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The goal of inverse reinforcement learning (IRL) is to infer a reward function that explains the behavior of an agent performing a task. The assumption that most approaches make is that the demonstrated behavior is near-optimal. In many…

Machine Learning · Computer Science 2020-11-20 Luis Haug , Ivan Ovinnikov , Eugene Bykovets

Trajectory optimization is a fundamental stochastic optimal control problem. This paper deals with a trajectory optimization approach for dynamical systems subject to measurement noise that can be fitted into linear time-varying stochastic…

Systems and Control · Electrical Eng. & Systems 2021-08-24 Prakash Mallick , Zhiyong Chen

Real-time computation of optimal control is a challenging problem and, to solve this difficulty, many frameworks proposed to use learning techniques to learn (possibly sub-optimal) controllers and enable their usage in an online fashion.…

This paper studies the inverse optimal control problem for continuous-time linear quadratic regulators over finite-time horizon, aiming to reconstruct the control, state, and terminal cost matrices in the objective function from observed…

Optimization and Control · Mathematics 2025-10-07 Yuexin Cao , Yibei Li , Zhuo Zou , Xiaoming Hu

In this paper we propose a general algorithmic framework for first-order methods in optimization in a broad sense, including minimization problems, saddle-point problems and variational inequalities. This framework allows to obtain many…

We study unconstrained optimization problems with nonsmooth and convex objective function in the form of a mathematical expectation. The proposed method approximates the expected objective function with a sample average function using…

Optimization and Control · Mathematics 2022-11-03 Natasa Krejic , Natasa Krklec Jerinkic , Tijana Ostojic

In this chapter, we are concerned with inverse optimal control problems, i.e., optimization models which are used to identify parameters in optimal control problems from given measurements. Here, we focus on linear-quadratic optimal control…

Optimization and Control · Mathematics 2023-11-27 Stephan Dempe , Markus Friedemann , Felix Harder , Patrick Mehlitz , Gerd Wachsmuth

This paper is about iteratively reweighted basis-pursuit algorithms for compressed sensing and matrix completion problems. In a first part, we give a theoretical explanation of the fact that reweighted basis pursuit can improve a lot upon…

Information Theory · Computer Science 2011-07-11 Stéphane Gaïffas , Guillaume Lecué

We study the nonlinear observability of a systems states in view of how well they are observable and what control inputs would improve the convergence of their estimates. We use these insights to develop an observability-aware…

Robotics · Computer Science 2016-04-28 Karol Hausman , James Preiss , Gaurav Sukhatme , Stephan Weiss

Optimal control (OC) using inverse dynamics provides numerical benefits such as coarse optimization, cheaper computation of derivatives, and a high convergence rate. However, to take advantage of these benefits in model predictive control…

Robotics · Computer Science 2023-03-24 Carlos Mastalli , Saroj Prasad Chhatoi , Thomas Corbères , Steve Tonneau , Sethu Vijayakumar

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

This paper studies the problem of steering a linear time-invariant system subject to state and input constraints towards a goal location that may be inferred only through partial observations. We assume mixed-observable settings, where the…

Optimization and Control · Mathematics 2022-11-22 Ugo Rosolia , Yuxiao Chen , Shreyansh Daftry , Masahiro Ono , Yisong Yue , Aaron D. Ames

We study the problem of directly optimizing arbitrary non-differentiable task evaluation metrics such as misclassification rate and recall. Our method, named MetricOpt, operates in a black-box setting where the computational details of the…

Machine Learning · Computer Science 2021-04-22 Chen Huang , Shuangfei Zhai , Pengsheng Guo , Josh Susskind

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

We present one of the first algorithms on model based reinforcement learning and trajectory optimization with free final time horizon. Grounded on the optimal control theory and Dynamic Programming, we derive a set of backward differential…

Systems and Control · Computer Science 2015-09-04 Wei Sun , Evangelos Theodorou , Panagiotis Tsiotras

The contribution of this paper is a generalized formulation of correctional learning using optimal transport, which is about how to optimally transport one mass distribution to another. Correctional learning is a framework developed to…

Machine Learning · Computer Science 2023-04-05 Rebecka Winqvist , Inês Lourenco , Francesco Quinzan , Cristian R. Rojas , Bo Wahlberg

This thesis investigates optimal trajectory tracking of nonlinear dynamical systems with affine controls. The control task is to enforce the system state to follow a prescribed desired trajectory as closely as possible. The concept of…

Optimization and Control · Mathematics 2016-03-04 Jakob Löber

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

Consider a target being tracked by a cognitive radar network. If the target can intercept some radar network emissions, how can it detect coordination among the radars? By 'coordination' we mean that the radar emissions satisfy Pareto…

Signal Processing · Electrical Eng. & Systems 2022-11-15 Luke Snow , Vikram Krishnamurthy , Brian M. Sadler

Robotic systems often operate with uncertainties in their dynamics, for example, unknown inertial properties. Broadly, there are two approaches for controlling uncertain systems: design robust controllers in spite of uncertainty, or…

Robotics · Computer Science 2019-06-10 Keenan Albee , Monica Ekal , Rodrigo Ventura , Richard Linares