mlsanityData to 7 Oct 2026

DeepDistill: Enhancing LLM Reasoning Capabilities via Large-Scale Difficulty-Graded Data Training

arXiv 2504.17565 ↗First posted 24 Apr 2025cs.CLcited by 17

On the map: LLM reasoning → Reasoning benchmarks and evaluation

Abstract (arXiv)

Although large language models (LLMs) have recently achieved remarkable performance on various complex reasoning benchmarks, the academic community still lacks an in-depth understanding of base model training processes and data quality. To address this, we construct a large-scale, difficulty-graded reasoning dataset containing approximately 3.34 million unique queries of varying difficulty levels and about 40 million distilled responses generated by multiple models over several passes. Leveraging pass rate and Coefficient of Variation (CV), we precisely select the most valuable training data to enhance reasoning capability. Notably, we observe a training pattern shift, indicating that reasoning-focused training based on base models requires higher learning rates for effective training. Using this carefully selected data, we significantly improve the reasoning capabilities of the base model, achieving a pass rate of 79.2% on the AIME2024 mathematical reasoning benchmark. This result surpasses most current distilled models and closely approaches state-of-the-art performance. We provide detailed descriptions of our data processing, difficulty assessment, and training methodology, and have publicly released all datasets and methods to promote rapid progress in open-source long-reasoning LLMs. The dataset is available at: hrefhttps://huggingface.co/datasets/a-m-team/AM-DeepSeek-Distilled-40Mhttps://huggingface.co/datasets/a-m-team/AM-DeepSeek-Distilled-40M

Key facts. Cited by 17 papers in the map (data through 7 Oct 2026). Placed in Reasoning benchmarks and evaluation, one of 17 directions in LLM reasoning. Builds on 26 of its 61 references that are in the map. First posted on arXiv 24 Apr 2025.

Builds on

26 of 61 references.

Closest ancestors · 2

Same direction, newest first

  1. 20251.4 Million Open-Source Distilled Reasoning Dataset to Empower Large Language Model Training25 Mar
  2. 2025Light-R1: Curriculum SFT, DPO and RL for Long COT from Scratch and Beyond13 Mar

Other references · 24

  1. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,302
  2. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  3. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 6,146
  4. 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,748
  5. 2024Qwen2 Technical Reportcited by 2,076
  6. 2024Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameterscited by 1,928
  7. 2024LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Codecited by 1,906
  8. 2025s1: Simple test-time scalingcited by 1,311
  9. 2022Super-NaturalInstructions: Generalization via Declarative Instructions on 1600+ NLP Taskscited by 858
  10. 2023Enhancing Chat Language Models by Scaling High-quality Instructional Conversationscited by 825
  11. 2023MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Modelscited by 724
  12. 2023From Quantity to Quality: Boosting LLM Performance with Self-Guided Data Selection for Instruction Tuningcited by 301
12 more
  1. 2024Inference Scaling Laws: An Empirical Analysis of Compute-Optimal Inference for Problem-Solving with Language Modelscited by 282
  2. 2025DeepMath-103K: A Large-Scale, Challenging, Decontaminated, and Verifiable Mathematical Dataset for Advancing Reasoningcited by 261
  3. 2024Free Process Rewards without Process Labelscited by 162
  4. 2024OpenCoder: The Open Cookbook for Top-Tier Code Large Language Modelscited by 127
  5. 2025KodCode: A Diverse, Challenging, and Verifiable Synthetic Dataset for Codingcited by 115
  6. 2025Big-Math: A Large-Scale, High-Quality Math Dataset for Reinforcement Learning in Language Modelscited by 104
  7. 2025NaturalReasoning: Reasoning in the Wild with 2.8M Challenging Questionscited by 81
  8. 2025Think Twice: Enhancing LLM Reasoning by Scaling Multi-round Test-time Thinkingcited by 46
  9. 2025D3: Diversity, Difficulty, and Dependability-Aware Data Selection for Sample-Efficient LLM Instruction Tuningcited by 21
  10. 2024InfinityMATH: A Scalable Instruction Tuning Dataset in Programmatic Mathematical Reasoningcited by 15
  11. 2025How Difficulty-Aware Staged Reinforcement Learning Enhances LLMs' Reasoning Capabilities: A Preliminary Experimental Studycited by 14
  12. 2024Beyond IID: Optimizing Instruction Learning from the Perspective of Instruction Interaction and Dependencycited by 13

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 12; 2026: 5.

17 papers.

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  1. 2025The LLM Already Knows: Estimating LLM-Perceived Question Difficulty via Hidden Representationscited by 26
  2. 2025Not All Correct Answers Are Equal: Why Your Distillation Source Matterscited by 25
  3. 2025HS-STaR: Hierarchical Sampling for Self-Taught Reasoners via Difficulty Estimation and Budget Reallocationcited by 18
  4. 2025Towards Concise and Adaptive Thinking in Large Reasoning Models: A Surveycited by 18
  5. 2025Hard Examples Are All You Need: Maximizing GRPO Post-Training Under Annotation Budgetscited by 16
  6. 2025MiroMind-M1: An Open-Source Advancement in Mathematical Reasoning via Context-Aware Multi-Stage Policy Optimizationcited by 12
  7. 2026Tackling Length Inflation Without Trade-offs: Group Relative Reward Rescaling for Reinforcement Learningcited by 7
  8. 2025Unearthing Gems from Stones: Policy Optimization with Negative Sample Augmentation for LLM Reasoningcited by 6
  9. 2025SIGMA: Refining Large Language Model Reasoning via Sibling-Guided Monte Carlo Augmentationcited by 3
  10. 2025JT-Math: A Multi-Stage Framework for Advanced Mathematical Reasoning in Large Language Modelscited by 2
  11. 2025Rethinking Expert Trajectory Utilization in LLM Post-training for Mathematical Reasoningcited by 2
  12. 2025Exploring the Potential of Offline RL for Reasoning in LLMs: A Preliminary Studycited by 1
5 more
  1. 2026MathMixup: Boosting LLM Mathematical Reasoning with Difficulty-Controllable Data Synthesis and Curriculum Learningcited by 1
  2. 2026SFT Conflicts, RL Coexists: A Theoretical and Empirical Analysis of Multi-Task Learning for LLMscited by 1
  3. 2025X-Intelligence 3.0: Training and Evaluating Reasoning LLM for Semiconductor Displaycited by 0
  4. 2026Reasoning as State Transition: A Representational Analysis of Reasoning Evolution in Large Language Modelscited by 0
  5. 2026Test-time RL alignment exposes task familiarity artifacts in LLM benchmarkscited by 0

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  1. 2025Reasoning Beyond Limits: Advances and Open Problems for LLMs
  2. 2025LLM Post-Training: A Deep Dive into Reasoning Large Language Models
  3. 2025Advancing Reasoning in Large Language Models: Promising Methods and Approaches
  4. 2025General-Reasoner: Advancing LLM Reasoning Across All Domains
  5. 2026Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens
  6. 2024LLM Reasoning Engine: Specialized Training for Enhanced Mathematical Reasoning
  7. 2025DeepQuestion: Systematic Generation of Real-World Challenges for Evaluating LLMs Performance
  8. 2025Think, Prune, Train, Improve: Scaling Reasoning without Scaling Models