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This paper studies the decentralized optimization and learning problem where multiple interconnected agents aim to learn an optimal decision function defined over a reproducing kernel Hilbert space by jointly minimizing a global objective…

Machine Learning · Computer Science 2021-07-01 Ping Xu , Yue Wang , Xiang Chen , Zhi Tian

This paper introduces a computational framework to identify nonlinear input-output operators that fit a set of system trajectories while satisfying incremental integral quadratic constraints. The data fitting algorithm is thus regularized…

Optimization and Control · Mathematics 2021-10-25 Henk J. van Waarde , Rodolphe Sepulchre

Optimal transport is a powerful framework for the efficient allocation of resources between sources and targets. However, traditional models often struggle to scale effectively in the presence of large and heterogeneous populations. In this…

Artificial Intelligence · Computer Science 2024-11-13 Navpreet Kaur , Juntao Chen , Yingdong Lu

Interest in reinforcement learning (RL) for large-scale systems, comprising extensive populations of intelligent agents interacting with heterogeneous environments, has surged significantly across diverse scientific domains in recent years.…

Systems and Control · Electrical Eng. & Systems 2025-09-16 Wei Zhang , Jr-Shin Li

Hierarchies of temporally decoupled policies present a promising approach for enabling structured exploration in complex long-term planning problems. To fully achieve this approach an end-to-end training paradigm is needed. However,…

Machine Learning · Computer Science 2021-11-19 Abdul Rahman Kreidieh , Glen Berseth , Brandon Trabucco , Samyak Parajuli , Sergey Levine , Alexandre M. Bayen

Reinforcement learning considers the problem of finding policies that maximize an expected cumulative reward in a Markov decision process with unknown transition probabilities. In this paper we consider the problem of finding optimal…

Machine Learning · Computer Science 2020-10-19 Santiago Paternain , Juan Andres Bazerque , Alejandro Ribeiro

We consider learning in decentralized heterogeneous networks: agents seek to minimize a convex functional that aggregates data across the network, while only having access to their local data streams. We focus on the case where agents seek…

Optimization and Control · Mathematics 2021-06-02 Hrusikesha Pradhan , Amrit Singh Bedi , Alec Koppel , Ketan Rajawat

As autonomous robots move into complex, dynamic real-world environments, they must learn to navigate safely in real time, yet anticipating all possible behaviors is infeasible. We propose a composable, model-free reinforcement learning…

Robotics · Computer Science 2026-02-16 Xinhuan Sang , Abdelrahman Abdelgawad , Roberto Tron

Large-scale online ride-sharing platforms have substantially transformed our lives by reallocating transportation resources to alleviate traffic congestion and promote transportation efficiency. An efficient fleet management strategy not…

Multiagent Systems · Computer Science 2019-12-03 Kaixiang Lin , Renyu Zhao , Zhe Xu , Jiayu Zhou

In kernel methods, temporal information on the data is commonly included by using time-delayed embeddings as inputs. Recently, an alternative formulation was proposed by defining a gamma-filter explicitly in a reproducing kernel Hilbert…

Machine Learning · Statistics 2017-06-13 Steven Van Vaerenbergh , Simone Scardapane , Ignacio Santamaria

Evaluating autonomous driving systems in complex and diverse traffic scenarios through controllable simulation is essential to ensure their safety and reliability. However, existing traffic simulation methods face challenges in their…

Robotics · Computer Science 2025-08-01 Zhiyuan Liu , Leheng Li , Yuning Wang , Haotian Lin , Hao Cheng , Zhizhe Liu , Lei He , Jianqiang Wang

Reduced modeling of a computationally demanding dynamical system aims at approximating its trajectories, while optimizing the trade-off between accuracy and computational complexity. In this work, we propose to achieve such an approximation…

Machine Learning · Statistics 2025-02-20 Patrick Héas , Cédric Herzet , Benoit Combès

We present a reinforcement learning algorithm for learning sparse non-parametric controllers in a Reproducing Kernel Hilbert Space. We improve the sample complexity of this approach by imposing a structure of the state-action function…

Robotics · Computer Science 2021-03-30 Ekaterina Tolstaya , Ethan Stump , Alec Koppel , Alejandro Ribeiro

Reinforcement learning often needs to deal with the exponential growth of states and actions when exploring optimal control in high-dimensional spaces (often known as the curse of dimensionality). In this work, we address this issue by…

Machine Learning · Computer Science 2023-06-23 Yining Li , Peizhong Ju , Ness Shroff

We consider the problem of function estimation by a multi-agent system comprising of two agents and a fusion center. Each agent receives data comprising of samples of an independent variable (input) and the corresponding values of the…

Systems and Control · Electrical Eng. & Systems 2024-01-09 Aneesh Raghavan , Karl Henrik Johansson

Continuous-time stochastic processes underlie many natural and engineered systems. In healthcare, autonomous driving, and industrial control, direct interaction with the environment is often unsafe or impractical, motivating offline…

Machine Learning · Statistics 2025-11-14 Nicolas Hoischen , Petar Bevanda , Max Beier , Stefan Sosnowski , Boris Houska , Sandra Hirche

The paper considers independent reinforcement learning (IRL) for multi-agent decision-making process in the paradigm of federated learning (FL). We show that FL can clearly improve the policy performance of IRL in terms of training…

Machine Learning · Computer Science 2022-02-01 Xing Xu , Rongpeng Li , Zhifeng Zhao , Honggang Zhang

Reinforcement learning has received high research interest for developing planning approaches in automated driving. Most prior works consider the end-to-end planning task that yields direct control commands and rarely deploy their algorithm…

Robotics · Computer Science 2023-07-31 Marvin Klimke , Benjamin Völz , Michael Buchholz

This paper presents a novel operator-theoretic approach for optimal control of nonlinear stochastic systems within reproducing kernel Hilbert spaces. Our learning framework leverages data samples of system dynamics and stage cost functions,…

Optimization and Control · Mathematics 2025-04-28 Petar Bevanda , Nicolas Hoischen , Tobias Wittmann , Jan Brüdigam , Sandra Hirche , Boris Houska

In this work, we consider the problem of learning nonlinear operators that correspond to discrete-time nonlinear dynamical systems with inputs. Given an initial state and a finite input trajectory, such operators yield a finite output…

Optimization and Control · Mathematics 2024-12-25 Mircea Lazar