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Quantum computing has shown the potential to substantially speed up machine learning applications, in particular for supervised and unsupervised learning. Reinforcement learning, on the other hand, has become essential for solving many…

Quantum Physics · Physics 2023-11-28 El Amine Cherrat , Iordanis Kerenidis , Anupam Prakash

We present a new accelerated gradient-based method for solving smooth unconstrained optimization problems. The goal is to embed a heavy-ball type of momentum into the Fast Gradient Method (FGM). For this purpose, we devise a generalization…

Optimization and Control · Mathematics 2021-11-02 Endrit Dosti , Sergiy A. Vorobyov , Themistoklis Charalambous

In this work, we consider the problem of a two-player zero-sum game. In the literature, the successive over-relaxation Q-learning algorithm has been developed and implemented, and it is seen to result in a lower contraction factor for the…

Machine Learning · Computer Science 2025-11-21 Saksham Gautam , Lakshmi Mandal , Shalabh Bhatnagar

Q-Learning is a fundamental off-policy reinforcement learning (RL) algorithm that has the objective of approximating action-value functions in order to learn optimal policies. Nonetheless, it has difficulties in reconciling bias with…

Machine Learning · Computer Science 2024-11-22 Mahammad Humayoo

Reinforcement learning (RL) is a classical tool to solve network control or policy optimization problems in unknown environments. The original Q-learning suffers from performance and complexity challenges across very large networks. Herein,…

Machine Learning · Computer Science 2024-09-02 Talha Bozkus , Urbashi Mitra

An interesting iterative procedure is proposed to solve a two-player zero-sum Markov games. Under suitable assumption, the boundedness of the proposed iterates is obtained theoretically. Using results from stochastic approximation, the…

Machine Learning · Computer Science 2025-09-23 Shreyas S R , Antony Vijesh

Well-established optimization-based methods can guarantee an optimal trajectory for a short optimization horizon, typically no longer than a few seconds. As a result, choosing the optimal trajectory for this short horizon may still result…

Machine Learning · Computer Science 2020-12-08 Branka Mirchevska , Maria Hügle , Gabriel Kalweit , Moritz Werling , Joschka Boedecker

Successful teaching requires an assumption of how the learner learns - how the learner uses experiences from the world to update their internal states. We investigate what expectations people have about a learner when they teach them in an…

Machine Learning · Computer Science 2023-06-30 Yun-Shiuan Chuang , Xuezhou Zhang , Yuzhe Ma , Mark K. Ho , Joseph L. Austerweil , Xiaojin Zhu

Convex quadratic programs (QPs) constitute a fundamental computational primitive across diverse domains including financial optimization, control systems, and machine learning. The alternating direction method of multipliers (ADMM) has…

Optimization and Control · Mathematics 2025-05-15 Xi Gao , Jinxin Xiong , Linxin Yang , Akang Wang , Weiwei Xu , Jiang Xue

This study evaluates the application of a discrete action space reinforcement learning method (Q-learning) to the continuous control problem of robot inverted pendulum balancing. To speed up the learning process and to overcome technical…

Robotics · Computer Science 2023-12-06 Mohammad Safeea , Pedro Neto

Stochastic dynamic teams and games are rich models for decentralized systems and challenging testing grounds for multi-agent learning. Previous work that guaranteed team optimality assumed stateless dynamics, or an explicit coordination…

Optimization and Control · Mathematics 2024-03-28 Bora Yongacoglu , Gürdal Arslan , Serdar Yüksel

Quantum Machine Learning (QML) is a young but rapidly growing field where quantum information meets machine learning. Here, we will introduce a new QML model generalizing the classical concept of Reinforcement Learning to the quantum…

Quantum Physics · Physics 2024-07-08 Nicola Dalla Pozza , Lorenzo Buffoni , Stefano Martina , Filippo Caruso

In this paper, we consider the problem of optimization and learning for constrained and multi-objective Markov decision processes, for both discounted rewards and expected average rewards. We formulate the problems as zero-sum games where…

Optimization and Control · Mathematics 2021-03-05 Ather Gattami , Qinbo Bai , Vaneet Agarwal

Hierarchical Reinforcement Learning promises, among other benefits, to efficiently capture and utilize the temporal structure of a decision-making problem and to enhance continual learning capabilities, but theoretical guarantees lag behind…

Machine Learning · Computer Science 2025-11-24 Massimiliano Manenti , Andrea Iannelli

Quantum amplitude amplification and estimation have shown quadratic speedups to unstructured search and estimation tasks. We show that a coherent combination of these quantum algorithms also provides a quadratic speedup to calculating the…

Quantum Physics · Physics 2024-12-03 Caleb Rotello

The acceleration of gradient-based optimization methods is a subject of significant practical and theoretical importance, particularly within machine learning applications. While much attention has been directed towards optimizing within…

Optimization and Control · Mathematics 2024-11-12 Shi Chen , Qin Li , Oliver Tse , Stephen J. Wright

Reinforcement learning is a popular machine learning paradigm which can find near optimal solutions to complex problems. Most often, these procedures involve function approximation using neural networks with gradient based updates to…

Neural and Evolutionary Computing · Computer Science 2020-06-05 Callum Wilson , Annalisa Riccardi , Edmondo Minisci

Asynchronous protocols have been shown to improve the scalability of federated learning (FL) with a massive number of clients. Meanwhile, momentum-based methods can achieve the best model quality in synchronous FL. However, naively applying…

Machine Learning · Computer Science 2024-12-10 Tao Yu , Congzheng Song , Jianyu Wang , Mona Chitnis

The optimistic nature of the Q-learning target leads to an overestimation bias, which is an inherent problem associated with standard $Q-$learning. Such a bias fails to account for the possibility of low returns, particularly in risky…

Machine Learning · Computer Science 2021-11-05 Thommen George Karimpanal , Hung Le , Majid Abdolshah , Santu Rana , Sunil Gupta , Truyen Tran , Svetha Venkatesh

The paper introduces the first formulation of convex Q-learning for Markov decision processes with function approximation. The algorithms and theory rest on a relaxation of a dual of Manne's celebrated linear programming characterization of…

Optimization and Control · Mathematics 2023-09-12 Fan Lu , Sean Meyn