Challenge: Existing methods for enhancing SLMs’ reasoning depend on costly external signals, resulting in SLM overly confident with limited supervision signals.
Approach: They propose to fine-tune and align SLMs using positive and negative feedback signals and introduce process supervision for rewards in preference alignment by sampling-based inference simulation and process reward models.
Outcome: The proposed method improves Gemma-2B's performance on GSM8K and MBPP, and out-of-domain generalization capabilities on MMLU_Math and HumanEval.

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Challenge: Existing approaches to align reasoning abilities between Large Language Models and Smaller Language Model are supervised fine-tuning and preference optimization.
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SIKeD: Self-guided Iterative Knowledge Distillation for Mathematical Reasoning (2025.findings-acl)

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Challenge: Large language models (LLMs) can generate intermediate reasoning process for multistep reasoning tasks.
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Self-Training with Direct Preference Optimization Improves Chain-of-Thought Reasoning (2024.acl-long)

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Challenge: Recent studies focus on enhancing large-scale language models' reasoning abilities, but the research question of how to GSM8K Performance vs. computational cost remains.
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Small Language Models Need Strong Verifiers to Self-Correct Reasoning (2024.findings-acl)

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Challenge: Existing studies show that large language models can self-correct their outputs by generating a critique and revising it based on the critique.
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Challenge: Large language models (LLMs) have demonstrated remarkable progress in reasoning, but are resource-intensive and require large curated datasets.
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Large Language Models Can Self-Improve (2023.emnlp-main)

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Challenge: Large Language Models (LLMs) have excellent performance in various tasks, but fine-tuning requires extensive supervision.
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Self-Explore: Enhancing Mathematical Reasoning in Language Models with Fine-grained Rewards (2024.findings-emnlp)

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Challenge: Recent studies have shown that large language models can solve complex reasoning tasks with Chain-of-Thought Prompting.
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SPPD: Self-training with Process Preference Learning Using Dynamic Value Margin (2025.findings-emnlp)

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Challenge: Existing approaches to improve numerical and logical reasoning of Large Language Models are limited . existing approaches rely on prompt engineering and pretrained knowledge to ensure correctness .
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Self-Correction is More than Refinement: A Learning Framework for Visual and Language Reasoning Tasks (2025.findings-acl)

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Challenge: Large Language Models (LLMs) have shown remarkable abilities, but they invariably generate flawed responses.
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Dynamic Rewarding with Prompt Optimization Enables Tuning-free Self-Alignment of Language Models (2024.emnlp-main)

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Challenge: Empirical evaluations on eight recent LLMs reveal that DRPO significantly enhances alignment performance, enabling base models to outperform their SFT/RLHF-tuned counterparts.
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