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We continue our study of the dynamics of mappings with small topological degree on (projective) complex surfaces. Previously, under mild hypotheses, we have constructed an ergodic ``equilibrium'' measure for each such mapping. Here we study…

Dynamical Systems · Mathematics 2009-09-10 Jeffrey Diller , Romain Dujardin , Vincent Guedj

The budgeted information gathering problem - where a robot with a fixed fuel budget is required to maximize the amount of information gathered from the world - appears in practice across a wide range of applications in autonomous…

Robotics · Computer Science 2016-11-15 Sanjiban Choudhury , Ashish Kapoor , Gireeja Ranade , Debadeepta Dey

Efficiently tackling multiple tasks within complex environment, such as those found in robot manipulation, remains an ongoing challenge in robotics and an opportunity for data-driven solutions, such as reinforcement learning (RL).…

Robotics · Computer Science 2024-04-03 Carlos Plou , Ana C. Murillo , Ruben Martinez-Cantin

We present an iterative active constraint learning (ACL) algorithm, within the learning from demonstrations (LfD) paradigm, which intelligently solicits informative demonstration trajectories for inferring an unknown constraint in the…

Robotics · Computer Science 2025-12-30 Zheng Qiu , Chih-Yuan Chiu , Glen Chou

Ergodic search enables optimal exploration of an information distribution while guaranteeing the asymptotic coverage of the search space. However, current methods typically have exponential computation complexity in the search space…

Robotics · Computer Science 2025-02-07 Max Muchen Sun , Ayush Gaggar , Peter Trautman , Todd Murphey

Current Human-Robot Interaction (HRI) systems for skill teaching are fragmented, and existing approaches in the literature do not offer a cohesive framework that is simultaneously efficient, intuitive, and universally safe. This paper…

Robotics · Computer Science 2026-04-10 Zi-Qi Yang , Mehrdad R. Kermani

Robust waypoint prediction is crucial for mobile robots operating in open-world, safety-critical settings. While Imitation Learning (IL) methods have demonstrated great success in practice, they are susceptible to distribution shifts: the…

Using a model Hamiltonian for a single-mode electromagnetic field interacting with a nonlinear medium, we show that quantum expectation values of subsystem observables can exhibit remarkably diverse ergodic properties even when the dynamics…

Quantum Physics · Physics 2007-06-21 C. Sudheesh , S. Lakshmibala , V. Balakrishnan

The widespread adoption of machine learning and artificial intelligence in all branches of science and technology has created a need for energy-efficient, alternative hardware platforms. While such neuromorphic approaches have been proposed…

Quantum Physics · Physics 2024-06-11 Clara C. Wanjura , Florian Marquardt

For dynamical systems satisfying the approximate $\mathbb{Z}^{d}$ or $\mathbb{Z}_+^{d}$-product property and asymptotically entropy expansiveness, we establish a precise description of the structure of their space of invariant measures. In…

Dynamical Systems · Mathematics 2026-05-21 Yage Liu , Ercai Chen , Xiaoyao Zhou

Many real-world systems, such as moving planets, can be considered as multi-agent dynamic systems, where objects interact with each other and co-evolve along with the time. Such dynamics is usually difficult to capture, and understanding…

Machine Learning · Computer Science 2020-11-10 Zijie Huang , Yizhou Sun , Wei Wang

We introduce a stochastic approximation method for the solution of an ergodic Kullback-Leibler control problem. A Kullback-Leibler control problem is a Markov decision process on a finite state space in which the control cost is…

Optimization and Control · Mathematics 2012-02-17 Joris Bierkens , Bert Kappen

Ergodic optimization aims to single out dynamically invariant Borel probability measures which maximize the integral of a given "performance" function. For a continuous self-map of a compact metric space and a dense set of continuous…

Dynamical Systems · Mathematics 2017-04-20 Mao Shinoda

We present some new results which relate information to chaotic dynamics. In our approach the quantity of information is measured by the Algorithmic Information Content (Kolmogorov complexity) or by a sort of computable version of it…

Statistical Mechanics · Physics 2007-05-23 V. Benci , C. Bonanno , S. Galatolo , G. Menconi , M. Virgilio

Model free reinforcement learning suffers from the high sampling complexity inherent to robotic manipulation or locomotion tasks. Most successful approaches typically use random sampling strategies which leads to slow policy convergence. In…

Robotics · Computer Science 2019-08-13 Miroslav Bogdanovic , Ludovic Righetti

Accurate state estimation plays a critical role in ensuring the robust control of humanoid robots, particularly in the context of learning-based control policies for legged robots. However, there is a notable gap in analytical research…

Robotics · Computer Science 2024-03-12 Zhicheng Wang , Wandi Wei , Ruiqi Yu , Jun Wu , Qiuguo Zhu

Statistical mechanics is founded on the assumption that all accessible configurations of a system are equally likely. This requires dynamics that explore all states over time, known as ergodic dynamics. In isolated quantum systems, however,…

Meta-learning has been proposed as a promising machine learning topic in recent years, with important applications to image classification, robotics, computer games, and control systems. In this paper, we study the problem of using…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Yunian Pan , Tao Li , Quanyan Zhu

Learning from Demonstration (LfD) is a framework that allows lay users to easily program robots. However, the efficiency of robot learning and the robot's ability to generalize to task variations hinges upon the quality and quantity of the…

This paper develops an adaptive observation-based efficient reinforcement learning (RL) approach for systems with uncertain drift dynamics. A novel concurrent learning adaptive extended observer (CL-AEO) is first designed to jointly…

Dynamical Systems · Mathematics 2020-11-25 Maopeng Ran , Lihua Xie
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