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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…

机器学习 · 计算机科学 2016-05-30 Chelsea Finn , Sergey Levine , Pieter Abbeel

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…

最优化与控制 · 数学 2025-05-22 Ke Ren , Peyman Mohajerin Esfahani , Angelos Georghiou

Inverse optimization (IO) aims to determine optimization model parameters from observed decisions. However, IO is not part of a data scientist's toolkit in practice, especially as many general-purpose machine learning packages are widely…

最优化与控制 · 数学 2021-02-23 Elaheh H. Iraj , Daria Terekhov

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.…

最优化与控制 · 数学 2025-12-01 Ziliang Wang , 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,…

最优化与控制 · 数学 2025-07-29 Meiling Yu , Lechen Feng , Lei Jiang , Yuan-Hua Ni

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…

系统与控制 · 电气工程与系统科学 2025-03-20 Hamed Jabbari Asl , Eiji Uchibe

Inspired by the recent successes of Inverse Optimization (IO) across various application domains, we propose a novel offline Reinforcement Learning (ORL) algorithm for continuous state and action spaces, leveraging the convex loss function…

机器学习 · 计算机科学 2026-03-19 Ioannis Dimanidis , Tolga Ok , Peyman Mohajerin Esfahani

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…

最优化与控制 · 数学 2023-05-25 Han Zhang , Axel Ringh

This work addresses inverse linear optimization where the goal is to infer the unknown cost vector of a linear program. Specifically, we consider the data-driven setting in which the available data are noisy observations of optimal…

最优化与控制 · 数学 2021-12-07 Rishabh Gupta , Qi Zhang

Given a set of observations generated by an optimization process, the goal of inverse optimization is to determine likely parameters of that process. We cast inverse optimization as a form of deep learning. Our method, called deep inverse…

机器学习 · 计算机科学 2018-12-04 Yingcong Tan , Andrew Delong , Daria Terekhov

Inverse Optimization (IO) is a framework for learning the unknown objective function of an expert decision-maker from a past dataset. In this paper, we extend the hypothesis class of IO objective functions to a reproducing kernel Hilbert…

机器学习 · 计算机科学 2024-11-01 Youyuan Long , Tolga Ok , Pedro Zattoni Scroccaro , Peyman Mohajerin Esfahani

Inverse optimal transport (OT) refers to the problem of learning the cost function for OT from observed transport plan or its samples. In this paper, we derive an unconstrained convex optimization formulation of the inverse OT problem,…

机器学习 · 计算机科学 2021-07-06 Shaojun Ma , Haodong Sun , Xiaojing Ye , Hongyuan Zha , Haomin Zhou

We propose a method for learning decision-makers' behavior in routing problems using Inverse Optimization (IO). The IO framework falls into the supervised learning category and builds on the premise that the target behavior is an optimizer…

最优化与控制 · 数学 2024-06-21 Pedro Zattoni Scroccaro , Piet van Beek , Peyman Mohajerin Esfahani , Bilge Atasoy

In this paper, the inverse reinforcement learning (IRL) problem is addressed to reconstruct the unknown cost function underlying an observed optimal policy in a model-free manner, whose online adaptation with completely off-policy system…

最优化与控制 · 数学 2025-11-20 Yibei Li , Yuexin Cao , Zhixin Liu , Lihua Xie

Consider the problem of finding an optimal value of some objective functional subject to constraints over numerical domain. This type of problem arises frequently in practical engineering tasks. Nowdays almost all general methods for…

最优化与控制 · 数学 2019-09-13 Sergey Karpukhin

This article studies inverse reinforcement learning (IRL) for the stochastic linear-quadratic optimal control problem, where two agents are considered. A learner agent does not know the expert agent's performance cost function, but it…

最优化与控制 · 数学 2024-05-28 Zhongshi Sun , Guangyan Jia

Stochastic optimisation algorithms are the de facto standard for machine learning with large amounts of data. Handling only a subset of available data in each optimisation step dramatically reduces the per-iteration computational costs,…

数值分析 · 数学 2024-12-19 Matthias J. Ehrhardt , Zeljko Kereta , Jingwei Liang , Junqi Tang

Inverse optimization refers to the inference of unknown parameters of an optimization problem based on knowledge of its optimal solutions. This paper considers inverse optimization in the setting where measurements of the optimal solutions…

最优化与控制 · 数学 2017-12-27 Anil Aswani , Zuo-Jun Max Shen , Auyon Siddiq

We consider the problem of learning optimal solutions of a partially known linear optimization problem and recovering its underlying cost function where a set of past decisions and the feasible set are known. We develop a new framework,…

最优化与控制 · 数学 2023-01-10 Farzin Ahmadi , Fardin Ganjkhanloo , Kimia Ghobadi

Inverse optimization describes a process that is the "reverse" of traditional mathematical optimization. Unlike traditional optimization, which seeks to compute optimal decisions given an objective and constraints, inverse optimization…

最优化与控制 · 数学 2022-07-28 Timothy C. Y. Chan , Rafid Mahmood , Ian Yihang Zhu
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