mlsanityData to 7 Oct 2026

Rethinking Local Learning: A Cheaper and Faster Recipe for LLM Post-Training

arXiv 2605.04913 ↗First posted 6 May 2026cs.CL cs.LGcited by 3

On the map: LLM reasoning → Test-time compute and efficient thinking

Abstract (arXiv)

LLM post-training typically propagates task gradients through the full depth of the model. Although this end-to-end structure is simple and general, it couples task adaptation to full-depth activation storage, long-range backward dependencies and direct task-gradient access to pretrained representations. We argue that this full-depth backward coupling can be unnecessarily expensive and intrusive, particularly when post-training supervision is much narrower than pre-training. To this end, we propose LoPT: Local-Learning Post-Training, a simple post-training strategy that makes gradient reach an explicit design choice. LoPT places a single gradient boundary at the transformer midpoint: the second-half block learns from the task objective, while the first-half block is updated by a lightweight feature-reconstruction objective to preserve useful representations and maintain interface compatibility. LoPT shortens the task-induced backward path while limiting direct interference from narrow task gradients on early-layer representations. Extensive experiments demonstrate that LoPT achieves competitive performance with lower memory cost, higher training efficiency and better retention of pretrained capabilities. Our code is available at: https://github.com/HumyuShi/LoPT

Key facts. Cited by 3 papers in the map (data through 7 Oct 2026). Placed in Test-time compute and efficient thinking, one of 17 directions in LLM reasoning. Builds on 30 of its 33 references that are in the map. First posted on arXiv 6 May 2026.

Builds on

30 of 33 references.

References · 30

  1. 2017Attention Is All You Needcited by 59,932
  2. 2022Training language models to follow instructions with human feedbackcited by 15,712
  3. 2024The Llama 3 Herd of Modelscited by 14,192
  4. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  5. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 8,851
  6. 2025Qwen3 Technical Reportcited by 8,195
  7. 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Modelcited by 7,916
  8. 2020Measuring Massive Multitask Language Understandingcited by 7,768
  9. 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,710
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  11. 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,018
  12. 2021Prefix-Tuning: Optimizing Continuous Prompts for Generationcited by 3,878
18 more
  1. 2021The Power of Scale for Parameter-Efficient Prompt Tuningcited by 3,769
  2. 2023QLoRA: Efficient Finetuning of Quantized LLMscited by 3,355
  3. 2021TruthfulQA: Measuring How Models Mimic Human Falsehoodscited by 2,919
  4. 2024Qwen2 Technical Reportcited by 2,076
  5. 2023Instruction-Following Evaluation for Large Language Modelscited by 1,143
  6. 2024Tulu 3: Pushing Frontiers in Open Language Model Post-Trainingcited by 988
  7. 2023MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Modelscited by 724
  8. 2024GaLore: Memory-Efficient LLM Training by Gradient Low-Rank Projectioncited by 447
  9. 2024Magpie: Alignment Data Synthesis from Scratch by Prompting Aligned LLMs with Nothingcited by 341
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  11. 2019Training Neural Networks with Local Error Signalscited by 135
  12. 2019Decoupled Greedy Learning of CNNscited by 76
  13. 2024Momentum Auxiliary Network for Supervised Local Learningcited by 9
  14. 2024Advancing Supervised Local Learning Beyond Classification with Long-term Feature Bankcited by 6
  15. 2024MLAAN: Scaling Supervised Local Learning with Multilaminar Leap Augmented Auxiliary Networkcited by 5
  16. 2024HPFF: Hierarchical Locally Supervised Learning with Patch Feature Fusioncited by 5
  17. 2025Beyond Words and Pixels: A Benchmark for Implicit World Knowledge Reasoning in Generative Modelscited by 4
  18. 2025MAN++: Scaling Momentum Auxiliary Network for Supervised Local Learning in Vision Taskscited by 3

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2026: 3.

3 papers.

Similar, not cited

Close in wording, no citation either way

  1. 2026LLMZero: Discovering Adaptive Training Strategies for RL Post-Training via LLM Agents
  2. 2026CapTrack: Multifaceted Evaluation of Forgetting in LLM Post-Training
  3. 2025From Compression to Expression: A Layerwise Analysis of In-Context Learning
  4. 2025Better World Models Can Lead to Better Post-Training Performance
  5. 2026Rosetta Memory: Adaptive Memory for Cross-LLM Agents
  6. 2026ReDraft, Don't Just Distill: Reference-Driven Revision for Continual VLLM Post-Training
  7. 2026How LLM Task-Adaptation Reshapes Alignment: A Multi-dimensional Study of Behavioral and Representational Drift
  8. 2024From Holistic to Localized: Local Enhanced Adapters for Efficient Visual Instruction Fine-Tuning