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Main Authors: Jin, Rihui, Xin, Zheyu, Xie, Xing, Li, Zuoyi, Qi, Guilin, Chen, Yongrui, Dai, Xinbang, Wu, Tongtong, Haffari, Gholamreza
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2506.06137
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author Jin, Rihui
Xin, Zheyu
Xie, Xing
Li, Zuoyi
Qi, Guilin
Chen, Yongrui
Dai, Xinbang
Wu, Tongtong
Haffari, Gholamreza
author_facet Jin, Rihui
Xin, Zheyu
Xie, Xing
Li, Zuoyi
Qi, Guilin
Chen, Yongrui
Dai, Xinbang
Wu, Tongtong
Haffari, Gholamreza
contents Table reasoning (TR) requires structured reasoning over semi-structured tabular data and remains challenging, particularly for small language models (SLMs, e.g., LLaMA-8B) due to their limited capacity compared to large LMs (LLMs, e.g., GPT-4o). To narrow this gap, we explore program-based TR (P-TR), which circumvents key limitations of text-based TR (T-TR), notably in numerical reasoning, by generating executable programs. However, applying P-TR to SLMs introduces two challenges: (i) vulnerability to heterogeneity in table layouts, and (ii) inconsistency in reasoning due to limited code generation capability. We propose Table-r1, a two-stage P-TR method designed for SLMs. Stage 1 introduces an innovative self-supervised learning task, Layout Transformation Inference, to improve tabular layout generalization from a programmatic view. Stage 2 adopts a mix-paradigm variant of Group Relative Policy Optimization, enhancing P-TR consistency while allowing dynamic fallback to T-TR when needed. Experiments on four TR benchmarks demonstrate that Table-r1 outperforms all SLM-based methods, achieving at least a 15% accuracy improvement over the base model (LLaMA-8B) across all datasets and reaching performance competitive with LLMs.
format Preprint
id arxiv_https___arxiv_org_abs_2506_06137
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publishDate 2025
record_format arxiv
spellingShingle Table-r1: Self-supervised and Reinforcement Learning for Program-based Table Reasoning in Small Language Models
Jin, Rihui
Xin, Zheyu
Xie, Xing
Li, Zuoyi
Qi, Guilin
Chen, Yongrui
Dai, Xinbang
Wu, Tongtong
Haffari, Gholamreza
Machine Learning
Computation and Language
Table reasoning (TR) requires structured reasoning over semi-structured tabular data and remains challenging, particularly for small language models (SLMs, e.g., LLaMA-8B) due to their limited capacity compared to large LMs (LLMs, e.g., GPT-4o). To narrow this gap, we explore program-based TR (P-TR), which circumvents key limitations of text-based TR (T-TR), notably in numerical reasoning, by generating executable programs. However, applying P-TR to SLMs introduces two challenges: (i) vulnerability to heterogeneity in table layouts, and (ii) inconsistency in reasoning due to limited code generation capability. We propose Table-r1, a two-stage P-TR method designed for SLMs. Stage 1 introduces an innovative self-supervised learning task, Layout Transformation Inference, to improve tabular layout generalization from a programmatic view. Stage 2 adopts a mix-paradigm variant of Group Relative Policy Optimization, enhancing P-TR consistency while allowing dynamic fallback to T-TR when needed. Experiments on four TR benchmarks demonstrate that Table-r1 outperforms all SLM-based methods, achieving at least a 15% accuracy improvement over the base model (LLaMA-8B) across all datasets and reaching performance competitive with LLMs.
title Table-r1: Self-supervised and Reinforcement Learning for Program-based Table Reasoning in Small Language Models
topic Machine Learning
Computation and Language
url https://arxiv.org/abs/2506.06137