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Related papers: Topological Foundations of Reinforcement Learning

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Reinforcement learning has recently experienced increased prominence in the machine learning community. There are many approaches to solving reinforcement learning problems with new techniques developed constantly. When solving problems…

Machine Learning · Computer Science 2020-12-14 Belinda Stapelberg , Katherine M. Malan

Reinforcement learning is now widely adopted as the final stage of large language model training, especially for reasoning-style tasks such as maths problems. Typically, models attempt each question many times during a single training step…

Machine Learning · Computer Science 2026-05-01 Thomas Foster , Anya Sims , Johannes Forkel , Mattie Fellows , Jakob Foerster

A branch of generalizations of the Banach Fixed Point Theorem replaces contractivity by a weaker but still effective property. The aim of the present note is to extend the contraction principle in this spirit for such complete semimetric…

Functional Analysis · Mathematics 2017-06-29 Mihály Bessenyei , Zsolt Páles

Reinforcement learning has proven effective for enhancing multi-step reasoning in large language models (LLMs), yet its benefits have not fully translated to multilingual contexts. Existing methods struggle with a fundamental trade-off:…

Computation and Language · Computer Science 2026-05-22 Yuchun Fan , Bei Li , Peiguang Li , Yilin Wang , Yongyu Mu , Jian Yang , Xin Chen , Rongxiang Weng , Jingang Wang , Xunliang Cai , Jingbo Zhu , Tong Xiao

The aim of this paper is to establish a strong convergence theorem for a strongly nonexpansive sequence in a Banach space. We also deal with some applications of the convergence theorem.

Functional Analysis · Mathematics 2025-09-17 Koji Aoyama , Masashi Toyoda

In this paper, we consider reinforcement learning of nonlinear systems with continuous state and action spaces. We present an episodic learning algorithm, where we for each episode use convex optimization to find a two-layer neural network…

Optimization and Control · Mathematics 2024-06-25 Ather Gattami

Tokenization is a hardcoded compression step which remains in the training pipeline of Large Language Models (LLMs), despite a general trend towards architectures becoming increasingly end-to-end. Prior work has shown promising results at…

Machine Learning · Computer Science 2026-02-17 Sam Dauncey , Roger Wattenhofer

There are two distinct approaches to solving reinforcement learning problems, namely, searching in value function space and searching in policy space. Temporal difference methods and evolutionary algorithms are well-known examples of these…

Machine Learning · Computer Science 2011-06-02 J. J. Grefenstette , D. E. Moriarty , A. C. Schultz

Policy gradient methods hold great potential for solving complex continuous control tasks. Still, their training efficiency can be improved by exploiting structure within the optimization problem. Recent work indicates that supervised…

Machine Learning · Computer Science 2024-03-19 Jan Schneider , Pierre Schumacher , Simon Guist , Le Chen , Daniel Häufle , Bernhard Schölkopf , Dieter Büchler

In the Normed space theory, the existence of fixed points is one of the main tools in improving efficiency of iterative algorithms in optimization, numerical analysis and various mathematical applications. This study introduces and…

Optimization and Control · Mathematics 2024-05-15 Akansha Tyagi , Sachin Vashistha

Reinforcement learning is a subfield of machine learning that is having a huge impact in the different conventional disciplines, including physical sciences. Here, we show how reinforcement learning methods can be applied to solve…

Much attention has been devoted recently to the development of machine learning algorithms with the goal of improving treatment policies in healthcare. Reinforcement learning (RL) is a sub-field within machine learning that is concerned…

Goal-based investing is an approach to wealth management that prioritizes achieving specific financial goals. It is naturally formulated as a sequential decision-making problem as it requires choosing the appropriate investment until a goal…

Portfolio Management · Quantitative Finance 2023-07-26 Tessa Bauman , Bruno Gašperov , Stjepan Begušić , Zvonko Kostanjčar

In this work, we investigate the application of Reinforcement Learning to two well known decision dilemmas, namely Newcomb's Problem and Prisoner's Dilemma. These problems are exemplary for dilemmas that autonomous agents are faced with…

Artificial Intelligence · Computer Science 2016-10-25 Dominik Meyer , Johannes Feldmaier , Hao Shen

Reinforcement learning research obtained significant success and attention with the utilization of deep neural networks to solve problems in high dimensional state or action spaces. While deep reinforcement learning policies are currently…

Machine Learning · Computer Science 2024-10-31 Ezgi Korkmaz

Cyber-physical systems, such as mobile robots, must respond adaptively to dynamic operating conditions. Effective operation of these systems requires that sensing and actuation tasks are performed in a timely manner. Additionally, execution…

Machine Learning · Computer Science 2012-03-19 Robert Glaubius , Terry Tidwell , Christopher Gill , William D. Smart

Reinforcement learning (RL) has emerged as a key paradigm for aligning and optimizing large language models (LLMs). Standard approaches treat the LLM as the policy and apply RL directly over the full vocabulary space. However, this…

Machine Learning · Computer Science 2026-02-17 Jing-Cheng Pang , Liang Lu , Xian Tang , Kun Jiang , Sijie Wu , Kai Zhang , Xubin Li

We investigate the applicability of deep reinforcement learning algorithms to the adaptive initial access beam alignment problem for mmWave communications using the state-of-the-art proximal policy optimization algorithm as an example. In…

Information Theory · Computer Science 2023-02-20 Daniel Tandler , Sebastian Dörner , Marc Gauger , Stephan ten Brink

The convergence of many reinforcement learning (RL) algorithms with linear function approximation has been investigated extensively but most proofs assume that these methods converge to a unique solution. In this paper, we provide a…

Machine Learning · Computer Science 2019-05-29 Marcus Hutter , Samuel Yang-Zhao , Sultan J. Majeed

Temporal point process is an expressive tool for modeling event sequences over time. In this paper, we take a reinforcement learning view whereby the observed sequences are assumed to be generated from a mixture of latent policies. The…

Machine Learning · Computer Science 2019-07-01 Weichang Wu , Junchi Yan , Xiaokang Yang , Hongyuan Zha
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