GTPO: Stabilizing Group Relative Policy Optimization via Gradient and Entropy Control

Fuente: arXiv
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Autores principales: Simoni, Marco, Fontana, Aleksandar, Rossolini, Giulio, Saracino, Andrea, Mori, Paolo
Formato: Preprint
Publicado: 2025
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author Simoni, Marco
Fontana, Aleksandar
Rossolini, Giulio
Saracino, Andrea
Mori, Paolo
author_facet Simoni, Marco
Fontana, Aleksandar
Rossolini, Giulio
Saracino, Andrea
Mori, Paolo
contents 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 analyze two main GRPO issues: (i) the token-level penalization, where valuable tokens shared across different responses receive contradictory feedback signals, leading to conflicting gradient updates that can reduce their likelihood; and (ii) the policy collapse, where negatively rewarded completions may penalize confident responses and shift model decisions toward unlikely tokens, destabilizing training process. To address these issues we introduce GTPO (Group-relative Trajectory-based Policy Optimization), which prevents conflicting gradients on valuable tokens by skipping negative updates while amplifying positive ones and filters out completions whose entropy exceeds a provable threshold, to prevent policy collapse. Unlike GRPO, GTPO does not rely on KL-divergence regularization, eliminating the need for a reference model during training, while still ensuring greater training stability and improved performance, as validated through multiple experiments on GSM8K, MATH, AIME 2024, AIME 2025 and AMC 2023.
format Preprint
id arxiv_https___arxiv_org_abs_2508_03772
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle GTPO: Stabilizing Group Relative Policy Optimization via Gradient and Entropy Control
Simoni, Marco
Fontana, Aleksandar
Rossolini, Giulio
Saracino, Andrea
Mori, Paolo
Machine Learning
Artificial Intelligence
Computation and Language
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 analyze two main GRPO issues: (i) the token-level penalization, where valuable tokens shared across different responses receive contradictory feedback signals, leading to conflicting gradient updates that can reduce their likelihood; and (ii) the policy collapse, where negatively rewarded completions may penalize confident responses and shift model decisions toward unlikely tokens, destabilizing training process. To address these issues we introduce GTPO (Group-relative Trajectory-based Policy Optimization), which prevents conflicting gradients on valuable tokens by skipping negative updates while amplifying positive ones and filters out completions whose entropy exceeds a provable threshold, to prevent policy collapse. Unlike GRPO, GTPO does not rely on KL-divergence regularization, eliminating the need for a reference model during training, while still ensuring greater training stability and improved performance, as validated through multiple experiments on GSM8K, MATH, AIME 2024, AIME 2025 and AMC 2023.
title GTPO: Stabilizing Group Relative Policy Optimization via Gradient and Entropy Control
topic Machine Learning
Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2508.03772