mlsanityData to 14 Oct 2026

Introspective X Training: Feedback Conditioning Improves Scaling Across all LLM Training Stages

arXiv 2605.20285 ↗First posted 19 May 2026cs.LG cs.AIcited by 1

On the map: LLM alignment / RLHF / preference optimisation → Process reward models for reasoning

Abstract (arXiv)

We tackle the question of how to scale more efficiently across the many, ever-growing stages of current LLM training pipelines. Our guiding intuition stems from the fact that the dynamics of later stages of the pipeline, e.g. post-training, can be used to inform earlier stages such as pre-training. To this end, we propose Introspective Training (or IXT), inspired by offline reward-conditioned reinforcement learning and applicable to any stage of training. IXT uses a thinking reward model to annotate data with natural language critique based feedback, enabling quality aware training from the earliest stages of the pipeline. Models are then trained by prefix-conditioning the data with the generated feedback -- ensuring that not all tokens are treated equally starting much earlier in training than usual. Comprehensive experiments on 7.5-12B transformer-based dense LLMs trained from scratch all the way up to 18 Trillion tokens seen show that our method: bends scaling curves resulting in up to 2.8x more compute efficiency generally; and reaches performance levels unachievable for models trained otherwise in domains such as math and code.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). Placed in Process reward models for reasoning, one of 10 directions in LLM alignment / RLHF / preference optimisation. Builds on 37 of its 51 references that are in the map. First posted on arXiv 19 May 2026.

Builds on

37 of 51 references.

Closest ancestors · 1

Same direction, newest first

  1. 2024Generative Verifiers: Reward Modeling as Next-Token Prediction27 Aug

Other references · 36

  1. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  2. 2021Evaluating Large Language Models Trained on Codecited by 8,320
  3. 2020Measuring Massive Multitask Language Understandingcited by 7,963
  4. 2020Scaling Laws for Neural Language Modelscited by 6,586
  5. 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,371
  6. 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,886
  7. 2021Program Synthesis with Large Language Modelscited by 3,637
  8. 2024LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Codecited by 2,004
  9. 2021Decision Transformer: Reinforcement Learning via Sequence Modelingcited by 1,546
  10. 2023Is Your Code Generated by ChatGPT Really Correct? Rigorous Evaluation of Large Language Models for Code Generationcited by 1,391
  11. 2023GQA: Training Generalized Multi-Query Transformer Models from Multi-Head Checkpointscited by 1,346
  12. 2023Instruction-Following Evaluation for Large Language Modelscited by 1,228
24 more
  1. 2024The FineWeb Datasets: Decanting the Web for the Finest Text Data at Scalecited by 1,160
  2. 2017RACE: Large-scale ReAding Comprehension Dataset From Examinationscited by 861
  3. 2024MiniCPM: Unveiling the Potential of Small Language Models with Scalable Training Strategiescited by 723
  4. 2024DeepSeek LLM: Scaling Open-Source Language Models with Longtermismcited by 642
  5. 2023DoReMi: Optimizing Data Mixtures Speeds Up Language Model Pretrainingcited by 399
  6. 2023Pretraining Language Models with Human Preferencescited by 247
  7. 2022Quark: Controllable Text Generation with Reinforced Unlearningcited by 237
  8. 2021Primer: Searching for Efficient Transformers for Language Modelingcited by 164
  9. 2024Critique-out-Loud Reward Modelscited by 106
  10. 2025On the Interplay of Pre-Training, Mid-Training, and RL on Reasoning Language Modelscited by 69
  11. 2025NVIDIA Nemotron 3: Efficient and Open Intelligencecited by 65
  12. 2024Does your data spark joy? Performance gains from domain upsampling at the end of trainingcited by 52
  13. 2024Improving Pretraining Data Using Perplexity Correlationscited by 46
  14. 2025Safety Pretraining: Toward the Next Generation of Safe AIcited by 43
  15. 2025Front-Loading Reasoning: The Synergy between Pretraining and Post-Training Datacited by 27
  16. 2025RLP: Reinforcement as a Pretraining Objectivecited by 25
  17. 2025Predictive Data Selection: The Data That Predicts Is the Data That Teachescited by 21
  18. 2025Meta-rater: A Multi-dimensional Data Selection Method for Pre-training Language Modelscited by 19
  19. 2025Language Models Improve When Pretraining Data Matches Target Taskscited by 19
  20. 2025Text2Grad: Reinforcement Learning from Natural Language Feedbackcited by 18
  21. 2025Language Models Can Learn from Verbal Feedback Without Scalar Rewardscited by 18
  22. 2026Shaping capabilities with token-level data filteringcited by 13
  23. 2026Pre-training LLM without Learning Rate Decay Enhances Supervised Fine-Tuningcited by 13
  24. 2026Self-Improving Pretraining: using post-trained models to pretrain better modelscited by 6

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