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Two-time-scale optimization is a framework introduced in Zeng et al. (2024) that abstracts a range of policy evaluation and policy optimization problems in reinforcement learning (RL). Akin to bi-level optimization under a particular type…

最优化与控制 · 数学 2026-01-21 Sihan Zeng , Thinh T. Doan

In this paper, we consider reinforcement learning of Markov Decision Processes (MDP) with peak constraints, where an agent chooses a policy to optimize an objective and at the same time satisfy additional constraints. The agent has to take…

最优化与控制 · 数学 2019-12-09 Ather Gattami

In many robotic applications, some aspects of the system dynamics can be modeled accurately while others are difficult to obtain or model. We present a novel reinforcement learning (RL) method for continuous state and action spaces that…

人工智能 · 计算机科学 2017-06-06 Tomoki Nishi , Prashant Doshi , Michael R. James , Danil Prokhorov

In multi-robot systems, achieving coordinated missions remains a significant challenge due to the coupled nature of coordination behaviors and the lack of global information for individual robots. To mitigate these challenges, this paper…

机器人学 · 计算机科学 2024-08-22 Zechen Hu , Daigo Shishika , Xuesu Xiao , Xuan Wang

This paper investigates simple bilevel optimization problems where we minimize an upper-level objective over the optimal solution set of a convex lower-level objective. Existing methods for such problems either only guarantee asymptotic…

最优化与控制 · 数学 2024-11-05 Pengyu Chen , Xu Shi , Rujun Jiang , Jiulin Wang

Being able to seamlessly generalize across different tasks is fundamental for robots to act in our world. However, learning representations that generalize quickly to new scenarios is still an open research problem in reinforcement…

机器学习 · 计算机科学 2022-04-06 Sarah Bechtle , Ludovic Righetti , Franziska Meier

In this work, we consider policy-based methods for solving the reinforcement learning problem, and establish the sample complexity guarantees. A policy-based algorithm typically consists of an actor and a critic. We consider using various…

机器学习 · 计算机科学 2023-01-16 Zaiwei Chen , Siva Theja Maguluri

This research focuses on enhancing reinforcement learning (RL) algorithms by integrating penalty functions to guide agents in avoiding unwanted actions while optimizing rewards. The goal is to improve the learning process by ensuring that…

机器学习 · 计算机科学 2025-04-07 Sai Gana Sandeep Pula , Sathish A. P. Kumar , Sumit Jha , Arvind Ramanathan

Motivated by applications in risk-sensitive reinforcement learning, we study mean-variance optimization in a discounted reward Markov Decision Process (MDP). Specifically, we analyze a Temporal Difference (TD) learning algorithm with linear…

机器学习 · 计算机科学 2025-03-13 Tejaram Sangadi , L. A. Prashanth , Krishna Jagannathan

Hierarchies of temporally decoupled policies present a promising approach for enabling structured exploration in complex long-term planning problems. To fully achieve this approach an end-to-end training paradigm is needed. However,…

To overcome the curses of dimensionality and modeling of Dynamic Programming (DP) methods to solve Markov Decision Process (MDP) problems, Reinforcement Learning (RL) methods are adopted in practice. Contrary to traditional RL algorithms…

机器学习 · 计算机科学 2021-08-24 Arghyadip Roy , Vivek Borkar , Abhay Karandikar , Prasanna Chaporkar

The actor-critic RL is widely used in various robotic control tasks. By viewing the actor-critic RL from the perspective of variational inference (VI), the policy network is trained to obtain the approximate posterior of actions given the…

机器学习 · 计算机科学 2022-01-04 Duo Xu , Faramarz Fekri

An ongoing challenge in neural information processing is: how do neurons adjust their connectivity to improve task performance over time (i.e., actualize learning)? It is widely believed that there is a consistent, synaptic-level learning…

神经与进化计算 · 计算机科学 2021-06-01 Aman Bhargava , Mohammad R. Rezaei , Milad Lankarany

The goal of offline reinforcement learning (RL) is to find an optimal policy given prerecorded trajectories. Many current approaches customize existing off-policy RL algorithms, especially actor-critic algorithms in which policy evaluation…

机器学习 · 计算机科学 2021-10-07 Wonjoon Goo , Scott Niekum

This paper presents a new approach and algorithm for solving a class of constrained Bi-Level Optimization (BLO) problems in which the lower-level problem involves constraints coupling both upper-level and lower-level variables. Such…

机器学习 · 计算机科学 2024-01-30 Wei Yao , Chengming Yu , Shangzhi Zeng , Jin Zhang

Actor-critic algorithms have become a cornerstone in reinforcement learning (RL), leveraging the strengths of both policy-based and value-based methods. Despite recent progress in understanding their statistical efficiency, no existing work…

机器学习 · 统计学 2025-05-07 Kevin Tan , Wei Fan , Yuting Wei

We study a class of bilevel optimization problems in which both the upper- and lower-level problems have minimax structures. This setting captures a broad range of emerging applications. Despite the extensive literature on bilevel…

最优化与控制 · 数学 2026-05-11 Yiyang Shen , Yutian He , Weiran Wang , Qihang Lin

Hierarchical Reinforcement Learning (HRL) approaches have shown successful results in solving a large variety of complex, structured, long-horizon problems. Nevertheless, a full theoretical understanding of this empirical evidence is…

机器学习 · 计算机科学 2025-02-05 Gianluca Drappo , Alberto Maria Metelli , Marcello Restelli

Since the objective functions of reinforcement learning problems are typically highly nonconvex, it is desirable that policy gradient, the most popular algorithm, escapes saddle points and arrives at second-order stationary points. Existing…

机器学习 · 计算机科学 2024-05-15 Siqiao Mu , Diego Klabjan

Bilevel optimization is widely applied in many machine learning tasks such as hyper-parameter learning, meta learning and reinforcement learning. Although many algorithms recently have been developed to solve the bilevel optimization…

最优化与控制 · 数学 2024-07-26 Feihu Huang