mlsanityData to 7 Oct 2026

The Unreasonable Effectiveness of Easy Training Data for Hard Tasks

arXiv 2401.06751 ↗First posted 12 Jan 2024cs.CL cs.AI cs.LGcited by 40

On the map: LLM reasoning → Reasoning benchmarks and evaluation

Abstract (arXiv)

How can we train models to perform well on hard test data when hard training data is by definition difficult to label correctly? This question has been termed the scalable oversight problem and has drawn increasing attention as language models have continually improved. In this paper, we present the surprising conclusion that current pretrained language models often generalize relatively well from easy to hard data, even performing as well as oracle models finetuned on hard data. We demonstrate this kind of easy-to-hard generalization using simple finetuning methods like in-context learning, linear classifier heads, and QLoRA for seven different measures of datapoint hardness, including six empirically diverse human hardness measures (like grade level) and one model-based measure (loss-based). Furthermore, we show that even if one cares most about model performance on hard data, it can be better to collect easy data rather than hard data for finetuning, since hard data is generally noisier and costlier to collect. Our experiments use open models up to 70b in size and four publicly available question-answering datasets with questions ranging in difficulty from 3rd grade science questions to college level STEM questions and general-knowledge trivia. We conclude that easy-to-hard generalization in LMs is surprisingly strong for the tasks studied. Our code is available at: https://github.com/allenai/easy-to-hard-generalization

Key facts. Cited by 40 papers in the map (data through 7 Oct 2026). Placed in Reasoning benchmarks and evaluation, one of 17 directions in LLM reasoning. Builds on 20 of its 48 references that are in the map. First posted on arXiv 12 Jan 2024.

Builds on

20 of 48 references.

Closest ancestors · 1

Same direction, newest first

  1. 2023LLaMA: Open and Efficient Foundation Language Models27 Feb

Other references · 19

  1. 2020Language Models are Few-Shot Learnerscited by 32,199
  2. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
  3. 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 12,865
  4. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  5. 2023Qwen Technical Reportcited by 3,273
  6. 2023GPQA: A Graduate-Level Google-Proof Q&A Benchmarkcited by 2,748
  7. 2024Mixtral of Expertscited by 1,785
  8. 2016Concrete Problems in AI Safetycited by 1,582
  9. 2021Probing Classifiers: Promises, Shortcomings, and Advancescited by 831
  10. 2023The Geometry of Truth: Emergent Linear Structure in Large Language Model Representations of True/False Datasetscited by 673
  11. 2023Faith and Fate: Limits of Transformers on Compositionalitycited by 496
  12. 2023Weak-to-Strong Generalization: Eliciting Strong Capabilities With Weak Supervisioncited by 445
7 more
  1. 2020Dataset Cartography: Mapping and Diagnosing Datasets with Training Dynamicscited by 423
  2. 2021Pervasive Label Errors in Test Sets Destabilize Machine Learning Benchmarkscited by 388
  3. 2023What Algorithms can Transformers Learn? A Study in Length Generalizationcited by 198
  4. 2021Can You Learn an Algorithm? Generalizing from Easy to Hard Problems with Recurrent Networkscited by 108
  5. 2022End-to-end Algorithm Synthesis with Recurrent Networks: Logical Extrapolation Without Overthinkingcited by 33
  6. 2021Rissanen Data Analysis: Examining Dataset Characteristics via Description Lengthcited by 22
  7. 2023Can Language Models Teach Weaker Agents? Teacher Explanations Improve Students via Personalizationcited by 15

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 19; 2025: 13; 2026: 8.

40 papers.

Sort:

By area:

