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This paper presents a state and state-input constrained variant of the discrete-time iterative Linear Quadratic Regulator (iLQR) algorithm, with linear time-complexity in the number of time steps. The approach is based on a projection of…

Robotics · Computer Science 2018-05-25 Markus Giftthaler , Jonas Buchli

This paper is devoted to the controllability analysis of a class of linear control systems in a Hilbert space. It is proposed to use the minimum energy controls of a reduced lumped parameter system for solving the infinite dimensional…

Optimization and Control · Mathematics 2018-03-02 Alexander Zuyev

We consider the problem of constructing a least conservative estimator of the expected value $\mu$ of a non-negative heavy-tailed random variable. We require that the probability of overestimating the expected value $\mu$ is kept…

Optimization and Control · Mathematics 2026-04-21 Bart P. G. van Parys , Bert Zwart

This paper is concerned with a constrained stochastic linear-quadratic optimal control problem, in which the terminal state is fixed and the initial state is constrained to lie in a stochastic linear manifold. The controllability of…

Optimization and Control · Mathematics 2019-06-11 Xiuchun Bi , Jingrui Sun , Jie Xiong

This paper addresses the problem of robust and optimal control for the class of nonlinear quadratic systems subject to norm-bounded parametric uncertainties and disturbances, and in presence of some amplitude constraints on the control…

Systems and Control · Computer Science 2017-01-12 Merola Alessio , Cosentino Carlo , Colacino Domenico , Amato Francesco

The quantum speed limit sets the minimum time required to transfer a quantum system completely into a given target state. At shorter times the higher operation speed has to be paid with a loss of fidelity. Here we quantify the trade-off…

Quantum Physics · Physics 2015-12-08 Miroslav Gajdacz , Kunal K. Das , Jan Arlt , Jacob F. Sherson , Tomáš Opatrný

We study the performance of the certainty equivalent controller on Linear Quadratic (LQ) control problems with unknown transition dynamics. We show that for both the fully and partially observed settings, the sub-optimality gap between the…

Optimization and Control · Mathematics 2019-06-25 Horia Mania , Stephen Tu , Benjamin Recht

Modelling bounded rational decision-making through information constrained processing provides a principled approach for representing departures from rationality within a reinforcement learning framework, while still treating…

Machine Learning · Computer Science 2025-06-02 Benjamin Patrick Evans , Leo Ardon , Sumitra Ganesh

In this work, we address the output--feedback control problem for nonlinear systems under bounded disturbances using a moving horizon approach. The controller is posed as an optimization-based problem that simultaneously estimates the state…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Nestor N. Deniz , Guido Sanchez , Marina H. Murillo , Leonardo L. Giovanini

This paper presents a novel two-level control architecture for a fully autonomous vehicle in a deterministic environment, which can handle traffic rules as specifications and low-level vehicle control with real-time performance. At the top…

Robotics · Computer Science 2021-05-07 Erfan Aasi , Cristian Ioan Vasile , Calin Belta

Autonomous control systems use various sensors to decrease the amount of uncertainty under which they operate. While providing partial observation of the current state of the system, sensors require resources such as energy, time and…

Logic in Computer Science · Computer Science 2016-02-29 Eva Tesarova , Maria Svorenova , Jiri Barnat , Ivana Cerna

This paper studies the linear quadratic regulation (LQR) problem of unknown discrete-time systems via dynamic output feedback learning control. In contrast to the state feedback, the optimality of the dynamic output feedback control for…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Kedi Xie , Martin Guay , Shimin Wang , Fang Deng , Maobin Lu

Discriminator Guidance has become a popular method for efficiently refining pre-trained Score-Matching Diffusion models. However, in this paper, we demonstrate that the standard implementation of this technique does not necessarily lead to…

Machine Learning · Computer Science 2025-06-12 Alexandre Verine , Ahmed Mehdi Inane , Florian Le Bronnec , Benjamin Negrevergne , Yann Chevaleyre

In Simulation-based Inference, the goal is to solve the inverse problem when the likelihood is only known implicitly. Neural Posterior Estimation commonly fits a normalized density estimator as a surrogate model for the posterior. This…

Machine Learning · Statistics 2023-10-04 Benjamin Kurt Miller , Marco Federici , Christoph Weniger , Patrick Forré

In this paper, we delve deeper into the Kullback-Leibler (KL) Divergence loss and mathematically prove that it is equivalent to the Decoupled Kullback-Leibler (DKL) Divergence loss that consists of 1) a weighted Mean Square Error (wMSE)…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Jiequan Cui , Zhuotao Tian , Zhisheng Zhong , Xiaojuan Qi , Bei Yu , Hanwang Zhang

In this paper, we investigate an optimal control problem with terminal stochastic linear complementarity constraints (SLCC), and its discrete approximation using the relaxation, the sample average approximation (SAA) and the implicit Euler…

Optimization and Control · Mathematics 2022-08-17 Jianfeng Luo , Xiaojun Chen

This paper considers an online (real-time) control problem that involves an agent performing a discrete-time random walk over a finite state space. The agent's action at each time step is to specify the probability distribution for the next…

Optimization and Control · Mathematics 2014-01-15 Peng Guan , Maxim Raginsky , Rebecca Willett

We address the problem of output prediction, ie. designing a model for autonomous nonlinear systems capable of forecasting their future observations. We first define a general framework bringing together the necessary properties for the…

Machine Learning · Computer Science 2022-06-30 Steeven Janny , Vincent Andrieu , Madiha Nadri , Christian Wolf

The paper describes a continuous second-variation algorithm to solve optimal control problems where the control is defined on a closed set. A second order expansion of a Lagrangian provides linear updates of the control to construct a…

Optimization and Control · Mathematics 2011-09-27 Joris T. Olympio

This manuscript introduces the idea of using Distributionally Robust Optimization (DRO) for the Counterfactual Risk Minimization (CRM) problem. Tapping into a rich existing literature, we show that DRO is a principled tool for…

Machine Learning · Statistics 2019-12-17 Louis Faury , Ugo Tanielian , Flavian Vasile , Elena Smirnova , Elvis Dohmatob
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