Commit 7689c0d3 by wangchenglong

update.

parent e0398fef
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\contentsline {section}{\numberline {1}Introduction}{3}{section.1}%
\contentsline {section}{\numberline {2}Preliminary}{3}{section.2}%
\contentsline {subsection}{\numberline {2.1}Fundamentals of Large Language Models}{3}{subsection.2.1}%
\contentsline {subsection}{\numberline {2.2}Fundamentals of Reinforcement Learning}{4}{subsection.2.2}%
\contentsline {subsubsection}{\numberline {2.2.1}General Framework of Reinforcement Learning}{4}{subsubsection.2.2.1}%
\contentsline {subsubsection}{\numberline {2.2.2}Key Elements}{5}{subsubsection.2.2.2}%
\contentsline {section}{\numberline {3}An Example of Using Reinforcement Learning to Train LLMs}{6}{section.3}%
\contentsline {subsection}{\numberline {3.1}Policy Gradient}{7}{subsection.3.1}%
\contentsline {subsection}{\numberline {3.2}Temporal Decomposition}{9}{subsection.3.2}%
\contentsline {subsection}{\numberline {3.3}Reducing Gradient Variance}{10}{subsection.3.3}%
\contentsline {subsection}{\numberline {3.4}Importance Sampling}{12}{subsection.3.4}%
\contentsline {subsection}{\numberline {3.5}Proximal Policy Optimization}{14}{subsection.3.5}%
\contentsline {subsection}{\numberline {3.6}Training Reward Models}{15}{subsection.3.6}%
\contentsline {subsection}{\numberline {3.7}A Complete Workflow}{18}{subsection.3.7}%
\contentsline {section}{\numberline {4}Improved Reinforcement Learning for LLMs}{20}{section.4}%
\contentsline {subsection}{\numberline {4.1}Advanced Reward Models}{20}{subsection.4.1}%
\contentsline {subsubsection}{\numberline {4.1.1}Automatic Preference Data Generation}{20}{subsubsection.4.1.1}%
\contentsline {subsubsection}{\numberline {4.1.2}Reward Shaping}{21}{subsubsection.4.1.2}%
\contentsline {subsubsection}{\numberline {4.1.3}Improved Reward Generalization}{23}{subsubsection.4.1.3}%
\contentsline {subsubsection}{\numberline {4.1.4}Generative Reward Models}{24}{subsubsection.4.1.4}%
\contentsline {subsection}{\numberline {4.2}Better Advantage Estimation}{26}{subsection.4.2}%
\contentsline {subsubsection}{\numberline {4.2.1}Temporal Difference-based Advantage Estimation}{26}{subsubsection.4.2.1}%
\contentsline {subsubsection}{\numberline {4.2.2}Generalized Advantage Estimation}{26}{subsubsection.4.2.2}%
\contentsline {subsubsection}{\numberline {4.2.3}Group Relative Policy Optimization}{27}{subsubsection.4.2.3}%
\contentsline {subsection}{\numberline {4.3}Efficient RL Methods}{29}{subsection.4.3}%
\contentsline {subsubsection}{\numberline {4.3.1}Dynamic Sampling}{29}{subsubsection.4.3.1}%
\contentsline {subsubsection}{\numberline {4.3.2}Lightweight Reward Methods}{30}{subsubsection.4.3.2}%
\contentsline {subsection}{\numberline {4.4}Direct Preference Optimization}{32}{subsection.4.4}%
\contentsline {section}{\numberline {5}Reinforcement Learning for LLM Reasoning}{34}{section.5}%
\contentsline {subsection}{\numberline {5.1}Test-time Scaling}{35}{subsection.5.1}%
\contentsline {subsubsection}{\numberline {5.1.1}Best-of-N Sampling}{35}{subsubsection.5.1.1}%
\contentsline {subsubsection}{\numberline {5.1.2}Step-by-step Verification}{37}{subsubsection.5.1.2}%
\contentsline {subsubsection}{\numberline {5.1.3}Monte Carlo Tree Search}{38}{subsubsection.5.1.3}%
\contentsline {subsection}{\numberline {5.2}Large-scale Reinforcement Learning}{40}{subsection.5.2}%
\contentsline {subsection}{\numberline {5.3}Iterative Reinforcement Learning}{41}{subsection.5.3}%
\contentsline {section}{\numberline {6}Reinforcement Learning for LLM-based Agents}{43}{section.6}%
\contentsline {section}{\numberline {7}Reinforcement Learning for Multimodal Models}{43}{section.7}%
\contentsline {subsection}{\numberline {7.1}Visual Language Models}{43}{subsection.7.1}%
\contentsline {subsection}{\numberline {7.2}Speech Generation Models}{45}{subsection.7.2}%
\contentsline {subsection}{\numberline {7.3}Diffusion Models}{45}{subsection.7.3}%
\contentsline {section}{\numberline {8}Summary}{45}{section.8}%
\contentsline {section}{\numberline {9}Systems and Datasets}{46}{section.9}%
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