  1. 2024Sparse Feature Circuits: Discovering and Editing Interpretable Causal Graphs in Language Modelscited by 412
  2. 2024Easy-to-Hard Generalization: Scalable Alignment Beyond Human Supervisioncited by 95
  3. 2024Can Language Models Learn to Skip Steps?cited by 59
  4. 2024Weak-to-Strong Reasoningcited by 32
  5. 2025Self-Improving Transformers Overcome Easy-to-Hard and Length Generalization Challengescited by 30
  6. 2025The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gainscited by 25
  7. 2024Easy2Hard-Bench: Standardized Difficulty Labels for Profiling LLM Performance and Generalizationcited by 24
  8. 2024Your Weak LLM is Secretly a Strong Teacher for Alignmentcited by 20
  9. 2025Do Language Models Mirror Human Confidence? Exploring Psychological Insights to Address Overconfidence in LLMscited by 19
  10. 2024Provable Weak-to-Strong Generalization via Benign Overfittingcited by 16
  11. 2024Decoding Dark Matter: Specialized Sparse Autoencoders for Interpreting Rare Concepts in Foundation Modelscited by 15
  12. 2024A transfer learning framework for weak-to-strong generalizationcited by 14
28 more
  1. 2024MathGAP: Out-of-Distribution Evaluation on Problems with Arbitrarily Complex Proofscited by 12
  2. 2024The Road to Artificial SuperIntelligence: A Comprehensive Survey of Superalignmentcited by 11
  3. 2025Unsupervised Elicitation of Language Modelscited by 11
  4. 2024Can Large Language Models Always Solve Easy Problems if They Can Solve Harder Ones?cited by 9
  5. 2024Varying Shades of Wrong: Aligning LLMs with Wrong Answers Onlycited by 9
  6. 2024Improving Black-box Robustness with In-Context Rewritingcited by 8
  7. 2025Revisiting Generalization Across Difficulty Levels: It's Not So Easycited by 5
  8. 2025EnsemW2S: Enhancing Weak-to-Strong Generalization with Large Language Model Ensemblescited by 4
  9. 2026Aletheia: What Makes RLVR For Code Verifiers Tick?cited by 4
  10. 2024P3: A Policy-Driven, Pace-Adaptive, and Diversity-Promoted Framework for data pruning in LLM Trainingcited by 3
  11. 2025How to Mitigate Overfitting in Weak-to-strong Generalization?cited by 3
  12. 2025Learning Composable Chains-of-Thoughtcited by 3
  13. 2025ReSURE: Regularizing Supervision Unreliability for Multi-turn Dialogue Fine-tuningcited by 3
  14. 2024Ranking Entities along Conceptual Space Dimensions with LLMs: An Analysis of Fine-Tuning Strategiescited by 2
  15. 2024Evaluating Fine-Tuning Efficiency of Human-Inspired Learning Strategies in Medical Question Answeringcited by 2
  16. 2024Guiding Through Complexity: What Makes Good Supervision for Hard Math Reasoning Tasks?cited by 2
  17. 2025FLAMES: Improving LLM Math Reasoning via a Fine-Grained Analysis of the Data Synthesis Pipelinecited by 2
  18. 2024EnsemW2S: Enhancing Weak-to-Strong Generalization with Large Language Model Ensemblescited by 1
  19. 2025Alice: Proactive Learning with Teacher's Demonstrations for Weak-to-Strong Generalizationcited by 1
  20. 2025Pre-Generating Multi-Difficulty PDE Data for Few-Shot Neural PDE Solverscited by 1
  21. 2026Can Large Language Models Generalize Procedures Across Representations?cited by 1
  22. 2026From "Weak" Signals to Strong Models: Preference Delta Aggregation with LoRA Mergingcited by 1
  23. 2025ACE and Diverse Generalization via Selective Disagreementcited by 0
  24. 2026Unsupervised Elicitation of Moral Values from Language Modelscited by 0
  25. 2026Three Concrete Challenges and Two Hopes for the Safety of Unsupervised Elicitationcited by 0
  26. 2026Learning from Saturated Data: Signals Beyond Correctness for LLM Trainingcited by 0
  27. 2026Curriculum Learning as Transport: Understanding Curricula with Wasserstein Geodesicscited by 0
  28. 2026Learn Your Own Thoughts: Abstract Token Curriculumcited by 0

Similar, not cited

Close in wording, no citation either way

  1. 2025Input-Time Scaling: Adding Noise and Irrelevance into Less-Is-More Drastically Improves Reasoning Performance and Efficiency
  2. 2025Estimating problem difficulty without ground truth using Large Language Model comparisons
  3. 2025The LLM Already Knows: Estimating LLM-Perceived Question Difficulty via Hidden Representations
  4. 2025Rethinking Data: Towards Better Performing Domain-Specific Small Language Models
  5. 2024Optimizing Language Model's Reasoning Abilities with Weak Supervision
  6. 2026Are Large Language Models Truly Smarter Than Humans?
  7. 2026What Makes Something Hard(er)? Explaining Question Difficulty in Natural Language
  8. 2024Unveiling the Flaws: Exploring Imperfections in Synthetic Data and Mitigation Strategies for Large Language Models