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Inverse optimal control (IOC) is a promising paradigm for learning and mimicking optimal control strategies from capable demonstrators, or gaining a deeper understanding of their intentions, by estimating an unknown objective function from…

Systems and Control · Electrical Eng. & Systems 2025-08-28 Rahel Rickenbach , Amon Lahr , Melanie N. Zeilinger

The Inverse Optimal Control (IOC) problem is a structured system identification problem that aims to identify the underlying objective function based on observed optimal trajectories. This provides a data-driven way to model experts'…

Optimization and Control · Mathematics 2024-02-28 Han Zhang , Axel Ringh

Inverse Optimal Control (IOC) aims to infer the underlying cost functional of an agent from observations of its expert behavior. This paper focuses on the IOC problem within the continuous-time linear quadratic regulator framework,…

Optimization and Control · Mathematics 2025-07-29 Meiling Yu , Lechen Feng , Lei Jiang , Yuan-Hua Ni

The goal of Inverse Optimal Control (IOC) is to identify the underlying objective function based on observed optimal trajectories. It provides a powerful framework to model expert's behavior, and a data-driven way to design an objective…

Optimization and Control · Mathematics 2022-04-28 Han Zhang , Axel Ringh , Weihan Jiang , Shaoyuan Li , Xiaoming Hu

This paper proposes a data-driven, iterative approach for inverse optimal control (IOC), which aims to learn the objective function of a nonlinear optimal control system given its states and inputs. The approach solves the IOC problem in a…

Systems and Control · Electrical Eng. & Systems 2023-04-04 Zihao Liang , Wenjian Hao , Shaoshuai Mou

Inverse Optimal Control (IOC) seeks to recover an unknown cost from expert demonstrations, and it provides a systematic way of modeling experts' decision mechanisms while considering the prior information of the cost functions.…

Optimization and Control · Mathematics 2025-12-01 Ziliang Wang , Han Zhang , Axel Ringh

Inverse optimal control (IOC) aims to estimate the underlying cost that governs the observed behavior of an expert system. However, in practical scenarios, the collected data is often corrupted by noise, which poses significant challenges…

Optimization and Control · Mathematics 2026-02-10 Ziliang Wang , Axel Ringh , Han Zhang

In this paper, the problem of finite horizon inverse optimal control (IOC) is investigated, where the quadratic cost function of a dynamic process is required to be recovered based on the observation of optimal control sequences. We propose…

Optimization and Control · Mathematics 2018-11-02 Yibei Li , Yu Yao , Xiaoming Hu

Inverse Optimal Control (IOC) is a powerful framework for learning a behaviour from observations of experts. The framework aims to identify the underlying cost function that the observed optimal trajectories (the experts' behaviour) are…

Optimization and Control · Mathematics 2023-05-25 Han Zhang , Axel Ringh

In this paper, the solvability of the Inverse Optimal Control (IOC) problem based on two existing minimum principal methods, is analysed. The aim of this work is to answer the question regarding what kinds of trajectories, that is depending…

Optimization and Control · Mathematics 2024-03-15 Afreen Islam , Guido Herrmann , Joaquin Carrasco

Inverse optimization (IO) is used to estimate unknown parameters of an optimization model from observed decisions. In the data-driven context, the estimated parameters are inherently uncertain, yet quantifying this uncertainty has received…

Optimization and Control · Mathematics 2026-05-26 Timothy C. Y. Chan , Nathan Sandholtz , Nasrin Yousefi

In this paper, we propose a new algorithm to solve the Inverse Stochastic Optimal Control (ISOC) problem of the linear-quadratic sensorimotor (LQS) control model. The LQS model represents the current state-of-the-art in describing…

Optimization and Control · Mathematics 2024-03-20 Philipp Karg , Manuel Hess , Balint Varga , Sören Hohmann

Reinforcement learning can acquire complex behaviors from high-level specifications. However, defining a cost function that can be optimized effectively and encodes the correct task is challenging in practice. We explore how inverse optimal…

Machine Learning · Computer Science 2016-05-30 Chelsea Finn , Sergey Levine , Pieter Abbeel

This paper introduces a novel model-free and a partially model-free algorithm for inverse optimal control (IOC), also known as inverse reinforcement learning (IRL), aimed at estimating the cost function of continuous-time nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Hamed Jabbari Asl , Eiji Uchibe

Inverse optimal control (IOC) allows the retrieval of optimal cost function weights, or behavioral parameters, from human motion. The literature on IOC uses methods that are either based on a slow bilevel process or a fast but…

Robotics · Computer Science 2025-10-10 Filip Bečanović , Kosta Jovanović , Vincent Bonnet

In this paper, we consider the inverse optimal control problem for the discrete-time linear quadratic regulator, over finite-time horizons. Given observations of the optimal trajectories, and optimal control inputs, to a linear…

Optimization and Control · Mathematics 2018-10-31 Han Zhang , Jack Umenberger , Xiaoming Hu

Cost functions have the potential to provide compact and understandable generalizations of motion. The goal of Inverse Optimal Control (IOC) is to analyze an observed behavior which is assumed to be optimal with respect to an unknown cost…

Robotics · Computer Science 2021-04-27 John R. Rebula , Stefan Schaal , James Finley , Ludovic Righetti

We study inverse optimization (IO), where the goal is to use a parametric optimization program as the hypothesis class to infer relationships between input-decision pairs. Most of the literature focuses on learning only the objective…

Optimization and Control · Mathematics 2025-05-22 Ke Ren , Peyman Mohajerin Esfahani , Angelos Georghiou

Inverse optimal control, also known as inverse reinforcement learning, is the problem of recovering an unknown reward function in a Markov decision process from expert demonstrations of the optimal policy. We introduce a probabilistic…

Machine Learning · Computer Science 2012-06-22 Sergey Levine , Vladlen Koltun

In data-driven inverse optimization an observer aims to learn the preferences of an agent who solves a parametric optimization problem depending on an exogenous signal. Thus, the observer seeks the agent's objective function that best…

Optimization and Control · Mathematics 2017-07-25 Peyman Mohajerin Esfahani , Soroosh Shafieezadeh-Abadeh , Grani Adiwena Hanasusanto , Daniel Kuhn
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