Challenge: Large Language Models (LLMs) excel in reasoning tasks through Chain-of-Thought prompting.
Approach: They examine the factors influencing CoT distillation including granularity, format and teacher model.
Outcome: The proposed model is based on four teacher models and seven student models across seven mathematical and commonsense reasoning datasets.

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Capture the Key in Reasoning to Enhance CoT Distillation Generalization (2025.acl-long)

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Challenge: Existing distillation methods for Large Language Models (LLMs) focus on fine-tuning student SLMs on correct data, resulting in students struggling to learn the key instead of analyzing mistakes according to correct solutions.
Approach: They propose a method that exposes key reasoning steps rather than simple fine-tuning students' CoTs data by using a set of prompts with similar reasoning paths but divergent conclusions.
Outcome: The proposed method improves student SLMs' ability to learn key reasoning steps rather than fine-tuning them on teacher data.
MoDE-CoTD: Chain-of-Thought Distillation for Complex Reasoning Tasks with Mixture of Decoupled LoRA-Experts (2024.lrec-main)

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Challenge: Current Chain-of-thought Distillation methods hinder CoT reasoning performance . student models are separately distilled from specific reasoning tasks . parameter update of student models severely harms CoT ability on unseen reasoning tasks.
Approach: They propose a method which distills Chain-of-thought reasoning ability of large language models to much smaller student models.
Outcome: The proposed method improves the reasoning ability of large language models on 14 datasets.
Mixed Distillation Helps Smaller Language Models Reason Better (2024.findings-emnlp)

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Challenge: Recent large language models (LLMs) have demonstrated impressive multiple step-by-step reasoning capabilities in recent NLP reasoning tasks.
Approach: They propose a mixed distillation framework that distills multiple step-by-step reasoning abilities into smaller language models (SLMs) they leverage LLMs to generate multiple step by step reasoning rationales by sampling automatically.
Outcome: The proposed framework outperforms existing models on SVAMP, GSM8K and ASDIV, while a single model generated by MD exceeds the comprehensive performance of two individual CoT and PoT distilled models.
Improving Reasoning Capabilities in Small Models through Mixture-of-layers Distillation with Stepwise Attention on Key Information (2025.emnlp-main)

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Challenge: Existing methods focus on transferring teacher-generated rationales to student models, but do not explore teachers’ dynamic attention towards critical information during reasoning.
Approach: They propose a method that transfers the teacher’s stepwise attention on key information to the student model and a Mixture of Layers module that allows dynamic alignment between the teacher and student.
Outcome: The proposed framework achieves consistent performance improvements across multiple mathematical and commonsense reasoning datasets.
PaD: Program-aided Distillation Can Teach Small Models Reasoning Better than Chain-of-thought Fine-tuning (2024.naacl-long)

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Challenge: Large language models excel in various tasks, but their huge size and inaccessibility of parameters present challenges for practical deployment.
Approach: They propose to use CoT data to distill task-specific ability from large language models to smaller models . they use reasoning programs to suppress errors in distilled data and improve distillation quality .
Outcome: The proposed model outperforms LLMs on arithmetic reasoning, symbolic reasoning, and general ability.
Mentor-KD: Making Small Language Models Better Multi-step Reasoners (2024.emnlp-main)

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Challenge: Large Language Models (LLMs) have shown impressive emergent capabilities by leveraging Chain-of-Thought (CoT) prompting.
Approach: They propose a Knowledge Distillation approach which transfers multi-step reasoning ability of Large Language Models (LLMs) to smaller LMs by fine-tuning language models of multi- step rationales generated by LLM teachers.
Outcome: The proposed method is able to transfer multi-step reasoning ability of LLMs to smaller LMs while addressing data quality and soft label provision.
Distilling Reasoning Capabilities into Smaller Language Models (2023.findings-acl)

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Challenge: a step-by-step reasoning approach like chain of thought has proved to be effective in eliciting reasoning abilities in large language models.
Approach: They propose a knowledge distillation approach that leverages CoT reasoning capabilities of larger models and distills them into smaller models.
Outcome: The proposed scheme boosts the performance of smaller models over 70% on multiple reasoning datasets.
Aligning Large and Small Language Models via Chain-of-Thought Reasoning (2024.eacl-long)

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Challenge: Chain-of-Thought (CoT) prompting empowers Large Language Models to solve complex reasoning tasks in a step-wise manner.
Approach: They propose a method for aligning and transferring reasoning abilities between larger and smaller Language Models by using CoT-Demonstrations.
Outcome: The proposed method outperforms baselines on question-answering and mathematical reasoning benchmarks.
How Likely Do LLMs with CoT Mimic Human Reasoning? (2025.coling-main)

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Challenge: Using chain-of-thought to elicit reasoning capabilities is not always effective and accurate.
Approach: They compare the reasoning process of LLMs with humans to understand the causal chain . they find that LLM deviates from the ideal causal chain, resulting in spurious correlations .
Outcome: The proposed method does not improve performance or accurately represent reasoning processes in LLMs.
Teaching Small Language Models to Reason (2023.acl-short)

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Challenge: Chain of thought prompting improves reasoning capabilities of large language models but only emerges in models with tens of billions of parameters.
Approach: They propose to fine tune a student model on chain of thought outputs generated by a larger teacher model.
Outcome: The proposed method improves task performance across arithmetic, commonsense and symbolic reasoning datasets.

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