mlsanityData to 7 Oct 2026

LLMs-as-Instructors: Learning from Errors Toward Automating Model Improvement

arXiv 2407.00497 ↗First posted 29 Jun 2024cs.CLcited by 11

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Abstract (arXiv)

This paper introduces the innovative "LLMs-as-Instructors" framework, which leverages the advanced Large Language Models (LLMs) to autonomously enhance the training of smaller target models. Inspired by the theory of "Learning from Errors", this framework employs an instructor LLM to meticulously analyze the specific errors within a target model, facilitating targeted and efficient training cycles. Within this framework, we implement two strategies: "Learning from Error," which focuses solely on incorrect responses to tailor training data, and "Learning from Error by Contrast", which uses contrastive learning to analyze both correct and incorrect responses for a deeper understanding of errors. Our empirical studies, conducted with several open-source models, demonstrate significant improvements across multiple benchmarks, including mathematical reasoning, coding abilities, and factual knowledge. Notably, the refined Llama-3-8b-Instruction has outperformed ChatGPT, illustrating the effectiveness of our approach. By leveraging the strengths of both strategies, we have attained a more balanced performance improvement on both in-domain and out-of-domain benchmarks. Our code can be found at https://yingjiahao14.github.io/LLMs-as-Instructors-pages/.

Key facts. Cited by 11 papers in the map (data through 7 Oct 2026). Builds on 28 of its 40 references that are in the map. First posted on arXiv 29 Jun 2024.

Builds on

28 of 40 references.

References · 28

  1. 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,204
  2. 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 12,865
  3. 2020A Simple Framework for Contrastive Learning of Visual Representationscited by 11,979
  4. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  5. 2021Evaluating Large Language Models Trained on Codecited by 8,053
  6. 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Modelcited by 7,916
  7. 2020Measuring Massive Multitask Language Understandingcited by 7,768
  8. 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,710
  9. 2021Program Synthesis with Large Language Modelscited by 3,509
  10. 2023Self-Refine: Iterative Refinement with Self-Feedbackcited by 3,317
  11. 2022Self-Instruct: Aligning Language Models with Self-Generated Instructionscited by 2,674
  12. 2022Beyond the Imitation Game: Quantifying and extrapolating the capabilities of language modelscited by 1,970
16 more
  1. 2022Challenging BIG-Bench Tasks and Whether Chain-of-Thought Can Solve Themcited by 1,767
  2. 2023WizardLM: Empowering large pre-trained language models to follow complex instructionscited by 1,116
  3. 2023Weak-to-Strong Generalization: Eliciting Strong Capabilities With Weak Supervisioncited by 445
  4. 2023How Far Can Camels Go? Exploring the State of Instruction Tuning on Open Resourcescited by 405
  5. 2023Principle-Driven Self-Alignment of Language Models from Scratch with Minimal Human Supervisioncited by 318
  6. 2023Specializing Smaller Language Models towards Multi-Step Reasoningcited by 249
  7. 2023Don't Make Your LLM an Evaluation Benchmark Cheatercited by 194
  8. 2023Benchmarking Foundation Models with Language-Model-as-an-Examinercited by 172
  9. 2023Orca 2: Teaching Small Language Models How to Reasoncited by 157
  10. 2024GSM-Plus: A Comprehensive Benchmark for Evaluating the Robustness of LLMs as Mathematical Problem Solverscited by 155
  11. 2024Common 7B Language Models Already Possess Strong Math Capabilitiescited by 108
  12. 2024LLM2LLM: Boosting LLMs with Novel Iterative Data Enhancementcited by 69
  13. 2024Can LLMs Learn from Previous Mistakes? Investigating LLMs' Errors to Boost for Reasoningcited by 69
  14. 2023Self-Evolved Diverse Data Sampling for Efficient Instruction Tuningcited by 52
  15. 2024Meaningful Learning: Enhancing Abstract Reasoning in Large Language Models via Generic Fact Guidancecited by 8
  16. 2024A + B: A General Generator-Reader Framework for Optimizing LLMs to Unleash Synergy Potentialcited by 3

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Cited by year

Citing papers per year: 2024: 1; 2025: 10.

11 papers.

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Close in wording, no citation either way

  1. 2025LEMMA: Learning from Errors for MatheMatical Advancement in LLMs
  2. 2023Learning From Mistakes Makes LLM Better Reasoner
  3. 2025Self-Error-Instruct: Generalizing from Errors for LLMs Mathematical Reasoning
  4. 2024Evaluating Mathematical Reasoning of Large Language Models: A Focus on Error Identification and Correction
  5. 2023Teaching Language Models to Self-Improve through Interactive Demonstrations
  6. 2026Improving Mathematical Reasoning Capabilities in Large Language Models via Reasoning Process Error Classification
  7. 2024Exposing the Achilles' Heel: Evaluating LLMs Ability to Handle Mistakes in Mathematical Reasoning
  8. 2025LLM Post-Training: A Deep Dive into Reasoning Large Language Models