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The Quest for Efficient Reasoning: A Data-Centric Benchmark to CoT Distillation (2505.18759v1)

Published 24 May 2025 in cs.AI and cs.LG

Abstract: Data-centric distillation, including data augmentation, selection, and mixing, offers a promising path to creating smaller, more efficient student LLMs that retain strong reasoning abilities. However, there still lacks a comprehensive benchmark to systematically assess the effect of each distillation approach. This paper introduces DC-CoT, the first data-centric benchmark that investigates data manipulation in chain-of-thought (CoT) distillation from method, model and data perspectives. Utilizing various teacher models (e.g., o4-mini, Gemini-Pro, Claude-3.5) and student architectures (e.g., 3B, 7B parameters), we rigorously evaluate the impact of these data manipulations on student model performance across multiple reasoning datasets, with a focus on in-distribution (IID) and out-of-distribution (OOD) generalization, and cross-domain transfer. Our findings aim to provide actionable insights and establish best practices for optimizing CoT distillation through data-centric techniques, ultimately facilitating the development of more accessible and capable reasoning models. The dataset can be found at https://huggingface.co/datasets/rana-shahroz/DC-COT, while our code is shared in https://anonymous.4open.science/r/DC-COT-FF4C/.

Summary

Overview of the "The Quest for Efficient Reasoning: A Data-Centric Benchmark to CoT Distillation" Paper

The paper "The Quest for Efficient Reasoning: A Data-Centric Benchmark to CoT Distillation" introduces a comprehensive framework_DC-CoT_ focused on data-centric manipulation techniques for enhancing the reasoning capabilities of student models in Chain-of-Thought (CoT) knowledge distillation. The necessity for such strategic data manipulation arises from the operational costs of running LLMs that typically house billions of parameters. As a result, the research aims to equip smaller student models (3–8B parameters) with the reasoning prowess of their larger counterparts, thereby addressing practical challenges stemming from extensive computational requirements associated with LLMs.

The paper systematically evaluates methodologies for data-centric distillation which include augmentation, selection, and mixing of CoT samples, with a goal of ensuring that the distilled student models are not only smaller but also retain robust reasoning capabilities. This benchmark capitalizes on various teacher models (such as o4-mini, Gemini-Pro, and Claude-3.5) and maps their effectiveness across diverse student architectures by gauging performance through different reasoning datasets, emphasizing in-distribution (IID) generalization, out-of-distribution (OOD) generalization, and cross-domain transfer.

Methodological Insights

  1. Data-Centric Manipulation Techniques:
    • Augmentation: The research investigates procedures such as reverse reasoning, rephrasing of questions and answers that aim to diversify CoT examples.
    • Selection: Strategies including teacher correctness filtering and prioritizing student errors are evaluated for their impact on model intelligibility.
    • Mixing: Blending CoT data based on the length and domain was examined to assess the performance of the student models.
  2. Findings:
    • Augmentation strategies, notably reverse thinking, led to the most significant gains in reasoning performance for student models across several testbeds.
    • Selection methodologies, while crucial for maintaining data quality, displayed variable results depending on heuristics utilized, such as teacher-correct filtering.
    • The mixing of data did not universally enhance performance; however, it can be beneficial when strategically aligned with student model characteristics.
  3. Teacher and Student Model Analysis:
    • Performance varied significantly with different configurations of teacher and student pairings. It is noted that student models of higher capacity tend to better leverage stronger teachers. However, for smaller models, optimal results sometimes came from using moderately complex teacher models rather than the most powerful ones, pointing towards the importance of aligning on the complexity of reasoning paths.

Implications and Future Research

The DC-CoT benchmark provides a paradigm shift in evaluating reasoning in student LLMs by promoting a nuanced understanding of how data-centric approaches can amplify learning outcomes. This lays groundwork for the broader application of CoT distilled reasoning models beyond academic inquiries, such as in industries requiring context-aware decision-making systems and adaptive learning technologies. Moreover, the findings advocate for exploring more curated data-centric methods that consider individual student models' limitations and strengths to further bridge the gap between model efficiency and reasoning proficiency.

Future research in this field may benefit from addressing several key areas: refining data-centric strategies to accommodate specific model architectures, integrating multi-modal reasoning capabilities, and alleviating the 'learnability gap' that smaller models face through enhanced teacher-student distillation frameworks. Thus, pushing the envelope further in optimizing both the breadth and depth of reasoning in LLMs without incurring high computation costs.

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