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Large language models are increasingly trained via reinforcement learning for personalized recommendation tasks, but standard methods like GRPO rely on sparse, sequence-level rewards. These obscure which tokens actually contribute to…

Artificial Intelligence · Computer Science 2026-05-08 Abhijnan Nath , Alireza Bagheri Garakani , Tianchen Zhou , Fan Yang , Yan Gao , Nikhil Krishnaswamy

We present a predictor-corrector framework, called PicCoLO, that can transform a first-order model-free reinforcement or imitation learning algorithm into a new hybrid method that leverages predictive models to accelerate policy learning.…

Machine Learning · Computer Science 2019-05-28 Ching-An Cheng , Xinyan Yan , Nathan Ratliff , Byron Boots

Hierarchical reinforcement learning is a promising approach to tackle long-horizon decision-making problems with sparse rewards. Unfortunately, most methods still decouple the lower-level skill acquisition process and the training of a…

Machine Learning · Computer Science 2020-05-15 Alexander C. Li , Carlos Florensa , Ignasi Clavera , Pieter Abbeel

PPO (Proximal Policy Optimization) is a state-of-the-art policy gradient algorithm that has been successfully applied to complex computer games such as Dota 2 and Honor of Kings. In these environments, an agent makes compound actions…

Machine Learning · Computer Science 2023-01-27 Xiulei Song , Yizhao Jin , Greg Slabaugh , Simon Lucas

Gradient boosting is a prediction method that iteratively combines weak learners to produce a complex and accurate model. From an optimization point of view, the learning procedure of gradient boosting mimics a gradient descent on a…

Machine Learning · Computer Science 2022-11-30 Erwan Fouillen , Claire Boyer , Maxime Sangnier

Most recent RL for LLMs (RL4LLM) methods avoid explicit critics, replacing them with average advantage baselines. This shift is largely pragmatic: conventional value functions are computationally expensive to train at LLM scale and often…

Machine Learning · Computer Science 2025-10-16 Jiashun Liu , Johan Obando-Ceron , Han Lu , Yancheng He , Weixun Wang , Wenbo Su , Bo Zheng , Pablo Samuel Castro , Aaron Courville , Ling Pan

As the era of large language models (LLMs) unfolds, Preference Optimization (PO) methods have become a central approach to aligning LLMs with human preferences and improving performance. We propose Maximum a Posteriori Preference…

Recent advances in deep learning have enabled optimization of deep reactive policies (DRPs) for continuous MDP planning by encoding a parametric policy as a deep neural network and exploiting automatic differentiation in an end-to-end…

Artificial Intelligence · Computer Science 2022-03-25 Siow Meng Low , Akshat Kumar , Scott Sanner

Gradient-based methods are often used for policy optimization in deep reinforcement learning, despite being vulnerable to local optima and saddle points. Although gradient-free methods (e.g., genetic algorithms or evolution strategies) help…

Machine Learning · Computer Science 2019-12-24 Xiaobai Ma , Katherine Driggs-Campbell , Zongzhang Zhang , Mykel J. Kochenderfer

In the field of online reinforcement learning (RL), traditional Gaussian policies and flow-based methods are often constrained by their unimodal expressiveness, complex gradient clipping, or stringent trust-region requirements. Moreover,…

Machine Learning · Computer Science 2026-04-21 Qi Zhang

Group Relative Policy Optimization (GRPO) is a promising policy-based approach for Large Language Model alignment, yet its performance is often limited by training instability and suboptimal convergence. In this paper, we identify and…

Machine Learning · Computer Science 2025-12-12 Marco Simoni , Aleksandar Fontana , Giulio Rossolini , Andrea Saracino , Paolo Mori

Proximal Policy Optimization (PPO) is a highly popular model-free reinforcement learning (RL) approach. However, we observe that in a continuous action space, PPO can prematurely shrink the exploration variance, which leads to slow progress…

Machine Learning · Computer Science 2020-11-04 Perttu Hämäläinen , Amin Babadi , Xiaoxiao Ma , Jaakko Lehtinen

Policy optimization methods are popular reinforcement learning algorithms, because their incremental and on-policy nature makes them more stable than the value-based counterparts. However, the same properties also make them slow to converge…

Machine Learning · Computer Science 2021-07-01 Andrea Zanette , Ching-An Cheng , Alekh Agarwal

Deep reinforcement learning (DRL) is one of the promising approaches for introducing robots into complicated environments. The recent remarkable progress of DRL stands on regularization of policy, which allows the policy to improve stably…

Machine Learning · Computer Science 2023-07-04 Taisuke Kobayashi

Reinforcement learning, including reinforcement learning with verifiable rewards (RLVR), has emerged as a powerful approach for LLM post-training. Central to these approaches is the design of the importance sampling (IS) ratio used in…

Machine Learning · Computer Science 2026-05-11 Yuheng Zhang , Chenlu Ye , Shuowei Jin , Changlong Yu , Wei Xiong , Saurabh Sahu , Nan Jiang

Trust-region methods have yielded state-of-the-art results in policy search. A common approach is to use KL-divergence to bound the region of trust resulting in a natural gradient policy update. We show that the natural gradient and trust…

Machine Learning · Computer Science 2019-02-11 Joni Pajarinen , Hong Linh Thai , Riad Akrour , Jan Peters , Gerhard Neumann

Reinforcement learning from verifiable rewards has significantly advanced the reasoning capabilities of large language models. However, Group Relative Policy Optimization (GRPO) typically assigns a uniform, sequence-level advantage to all…

Machine Learning · Computer Science 2026-04-06 Song Yu , Li Li , Wenwen Zhao , Zhisheng Yang

In this paper, we investigate the trade-off between convergence rate and computational cost when minimizing a composite functional with proximal-gradient methods, which are popular optimisation tools in machine learning. We consider the…

Machine Learning · Computer Science 2012-10-23 Pierre Machart , Sandrine Anthoine , Luca Baldassarre

In this paper we propose an on-line policy iteration (PI) algorithm for finite-state infinite horizon discounted dynamic programming, whereby the policy improvement operation is done on-line, only for the states that are encountered during…

Optimization and Control · Mathematics 2021-06-03 Dimitri Bertsekas

Recent advancements in large language model alignment leverage token-level supervisions to perform fine-grained preference optimization. However, existing token-level alignment methods either optimize on all available tokens, which can be…

Computation and Language · Computer Science 2025-11-07 Kailai Yang , Zhiwei Liu , Qianqian Xie , Jimin Huang , Erxue Min , Sophia Ananiadou