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We present new algorithms for inverse reinforcement learning (IRL, or inverse optimal control) in convex optimization settings. We argue that finite-space IRL can be posed as a convex quadratic program under a Bayesian inference framework…

Machine Learning · Computer Science 2013-01-22 Qifeng Qiao , Peter A. Beling

The notion of reproducing kernel Hilbert space (RKHS) has emerged in system identification during the past decade. In the resulting framework, the impulse response estimation problem is formulated as a regularized optimization defined on an…

Systems and Control · Electrical Eng. & Systems 2022-04-19 Mohammad Khosravi , Roy S. Smith

We propose a new decentralized robust kernel-based learning algorithm within the framework of reproducing kernel Hilbert spaces (RKHSs) by utilizing a networked system that can be represented as a connected graph. The robust loss function…

Machine Learning · Computer Science 2025-08-18 Zhan Yu , Zhongjie Shi , Ding-Xuan Zhou

Kernel methods are one of the cornerstones of learning-based control, modern system identification, surrogate modelling, and related fields. A key advantage of this class of learning and function approximation methods is the availability of…

Numerical Analysis · Mathematics 2026-05-20 Tizian Wenzel , Abdullah Tokmak , Christian Fiedler

Bayesian inverse reinforcement learning (IRL) methods are ideal for safe imitation learning, as they allow a learning agent to reason about reward uncertainty and the safety of a learned policy. However, Bayesian IRL is computationally…

Machine Learning · Computer Science 2019-12-11 Daniel S. Brown , Scott Niekum

The Inverse Reinforcement Learning (\textit{IRL}) problem has seen rapid evolution in the past few years, with important applications in domains like robotics, cognition, and health. In this work, we explore the inefficacy of current IRL…

Machine Learning · Computer Science 2022-09-28 Raeid Saqur

Accurate driving behavior modeling is fundamental to safe and efficient trajectory prediction, yet remains challenging in complex traffic scenarios. This paper presents a novel Inverse Reinforcement Learning (IRL) framework that captures…

Machine Learning · Computer Science 2026-02-06 Wenyun Li , Wenjie Huang , Zejian Deng , Chen Sun

To overcome the curse of dimensionality and curse of modeling in Dynamic Programming (DP) methods for solving classical Markov Decision Process (MDP) problems, Reinforcement Learning (RL) algorithms are popular. In this paper, we consider…

Machine Learning · Computer Science 2018-11-29 Arghyadip Roy , Vivek Borkar , Abhay Karandikar , Prasanna Chaporkar

Mean field games (MFG) and mean field control problems (MFC) are frameworks to study Nash equilibria or social optima in games with a continuum of agents. These problems can be used to approximate competitive or cooperative games with a…

Optimization and Control · Mathematics 2021-06-28 Andrea Angiuli , Jean-Pierre Fouque , Mathieu Lauriere

In inverse reinforcement learning (IRL), an agent seeks to replicate expert demonstrations through interactions with the environment. Traditionally, IRL is treated as an adversarial game, where an adversary searches over reward models, and…

Machine Learning · Computer Science 2025-04-23 Arnav Kumar Jain , Harley Wiltzer , Jesse Farebrother , Irina Rish , Glen Berseth , Sanjiban Choudhury

A differential dynamic programming (DDP)-based framework for inverse reinforcement learning (IRL) is introduced to recover the parameters in the cost function, system dynamics, and constraints from demonstrations. Different from existing…

Robotics · Computer Science 2024-07-30 Kun Cao , Xinhang Xu , Wanxin Jin , Karl H. Johansson , Lihua Xie

Reinforcement learning with verifiable rewards (RLVR) has recently enhanced the reasoning capabilities of large language models (LLMs), particularly for mathematical problem solving. However, a fundamental limitation remains: as the…

Machine Learning · Computer Science 2025-11-03 Wenhao Deng , Long Wei , Chenglei Yu , Tailin Wu

Inverse Reinforcement Learning addresses the problem of inferring an expert's reward function from demonstrations. However, in many applications, we not only have access to the expert's near-optimal behavior, but we also observe part of her…

Machine Learning · Computer Science 2021-09-03 Giorgia Ramponi , Gianluca Drappo , Marcello Restelli

Process rewards have been widely used in deep reinforcement learning to improve training efficiency, reduce variance, and prevent reward hacking. In LLM reasoning, existing works also explore various solutions for learning effective process…

Machine Learning · Computer Science 2026-05-21 Xian Wu , Kaijie Zhu , Ying Zhang , Lun Wang , Wenbo Guo

During initial iterations of training in most Reinforcement Learning (RL) algorithms, agents perform a significant number of random exploratory steps. In the real world, this can limit the practicality of these algorithms as it can lead to…

Machine Learning · Computer Science 2022-10-17 Ashish Kumar Jayant , Shalabh Bhatnagar

The focus of this paper is a Bayesian framework for solving a class of problems termed multi-agent inverse reinforcement learning (MIRL). Compared to the well-known inverse reinforcement learning (IRL) problem, MIRL is formalized in the…

Computer Science and Game Theory · Computer Science 2019-07-31 Xiaomin Lin , Peter A. Beling , Randy Cogill

Maximum likelihood estimation of energy-based models is a challenging problem due to the intractability of the log-likelihood gradient. In this work, we propose learning both the energy function and an amortized approximate sampling…

Machine Learning · Computer Science 2019-05-29 Rithesh Kumar , Sherjil Ozair , Anirudh Goyal , Aaron Courville , Yoshua Bengio

Effective action abstraction is crucial in tackling challenges associated with large action spaces in Imperfect Information Extensive-Form Games (IIEFGs). However, due to the vast state space and computational complexity in IIEFGs, existing…

Computer Science and Game Theory · Computer Science 2024-03-08 Boning Li , Zhixuan Fang , Longbo Huang

We establish the convergence of the unified two-timescale Reinforcement Learning (RL) algorithm presented in a previous work by Angiuli et al. This algorithm provides solutions to Mean Field Game (MFG) or Mean Field Control (MFC) problems…

Optimization and Control · Mathematics 2024-05-02 Andrea Angiuli , Jean-Pierre Fouque , Mathieu Laurière , Mengrui Zhang

Kernel mean embeddings, a widely used technique in machine learning, map probability distributions to elements of a reproducing kernel Hilbert space (RKHS). For supervised learning problems, where input-output pairs are observed, the…

Machine Learning · Statistics 2024-10-24 Ambrus Tamás , Balázs Csanád Csáji