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Main Authors: Jia, Sheng, Wang, Xiao, Kasiviswanathan, Shiva Prasad
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2510.05132
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author Jia, Sheng
Wang, Xiao
Kasiviswanathan, Shiva Prasad
author_facet Jia, Sheng
Wang, Xiao
Kasiviswanathan, Shiva Prasad
contents Although LLMs have demonstrated improved performance by scaling parallel test-time compute, doing so relies on generating reasoning paths that are both diverse and accurate. For challenging problems, the forking tokens that trigger diverse yet correct reasoning modes are typically deep in the sampling tree. Consequently, common strategies to encourage diversity, such as temperature scaling, encounter a worsened trade-off between diversity and accuracy. Motivated by this challenge, we treat parallel reasoning as a set-of-next-token-prediction problem and incorporate a set-based global loss into Supervised Fine-Tuning (SFT) using bipartite matching between global forking tokens and unique reasoning traces. We observe that whereas naive fine-tuning with multiple reasoning traces collapses these unique reasoning modes, our proposed method, Set Supervised Fine-Tuning (SSFT), preserves these modes and produces emergent global forking tokens. Global Forking Policy Optimization (GFPO) leverages these maximally steerable tokens to incentivize complex reasoning, and the resulting models consistently outperform their SFT counterparts with GRPO on both math reasoning and execution-based code generation benchmarks.
format Preprint
id arxiv_https___arxiv_org_abs_2510_05132
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Training Large Language Models To Reason In Parallel With Global Forking Tokens
Jia, Sheng
Wang, Xiao
Kasiviswanathan, Shiva Prasad
Computation and Language
Artificial Intelligence
Machine Learning
Although LLMs have demonstrated improved performance by scaling parallel test-time compute, doing so relies on generating reasoning paths that are both diverse and accurate. For challenging problems, the forking tokens that trigger diverse yet correct reasoning modes are typically deep in the sampling tree. Consequently, common strategies to encourage diversity, such as temperature scaling, encounter a worsened trade-off between diversity and accuracy. Motivated by this challenge, we treat parallel reasoning as a set-of-next-token-prediction problem and incorporate a set-based global loss into Supervised Fine-Tuning (SFT) using bipartite matching between global forking tokens and unique reasoning traces. We observe that whereas naive fine-tuning with multiple reasoning traces collapses these unique reasoning modes, our proposed method, Set Supervised Fine-Tuning (SSFT), preserves these modes and produces emergent global forking tokens. Global Forking Policy Optimization (GFPO) leverages these maximally steerable tokens to incentivize complex reasoning, and the resulting models consistently outperform their SFT counterparts with GRPO on both math reasoning and execution-based code generation benchmarks.
title Training Large Language Models To Reason In Parallel With Global Forking Tokens
topic Computation and Language
Artificial Intelligence
Machine Learning
url https://arxiv.org/abs/2510.05132