Muhan Li , Zihan Guo , Sam Kriegman

The paper presents a robust parameter learning methodology for identification of nonlinear dynamical system from data while satisfying safety and stability constraints in the context of learning from demonstration (LfD) methods. Extreme…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Iman Salehi , Ghananeel Rotithor , Ashwin P. Dani

Imitation learning is a paradigm to address complex motion planning problems by learning a policy to imitate an expert's behavior. However, relying solely on the expert's data might lead to unsafe actions when the robot deviates from the…

Robotics · Computer Science 2024-11-06 Amin Abyaneh , Hsiu-Chin Lin

We consider a search problem where a robot has one or more types of sensors, each suited to detecting different types of targets or target information. Often, information in the form of a distribution of possible target locations, or…

Robotics · Computer Science 2023-10-03 Ananya Rao , Howie Choset

Robots have the potential to perform search for a variety of applications under different scenarios. Our work is motivated by humanitarian assistant and disaster relief (HADR) where often it is critical to find signs of life in the presence…

Exploring the spectrum of novel behaviors a physical system can produce can be a labor-intensive task. Active learning is a collection of iterative sampling techniques developed in response to this challenge. However, these techniques often…

Soft Condensed Matter · Physics 2023-08-03 Martin J. Falk , Finnegan D. Roach , William Gilpin , Arvind Murugan

We present a decentralized ergodic control policy for time-varying area coverage problems for multiple agents with nonlinear dynamics. Ergodic control allows us to specify distributions as objectives for area coverage problems for nonlinear…

Robotics · Computer Science 2018-08-29 Ian Abraham , Todd D. Murphey

Designing continuous trajectories whose time-averaged occupancy provably matches a prescribed spatial density (the \emph{ergodic coverage} problem) is central to UAV-assisted data collection and sensing, robotic exploration, and mobile…

Machine Learning · Computer Science 2026-05-14 Ehsan Aghazadeh , Masoud Malekzadeh , Ahmad Ghasemi , Hossein Pishro-Nik

Learning complex robot behaviors through interaction requires structured exploration. Planning should target interactions with the potential to optimize long-term performance, while only reducing uncertainty where conducive to this…

Machine Learning · Computer Science 2021-12-14 Tim Seyde , Wilko Schwarting , Sertac Karaman , Daniela Rus

Edge robotics involves frequent exchanges of large-volume multi-modal data. Existing methods ignore the interdependency between robotic functionalities and communication conditions, leading to excessive communication overhead. This paper…

Robotics · Computer Science 2025-10-21 Dan Guo , Xibin Jin , Shuai Wang , Zhigang Wen , Miaowen Wen , Chengzhong Xu

General robot manipulation requires the handling of previously unseen objects. Learning a physically accurate model at test time can provide significant benefits in data efficiency, predictability, and reuse between tasks. Tactile sensing…

Robotics · Computer Science 2026-02-26 Ethan K. Gordon , Bruke Baraki , Hien Bui , Michael Posa

This paper tackles the problem of integrated task and kinodynamic motion planning in uncertain environments. We consider a robot with nonlinear dynamics tasked with a Linear Temporal Logic over finite traces ($\ltlf$) specification…

Robotics · Computer Science 2026-04-02 Qi Heng Ho , Zachary N. Sunberg , Morteza Lahijanian

The discovery of novel experimental techniques often lags behind contemporary theoretical understanding. In particular, it can be difficult to establish appropriate measurement protocols without analytic descriptions of the underlying…

Data Analysis, Statistics and Probability · Physics 2023-07-21 Nicholas Hindley , Stephen J. DeVience , Ella Zhang , Leo L. Cheng , Matthew S. Rosen

Ergodic Optimization is the process of finding invariant probability measures that maximize the integral of a given function. It has been conjectured that "most" functions are optimized by measures supported on a periodic orbit, and it has…

Dynamical Systems · Mathematics 2015-03-17 Anthony Quas , Jason Siefken

Environments with controllable dynamics are usually understood in terms of explicit models. However, such models are not always available, but may sometimes be learned by exploring an environment. In this work, we investigate using an…

Machine Learning · Computer Science 2025-07-10 Peter N. Loxley , Friedrich T. Sommer