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Related papers: Inverse Optimization for Routing Problems

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This paper focuses on inverse reinforcement learning for autonomous navigation using distance and semantic category observations. The objective is to infer a cost function that explains demonstrated behavior while relying only on the…

Machine Learning · Computer Science 2021-01-05 Tianyu Wang , Vikas Dhiman , Nikolay Atanasov

In this paper, we study an inverse reinforcement learning problem that involves learning the reward function of a learning agent using trajectory data collected while this agent is learning its optimal policy. To address this problem, we…

Machine Learning · Computer Science 2024-10-21 Kavinayan P. Sivakumar , Yi Shen , Zachary Bell , Scott Nivison , Boyuan Chen , Michael M. Zavlanos

This paper considers an aggregator of Electric Vehicles (EVs) who aims to learn the aggregate power of his/her fleet while also participating in the electricity market. The proposed approach is based on a data-driven inverse optimization…

Systems and Control · Electrical Eng. & Systems 2021-03-08 Ricardo Fernández-Blanco , Juan Miguel Morales , Salvador Pineda , Álvaro Porras

We consider the problem of modeling trajectories of drivers in a road network from the perspective of inverse reinforcement learning. Cars are detected by sensors placed on sparsely distributed points on the street network of a city. As…

Artificial Intelligence · Computer Science 2024-01-22 Anselmo R. Pitombeira-Neto , Helano P. Santos , Ticiana L. Coelho da Silva , José Antonio F. de Macedo

Network routing is a distributed decision problem which naturally admits numerical performance measures, such as the average time for a packet to travel from source to destination. OLPOMDP, a policy-gradient reinforcement learning…

Machine Learning · Computer Science 2025-12-04 Nigel Tao , Jonathan Baxter , Lex Weaver

We introduce efficient algorithms which achieve nearly optimal regrets for the problem of stochastic online shortest path routing with end-to-end feedback. The setting is a natural application of the combinatorial stochastic bandits…

Machine Learning · Computer Science 2018-12-20 Ruihao Zhu , Eytan Modiano

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

For AI systems to be useful to humans, they must understand and act in accordance with our values and preferences. Since specifying preferences is a hard task, inverse reinforcement learning (IRL) aims to develop methods that allow for…

Artificial Intelligence · Computer Science 2026-05-12 Karim Abdel Sadek , Mark Bedaywi , Rhys Gould , Stuart Russell

This paper addresses the challenges of decision-making for autonomous vehicles under faults during a transport mission. A real-time decision-making problem of vehicle routing planning considering maintenance management is formulated as an…

Systems and Control · Electrical Eng. & Systems 2022-02-10 Xin Tao , Zhao Yuan

In this paper, we study the well-known team orienteering problem where a fleet of robots collects rewards by visiting locations. Usually, the rewards are assumed to be known to the robots; however, in applications such as environmental…

Robotics · Computer Science 2021-12-16 Nils Wilde , Armin Sadeghi , Stephen L. Smith

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

Inverse optimization has been increasingly used to estimate unknown parameters in an optimization model based on decision data. We show that such a point estimation is insufficient in a prescriptive setting where the estimated parameters…

Optimization and Control · Mathematics 2025-02-11 Bo Lin , Erick Delage , Timothy C. Y. Chan

Given a set of human's decisions that are observed, inverse optimization has been developed and utilized to infer the underlying decision making problem. The majority of existing studies assumes that the decision making problem is with a…

Machine Learning · Statistics 2018-08-03 Chaosheng Dong , Bo Zeng

This work addresses data-driven inverse optimization (IO), where the goal is to estimate unknown parameters in an optimization model from observed decisions that can be assumed to be optimal or near-optimal solutions to the optimization…

Optimization and Control · Mathematics 2024-05-29 Yen-An Lu , Wei-Shou Hu , Joel A. Paulson , Qi Zhang

We consider systems that require timely monitoring of sources over a communication network, where the cost of delayed information is unknown, time-varying and possibly adversarial. For the single source monitoring problem, we design…

Networking and Internet Architecture · Computer Science 2021-05-31 Vishrant Tripathi , Eytan Modiano

We study the problem of learning the objective functions or constraints of a multiobjective decision making model, based on a set of sequentially arrived decisions. In particular, these decisions might not be exact and possibly carry…

Machine Learning · Computer Science 2022-12-27 Chaosheng Dong , Yijia Wang , Bo Zeng

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…

Optimization and Control · Mathematics 2021-12-07 Rishabh Gupta , Qi Zhang

In many applied optimization settings, parameters that define the constraints may not guarantee the best possible solution, and superior solutions might exist that are infeasible for the given parameter values. Removing such constraints,…

Optimization and Control · Mathematics 2024-07-22 Farzin Ahmadi , Todd R. McNutt , Kimia Ghobadi

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,…

Numerical Analysis · Mathematics 2024-12-19 Matthias J. Ehrhardt , Zeljko Kereta , Jingwei Liang , Junqi Tang

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…

Optimization and Control · Mathematics 2024-05-28 Zhongshi Sun , Guangyan Jia