<p>Chain-of-Thought (CoT) prompting has revolutionized reasoning in Large Language Models (LLMs), enabling them to tackle complex tasks by mimicking step-by-step human thought processes. However, traditional CoT methods often suffer from high computational costs and context dilution, limiting their effectiveness, particularly in resource-constrained or real-time applications. To address these challenges, we introduce <b>Dynamic Recursive Chain-of-Thought (DR-CoT)</b>, a novel reasoning framework for parameter-efficient models. DR-CoT synergistically integrates recursive reasoning, dynamic context truncation, and a voting mechanism. By selectively retaining the most salient context within a fixed token budget and aggregating inferences from multiple independent reasoning chains, DR-CoT significantly enhances reasoning accuracy. Extensive evaluations on challenging reasoning benchmarks, including GPQA Diamond and AIME2024, demonstrate the efficacy of DR-CoT. On GPQA Diamond, DR-CoT sees Pass@1 accuracy gains of 1.5% for <Emphasis FontCategory="NonProportional">Gemini 2.0 Flash Thinking Experimental</Emphasis>, 2.7% for Grok 3 Beta, and 4.4% for <Emphasis FontCategory="NonProportional">o3 Mini</Emphasis>. Similarly, AIME2024 results reveal consistent improvements of 3-4 percentage points across evaluated models. Furthermore, DR-CoT enhances zero-shot classification performance on GPQA Diamond, enabling compact BERT-sized models to surpass larger language models such as <Emphasis FontCategory="NonProportional">GPT-4</Emphasis> and <Emphasis FontCategory="NonProportional">LLaMA 2</Emphasis>. In code generation tasks using HumanEval, DRCoT empowers models to exceed the performance of established frontier LLMs, including <Emphasis FontCategory="NonProportional">LLaMA 70B</Emphasis>, <Emphasis FontCategory="NonProportional">Phi-3</Emphasis>, and <Emphasis FontCategory="NonProportional">Claude Sonnet</Emphasis>. These comprehensive results underscore DR-CoT’s effectiveness in bridging the performance gap between parameter-efficient models and state-of-the-art LLMs across multiple domains.</p>

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DR-CoT: dynamic recursive chain of thought with meta reasoning for parameter efficient models

  • Aarush Sinha,
  • OmKumar Chandra Umakanthan,
  • Sudhakaran Gajendran

摘要

Chain-of-Thought (CoT) prompting has revolutionized reasoning in Large Language Models (LLMs), enabling them to tackle complex tasks by mimicking step-by-step human thought processes. However, traditional CoT methods often suffer from high computational costs and context dilution, limiting their effectiveness, particularly in resource-constrained or real-time applications. To address these challenges, we introduce Dynamic Recursive Chain-of-Thought (DR-CoT), a novel reasoning framework for parameter-efficient models. DR-CoT synergistically integrates recursive reasoning, dynamic context truncation, and a voting mechanism. By selectively retaining the most salient context within a fixed token budget and aggregating inferences from multiple independent reasoning chains, DR-CoT significantly enhances reasoning accuracy. Extensive evaluations on challenging reasoning benchmarks, including GPQA Diamond and AIME2024, demonstrate the efficacy of DR-CoT. On GPQA Diamond, DR-CoT sees Pass@1 accuracy gains of 1.5% for Gemini 2.0 Flash Thinking Experimental, 2.7% for Grok 3 Beta, and 4.4% for o3 Mini. Similarly, AIME2024 results reveal consistent improvements of 3-4 percentage points across evaluated models. Furthermore, DR-CoT enhances zero-shot classification performance on GPQA Diamond, enabling compact BERT-sized models to surpass larger language models such as GPT-4 and LLaMA 2. In code generation tasks using HumanEval, DRCoT empowers models to exceed the performance of established frontier LLMs, including LLaMA 70B, Phi-3, and Claude Sonnet. These comprehensive results underscore DR-CoT’s effectiveness in bridging the performance gap between parameter-efficient models and state-of-the-art LLMs across multiple domains.