Retro-Search: Exploring Untaken Paths for Deeper and Efficient Reasoning

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Main Authors: Lu, Ximing, Han, Seungju, Acuna, David, Kim, Hyunwoo, Jung, Jaehun, Prabhumoye, Shrimai, Muennighoff, Niklas, Patwary, Mostofa, Shoeybi, Mohammad, Catanzaro, Bryan, Choi, Yejin
Format: Preprint
Published: 2025
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author Lu, Ximing
Han, Seungju
Acuna, David
Kim, Hyunwoo
Jung, Jaehun
Prabhumoye, Shrimai
Muennighoff, Niklas
Patwary, Mostofa
Shoeybi, Mohammad
Catanzaro, Bryan
Choi, Yejin
author_facet Lu, Ximing
Han, Seungju
Acuna, David
Kim, Hyunwoo
Jung, Jaehun
Prabhumoye, Shrimai
Muennighoff, Niklas
Patwary, Mostofa
Shoeybi, Mohammad
Catanzaro, Bryan
Choi, Yejin
contents Large reasoning models exhibit remarkable reasoning capabilities via long, elaborate reasoning trajectories. Supervised fine-tuning on such reasoning traces, also known as distillation, can be a cost-effective way to boost reasoning capabilities of student models. However, empirical observations reveal that these reasoning trajectories are often suboptimal, switching excessively between different lines of thought, resulting in under-thinking, over-thinking, and even degenerate responses. We introduce Retro-Search, an MCTS-inspired search algorithm, for distilling higher quality reasoning paths from large reasoning models. Retro-Search retrospectively revises reasoning paths to discover better, yet shorter traces, which can then lead to student models with enhanced reasoning capabilities with shorter, thus faster inference. Our approach can enable two use cases: self-improvement, where models are fine-tuned on their own Retro-Search-ed thought traces, and weak-to-strong improvement, where a weaker model revises stronger model's thought traces via Retro-Search. For self-improving, R1-distill-7B, fine-tuned on its own Retro-Search-ed traces, reduces the average reasoning length by 31.2% while improving performance by 7.7% across seven math benchmarks. For weak-to-strong improvement, we retrospectively revise R1-671B's traces from the OpenThoughts dataset using R1-distill-32B as the Retro-Search-er, a model 20x smaller. Qwen2.5-32B, fine-tuned on this refined data, achieves performance comparable to R1-distill-32B, yielding an 11.3% reduction in reasoning length and a 2.4% performance improvement compared to fine-tuning on the original OpenThoughts data. Our work counters recently emergent viewpoints that question the relevance of search algorithms in the era of large reasoning models, by demonstrating that there are still opportunities for algorithmic advancements, even for frontier models.
format Preprint
id arxiv_https___arxiv_org_abs_2504_04383
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Retro-Search: Exploring Untaken Paths for Deeper and Efficient Reasoning
Lu, Ximing
Han, Seungju
Acuna, David
Kim, Hyunwoo
Jung, Jaehun
Prabhumoye, Shrimai
Muennighoff, Niklas
Patwary, Mostofa
Shoeybi, Mohammad
Catanzaro, Bryan
Choi, Yejin
Artificial Intelligence
Computation and Language
Machine Learning
Large reasoning models exhibit remarkable reasoning capabilities via long, elaborate reasoning trajectories. Supervised fine-tuning on such reasoning traces, also known as distillation, can be a cost-effective way to boost reasoning capabilities of student models. However, empirical observations reveal that these reasoning trajectories are often suboptimal, switching excessively between different lines of thought, resulting in under-thinking, over-thinking, and even degenerate responses. We introduce Retro-Search, an MCTS-inspired search algorithm, for distilling higher quality reasoning paths from large reasoning models. Retro-Search retrospectively revises reasoning paths to discover better, yet shorter traces, which can then lead to student models with enhanced reasoning capabilities with shorter, thus faster inference. Our approach can enable two use cases: self-improvement, where models are fine-tuned on their own Retro-Search-ed thought traces, and weak-to-strong improvement, where a weaker model revises stronger model's thought traces via Retro-Search. For self-improving, R1-distill-7B, fine-tuned on its own Retro-Search-ed traces, reduces the average reasoning length by 31.2% while improving performance by 7.7% across seven math benchmarks. For weak-to-strong improvement, we retrospectively revise R1-671B's traces from the OpenThoughts dataset using R1-distill-32B as the Retro-Search-er, a model 20x smaller. Qwen2.5-32B, fine-tuned on this refined data, achieves performance comparable to R1-distill-32B, yielding an 11.3% reduction in reasoning length and a 2.4% performance improvement compared to fine-tuning on the original OpenThoughts data. Our work counters recently emergent viewpoints that question the relevance of search algorithms in the era of large reasoning models, by demonstrating that there are still opportunities for algorithmic advancements, even for frontier models.
title Retro-Search: Exploring Untaken Paths for Deeper and Efficient Reasoning
topic Artificial Intelligence
Computation and Language
Machine Learning
url https://arxiv.org/abs/2504.04383