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The linear programming (LP) approach has a long history in the theory of approximate dynamic programming. When it comes to computation, however, the LP approach often suffers from poor scalability. In this work, we introduce a relaxed…

系统与控制 · 电气工程与系统科学 2020-12-01 Andrea Martinelli , Matilde Gargiani , John Lygeros

We investigate the probability density of rescaled sums of iterates of deterministic dynamical systems, a problem relevant for many complex physical systems consisting of dependent random variables. A Central Limit Theorem (CLT) is only…

统计力学 · 物理学 2007-05-23 Ugur Tirnakli , Christian Beck , Constantino Tsallis

We consider controllable linear discrete-time systems with bounded perturbations and present two methods to compute robust controlled invariant sets. The first method tolerates an arbitrarily small constraint violation to compute an…

最优化与控制 · 数学 2018-01-03 Matthias Rungger , Paulo Tabuada

We study the theoretical limits of the $\ell_0$ (quasi) norm based optimization algorithms when employed for solving classical compressed sensing or sparse regression problems. Considering standard contexts with deterministic signals and…

机器学习 · 统计学 2024-10-11 Mihailo Stojnic

Mixture model-based clustering, usually applied to multidimensional data, has become a popular approach in many data analysis problems, both for its good statistical properties and for the simplicity of implementation of the…

统计方法学 · 统计学 2013-12-30 Allou Samé , Faicel Chamroukhi , Gérard Govaert , Patrice Aknin

This work introduces a stochastic model predictive control scheme for dynamic chance constraints. We consider linear discrete-time systems affected by unbounded additive stochastic disturbance. To synthesize an optimal controller, we solve…

系统与控制 · 电气工程与系统科学 2023-07-26 Maico Hendrikus Wilhelmus Engelaar , Sofie Haesaert , Mircea Lazar

Reinforcement learning is widely used in applications where one needs to perform sequential decisions while interacting with the environment. The problem becomes more challenging when the decision requirement includes satisfying some safety…

机器学习 · 计算机科学 2022-07-15 Qinbo Bai , Amrit Singh Bedi , Mridul Agarwal , Alec Koppel , Vaneet Aggarwal

The safe application of reinforcement learning (RL) requires generalization from limited training data to unseen scenarios. Yet, fulfilling tasks under changing circumstances is a key challenge in RL. Current state-of-the-art approaches for…

This paper addresses the problem of coordination of a fleet of mobile robots - the problem of finding an optimal set of collision-free trajectories for individual robots in the fleet. Many approaches have been introduced during the last…

机器人学 · 计算机科学 2019-01-23 Jakub Hvězda , Miroslav Kulich , Libor Přeučil

We address the design of a model predictive control (MPC) scheme for large-scale linear systems using reduced-order models (ROMs). Our approach uses a ROM, leverages tools from robust control, and integrates them into an MPC framework to…

系统与控制 · 电气工程与系统科学 2026-03-24 Johannes Köhler , Carlo Scholz , Melanie Zeilinger

Many applications -- including power systems, robotics, and economics -- involve a dynamical system interacting with a stochastic and hard-to-model environment. We adopt a reinforcement learning approach to control such systems.…

最优化与控制 · 数学 2025-08-26 Abed AlRahman Al Makdah , Oliver Kosut , Lalitha Sankar , Shaofeng Zou

Modern high-dimensional methods often adopt the "bet on sparsity" principle, while in supervised multivariate learning statisticians may face "dense" problems with a large number of nonzero coefficients. This paper proposes a novel…

机器学习 · 统计学 2022-02-10 Yiyuan She , Jiahui Shen , Chao Zhang

We show that under mild assumptions for a problem whose solutions admit a dynamic programming-like recurrence relation, we can still find a solution under additional packing constraints, which need to be satisfied approximately. The number…

数据结构与算法 · 计算机科学 2025-11-06 Etienne Bamas , Shi Li , Lars Rohwedder

Reinforcement Learning (RL) enhances LLM reasoning, yet a paradox emerges as models scale: strong base models saturate standard benchmarks (e.g., MATH), yielding correct but homogeneous solutions. In such environments, the lack of failure…

机器学习 · 计算机科学 2026-04-21 Zhenwen Liang , Yujun Zhou , Sidi Lu , Xiangliang Zhang , Haitao Mi , Dong Yu

We present a novel rationale-centric framework with human-in-the-loop -- Rationales-centric Double-robustness Learning (RDL) -- to boost model out-of-distribution performance in few-shot learning scenarios. By using static semi-factual…

人工智能 · 计算机科学 2022-03-25 Jinghui Lu , Linyi Yang , Brian Mac Namee , Yue Zhang

Controlling mixed platoons, which consist of both connected and automated vehicles (CAVs) and human-driven vehicles (HDVs), poses significant challenges due to the uncertain and unknown human driving behaviors. Data-driven control methods…

系统与控制 · 电气工程与系统科学 2025-11-14 Shuai Li , Chaoyi Chen , Haotian Zheng , Jiawei Wang , Qing Xu , Jianqiang Wang , Keqiang Li

This paper introduces a Deep Reinforcement Learning (DRL) based TCP congestion-control algorithm that uses a Deep Q-Network (DQN) to adapt the congestion window (cWnd) dynamically based on observed network state. The proposed approach…

网络与互联网体系结构 · 计算机科学 2026-01-21 Efe Ağlamazlar , Emirhan Eken , Harun Batur Geçici

This paper considers the distributed sampled-data control problem of a group of mobile robots connected via distance-induced proximity networks. A dwell time is assumed in order to avoid chattering in the neighbor relations that may be…

系统与控制 · 计算机科学 2017-01-20 Zhixin Liu , Lin Wang , Jinhuan Wang , Daoyi Dong , Xiaoming Hu

Contextual multi-armed bandit (MAB) is an important sequential decision-making problem in recommendation systems. A line of works, called the clustering of bandits (CLUB), utilize the collaborative effect over users and dramatically improve…

机器学习 · 计算机科学 2022-09-01 Xutong Liu , Haoru Zhao , Tong Yu , Shuai Li , John C. S. Lui

This work presents the first application of the state-of-the-art Koenig-D'Amico reachable set theory solver to cislunar, chaotic relative motion in the Circular-Restricted Three-Body Problem (CR3BP). The relative motion dynamics of two…

最优化与控制 · 数学 2025-07-30 Matthew Hunter , Walter J. Manuel , Simone D'Amico
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