Align to the Pivot: Dual Alignment with Self-Feedback for Multilingual Math Reasoning

• URL: http://arxiv.org/abs/2601.17671v1
• Date: Sun, 25 Jan 2026 03:20:00 GMT
• Title: Align to the Pivot: Dual Alignment with Self-Feedback for Multilingual Math Reasoning
• Authors: Chunxu Zhao, Xin Huang, Xue Han, Shujian Huang, Chao Deng, Junlan Feng,
• Abstract summary: We present Pivot-Aligned Self-Feedback Multilingual Reasoning (PASMR)<n>This approach designates the model's primary language as the pivot language.<n>It establishes a cross-lingual self-feedback mechanism without relying on external correct answers or reward models.
• Score: 71.4175109189942
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Despite the impressive reasoning abilities demonstrated by large language models (LLMs), empirical evidence indicates that they are not language agnostic as expected, leading to performance declines in multilingual settings, especially for low-resource languages. We attribute the decline to the model's inconsistent multilingual understanding and reasoning alignment. To address this, we present Pivot-Aligned Self-Feedback Multilingual Reasoning (PASMR), aiming to improve the alignment of multilingual math reasoning abilities in LLMs. This approach designates the model's primary language as the pivot language. During training, the model first translates questions into the pivot language to facilitate better alignment of reasoning patterns. The reasoning process in the target language is then supervised by the pivot language's reasoning answers, thereby establishing a cross-lingual self-feedback mechanism without relying on external correct answers or reward models. Extensive experimental results demonstrate that our method enhances both the model's understanding of questions and its reasoning capabilities, leading to notable task improvements.

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