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We develop a continuous-time reinforcement learning framework for a class of singular stochastic control problems without entropy regularization. The optimal singular control is characterized as the optimal singular control law, which is a…

Optimization and Control · Mathematics 2026-05-14 Zongxia Liang , Xiaodong Luo , Xiang Yu

We study the problem of policy repair for learning-based control policies in safety-critical settings. We consider an architecture where a high-performance learning-based control policy (e.g. one trained as a neural network) is paired with…

Artificial Intelligence · Computer Science 2020-08-19 Weichao Zhou , Ruihan Gao , BaekGyu Kim , Eunsuk Kang , Wenchao Li

When applying imitation learning techniques to fit a policy from expert demonstrations, one can take advantage of prior stability/robustness assumptions on the expert's policy and incorporate such control-theoretic prior knowledge…

Optimization and Control · Mathematics 2021-03-25 Aaron Havens , Bin Hu

In this paper, we solve the problem of finding a certified control policy that drives a robot from any given initial state and under any bounded disturbance to the desired reference trajectory, with guarantees on the convergence or bounds…

Robotics · Computer Science 2020-11-26 Dawei Sun , Susmit Jha , Chuchu Fan

We study the problem of joint optimization involving coding and control policies for a controlled Markovian sytem over a finite-rate noiseless communication channel. While structural results on the optimal encoding and control have been…

Optimization and Control · Mathematics 2026-03-18 Evelyn Hubbard , Liam Cregg , Serdar Yüksel

Stochastic policies (also known as relaxed controls) are widely used in continuous-time reinforcement learning algorithms. However, executing a stochastic policy and evaluating its performance in a continuous-time environment remain open…

Machine Learning · Computer Science 2025-10-03 Yanwei Jia , Du Ouyang , Yufei Zhang

Approaches to keeping a dynamical system within state constraints typically rely on a model-based safety condition to limit the control signals. In the face of significant modeling uncertainty, the system can suffer from important…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Marc-Antoine Beaudoin , Benoit Boulet

In this paper, we revisit the problem of learning a stabilizing controller from a finite number of demonstrations by an expert. By first focusing on feedback linearizable systems, we show how to combine expert demonstrations into a…

Systems and Control · Electrical Eng. & Systems 2022-03-21 Alimzhan Sultangazin , Luigi Pannocchi , Lucas Fraile , Paulo Tabuada

Deep neural networks are known to be fragile to small adversarial perturbations. This issue becomes more critical when a neural network is interconnected with a physical system in a closed loop. In this paper, we show how to combine recent…

Machine Learning · Computer Science 2019-08-20 Yuh-Shyang Wang , Tsui-Wei Weng , Luca Daniel

Decision-focused learning integrates predictive modeling and combinatorial optimization by training models to directly improve decision quality rather than prediction accuracy alone. Differentiating through combinatorial optimization…

Machine Learning · Computer Science 2026-01-30 Victor Spitzer , Francois Sanson

The goal of this paper is to present a method for simultaneous trajectory and local stabilizing policy optimization to generate local policies for trajectory-centric model-based reinforcement learning (MBRL). This is motivated by the fact…

This paper addresses risk awareness of stochastic optimization problems. Nested risk measures appear naturally in this context, as they allow beneficial reformulations for algorithmic treatments. The reformulations presented extend usual…

Optimization and Control · Mathematics 2018-02-14 Alois Pichler , Ruben Schlotter

This paper introduces a new method for safety-aware robot learning, focusing on repairing policies using predictive models. Our method combines behavioral cloning with neural network repair in a two-step supervised learning framework. It…

Robotics · Computer Science 2024-11-08 Keyvan Majd , Geoffrey Clark , Georgios Fainekos , Heni Ben Amor

Methods to certify the robustness of neural networks in the presence of input uncertainty are vital in safety-critical settings. Most certification methods in the literature are designed for adversarial or worst-case inputs, but researchers…

Machine Learning · Computer Science 2023-01-26 Brendon G. Anderson , Somayeh Sojoudi

We consider the challenge of finding a deterministic policy for a Markov decision process that uniformly (in all states) maximizes one reward subject to a probabilistic constraint over a different reward. Existing solutions do not fully…

Machine Learning · Computer Science 2022-01-21 Jaeyoung Lee , Sean Sedwards , Krzysztof Czarnecki

In many real-world applications, safety constraints for reinforcement learning (RL) algorithms are either unknown or not explicitly defined. We propose a framework that concurrently learns safety constraints and optimal RL policies in such…

Systems and Control · Electrical Eng. & Systems 2023-05-02 Lunet Yifru , Ali Baheri

We propose a policy search approach to learn controllers from specifications given as Signal Temporal Logic (STL) formulae. The system model, which is unknown but assumed to be an affine control system, is learned together with the control…

Systems and Control · Electrical Eng. & Systems 2023-03-07 Wenliang Liu , Mirai Nishioka , Calin Belta

Learning-enabled control systems have demonstrated impressive empirical performance on challenging control problems in robotics, but this performance comes at the cost of reduced transparency and lack of guarantees on the safety or…

Robotics · Computer Science 2022-12-21 Charles Dawson , Sicun Gao , Chuchu Fan

Firms increasingly delegate decisions to learning algorithms in platform markets. Standard algorithms perform well when platform policies are stationary, but firms often face ambiguity about whether policies are stationary or adapt…

Theoretical Economics · Economics 2026-02-11 Kyohei Okumura

This paper investigates the problem of designing control policies that satisfy high-level specifications described by signal temporal logic (STL) in unknown, stochastic environments. While many existing works concentrate on optimizing the…

Systems and Control · Electrical Eng. & Systems 2024-12-16 Siqi Wang , Shaoyuan Li , Li Yin , Xiang Yin