Full-Step-DPO: Self-Supervised Preference Optimization with Step-wise Rewards for Mathematical Reasoning Article Swipe
Huimin Xu
,
Xin Mao
,
Feng-Lin Li
,
Xiaobao Wu
,
Wang Chen
,
Wei Zhang
,
Anh Tuan Luu
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2502.14356
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2502.14356
Direct Preference Optimization (DPO) often struggles with long-chain mathematical reasoning. Existing approaches, such as Step-DPO, typically improve this by focusing on the first erroneous step in the reasoning chain. However, they overlook all other steps and rely heavily on humans or GPT-4 to identify erroneous steps. To address these issues, we propose Full-Step-DPO, a novel DPO framework tailored for mathematical reasoning. Instead of optimizing only the first erroneous step, it leverages step-wise rewards from the entire reasoning chain. This is achieved by training a self-supervised process reward model, which automatically scores each step, providing rewards while avoiding reliance on external signals. Furthermore, we introduce a novel step-wise DPO loss, which dynamically updates gradients based on these step-wise rewards. This endows stronger reasoning capabilities to language models. Extensive evaluations on both in-domain and out-of-domain mathematical reasoning benchmarks across various base language models, demonstrate that Full-Step-DPO achieves superior performance compared to state-of-the-art baselines.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2502.14356
- https://arxiv.org/pdf/2502.14356
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4407806679
All OpenAlex metadata
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https://openalex.org/W4407806679Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2502.14356Digital Object Identifier
- Title
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Full-Step-DPO: Self-Supervised Preference Optimization with Step-wise Rewards for Mathematical ReasoningWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2025Year of publication
- Publication date
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2025-02-20Full publication date if available
- Authors
-
Huimin Xu, Xin Mao, Feng-Lin Li, Xiaobao Wu, Wang Chen, Wei Zhang, Anh Tuan LuuList of authors in order
- Landing page
-
https://arxiv.org/abs/2502.14356Publisher landing page
- PDF URL
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https://arxiv.org/pdf/2502.14356Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2502.14356Direct OA link when available
- Concepts
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Preference, Computer science, Artificial intelligence, Mathematical optimization, Mathematics, StatisticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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