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In this paper we present an enhancement of the regression-based variance reduction approaches recently proposed in Belomestny et al. This enhancement is based on a truncation of the control variate and allows for a significant reduction of…

概率论 · 数学 2017-11-10 Denis Belomestny , Stefan Häfner , Mikhail Urusov

Model-free Reinforcement Learning (RL) generally suffers from poor sample complexity, mostly due to the need to exhaustively explore the state-action space to find well-performing policies. On the other hand, we postulate that expert…

机器学习 · 计算机科学 2023-09-13 Loris Di Natale , Bratislav Svetozarevic , Philipp Heer , Colin N. Jones

Quadratic programming is a workhorse of modern nonlinear optimization, control, and data science. Although regularized methods offer convergence guarantees under minimal assumptions on the problem data, they can exhibit the slow…

最优化与控制 · 数学 2026-05-18 Jeremy Bertoncini , Alberto De Marchi , Matthias Gerdts , Simon Gottschalk

The linear quadratic regulator (LQR) problem has reemerged as an important theoretical benchmark for reinforcement learning-based control of complex dynamical systems with continuous state and action spaces. In contrast with nearly all…

机器学习 · 计算机科学 2020-05-04 Benjamin Gravell , Peyman Mohajerin Esfahani , Tyler Summers

Covariance estimation for matrix-valued data has received an increasing interest in applications. Unlike previous works that rely heavily on matrix normal distribution assumption and the requirement of fixed matrix size, we propose a class…

统计方法学 · 统计学 2022-04-20 Yichi Zhang , Weining Shen , Dehan Kong

Reinforcement learning (RL), known for its self-evolution capability, offers a promising approach to training high-level autonomous driving systems. However, handling constraints remains a significant challenge for existing RL algorithms,…

机器人学 · 计算机科学 2025-05-21 Feihong Zhang , Guojian Zhan , Bin Shuai , Tianyi Zhang , Jingliang Duan , Shengbo Eben Li

Reinforcement learning is a model-free optimal control method that optimizes a control policy through direct interaction with the environment. For reaching tasks that end in regulation, popular discrete-action methods are not well suited…

机器人学 · 计算机科学 2021-06-23 Wouter Caarls

Model-free approaches for reinforcement learning (RL) and continuous control find policies based only on past states and rewards, without fitting a model of the system dynamics. They are appealing as they are general purpose and easy to…

机器学习 · 计算机科学 2018-10-09 Yasin Abbasi-Yadkori , Nevena Lazic , Csaba Szepesvari

The restricted strong convexity is an effective tool for deriving globally linear convergence rates of descent methods in convex minimization. Recently, the global error bound and quadratic growth properties appeared as new competitors. In…

最优化与控制 · 数学 2016-06-21 Hui Zhang

This paper studies a distributed policy gradient in collaborative multi-agent reinforcement learning (MARL), where agents over a communication network aim to find the optimal policy to maximize the average of all agents' local returns. Due…

多智能体系统 · 计算机科学 2022-12-06 Xiaoxiao Zhao , Jinlong Lei , Li Li , Jie Chen

Gradient-based methods for optimisation of objectives in stochastic settings with unknown or intractable dynamics require estimators of derivatives. We derive an objective that, under automatic differentiation, produces low-variance…

机器学习 · 计算机科学 2019-09-25 Gregory Farquhar , Shimon Whiteson , Jakob Foerster

Benchmarks play a crucial role in the development and analysis of reinforcement learning (RL) algorithms. We identify that existing benchmarks used for research into open-ended learning fall into one of two categories. Either they are too…

Gradient estimation is often necessary for fitting generative models with discrete latent variables, in contexts such as reinforcement learning and variational autoencoder (VAE) training. The DisARM estimator (Yin et al. 2020; Dong, Mnih,…

机器学习 · 计算机科学 2022-08-15 Russell Z. Kunes , Mingzhang Yin , Max Land , Doron Haviv , Dana Pe'er , Simon Tavaré

We study finite-time horizon continuous-time linear-convex reinforcement learning problems in an episodic setting. In this problem, the unknown linear jump-diffusion process is controlled subject to nonsmooth convex costs. We show that the…

最优化与控制 · 数学 2022-03-03 Xin Guo , Anran Hu , Yufei Zhang

While standard reinforcement learning optimizes a single reward signal, many applications require optimizing a nonlinear utility $f(J_1^\pi,\dots,J_M^\pi)$ over multiple objectives, where each $J_m^\pi$ denotes the expected discounted…

机器学习 · 计算机科学 2026-03-10 Swetha Ganesh , Vaneet Aggarwal

We develop a probabilistic framework for analysing model-based reinforcement learning in the episodic setting. We then apply it to study finite-time horizon stochastic control problems with linear dynamics but unknown coefficients and…

机器学习 · 计算机科学 2021-12-22 Lukasz Szpruch , Tanut Treetanthiploet , Yufei Zhang

Constrained Reinforcement Learning (RL) has emerged as a significant research area within RL, where integrating constraints with rewards is crucial for enhancing safety and performance across diverse control tasks. In the context of heating…

机器学习 · 计算机科学 2024-10-01 Baohe Zhang , Lilli Frison , Thomas Brox , Joschka Bödecker

This paper proposes a safety modulator actor-critic (SMAC) method to address safety constraint and overestimation mitigation in model-free safe reinforcement learning (RL). A safety modulator is developed to satisfy safety constraints by…

人工智能 · 计算机科学 2024-10-10 Qihan Qi , Xinsong Yang , Gang Xia , Daniel W. C. Ho , Pengyang Tang

First-order methods for stochastic optimization have undeniable relevance, in part due to their pivotal role in machine learning. Variance reduction for these algorithms has become an important research topic. In contrast to common…

机器学习 · 计算机科学 2021-09-08 Manuel Madeira , Renato Negrinho , João Xavier , Pedro M. Q. Aguiar

In this paper we propose a variant of the random coordinate descent method for solving linearly constrained convex optimization problems with composite objective functions. If the smooth part of the objective function has Lipschitz…

最优化与控制 · 数学 2013-02-14 Ion Necoara , Andrei Patrascu
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