Probing How Scalable Table Data Enhances General Long-Context Reasoning

arXiv cs.CL / 3/24/2026

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Key Points

  • The paper studies which kinds of data improve LLM long-context reasoning, finding that structured table data—especially with periodic structure—can provide strong benefits.
  • It offers a mathematical analysis of tabular dependency structures using mutual information, identifying periodic non-vanishing dependencies as a likely mechanism.
  • The authors run scaling experiments and validation studies showing that adding structured table data meaningfully enhances long-context reasoning capabilities.
  • They propose a scalable data synthesis pipeline called TableLong to generate diverse, high-quality, and verifiable structured table data, then use RL for post-training.
  • Experiments show average gains of +8.24% on multiple long-context benchmarks and +8.06% on out-of-domain benchmarks, suggesting improved generalization.

Abstract

As real-world tasks grow increasingly complex, long-context reasoning has become a core capability for Large Language Models (LLMs). However, few studies explore which data types are effective for long-context reasoning and why. We find that structured table data with periodic structures shows strong potential for long-context reasoning. Motivated by this observation, we mathematically analyze tabular dependency structures using mutual information, revealing periodic non-vanishing dependencies in table data. Furthermore, we systematically analyze the capabilities of structured table data, conduct relevant scaling experiments, and validate its underlying mechanisms for enhancing long-context reasoning, yielding several meaningful insights. Leveraging these insights, we propose a simple yet scalable pipeline(TableLong) for synthesizing high-quality, diverse, and verifiable structured table data to boost long-context reasoning via RL. Extensive experimental results demonstrate that table data significantly enhances the long-context reasoning capability of LLMs across multiple long-context benchmarks (+8.24\% on average), and even improves performance on out-of-domain benchmarks (+8.06\% on average). We hope that our insights provide practical guidance for effective post-training data to enhance long-context reasoning in LLMs.