Training Dynamics Impact Post-Training Quantization Robustness
Not on the map. Why?
Abstract (arXiv)
While post-training quantization is widely adopted for efficient deployment of large language models, the mechanisms underlying quantization robustness remain unclear. We conduct a comprehensive analysis of quantization degradation across open-source language model training trajectories up to 32B parameters and 15T training tokens to accurately assess the relationship between training dynamics and quantization performance. Our key finding is that quantization errors in large-scale training runs are driven by a complex interplay between learning rate and other training hyperparameters. Specifically, once learning rates decay, validation loss and quantization error diverge, largely independent of training data scale. To investigate interventions on the training dynamics and identify specific configurations that can modulate quantization robustness favorably, we train our own models in controlled experiments up to 100B tokens. Our results challenge the assumption that increasing dataset scale inherently compromises quantization effectiveness, demonstrating instead that strategic training hyperparameter interventions can improve quantization quality at scale.
Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). Builds on 53 of its 76 references that are in the map. First posted on arXiv 7 Oct 2025.
Builds on
53 of 76 references.
References · 53
- 2020Language Models are Few-Shot Learnerscited by 32,199
- 2019Exploring the Limits of Transfer Learning with a Unified Text-to-Text Transformercited by 14,491
- 2023LLaMA: Open and Efficient Foundation Language Modelscited by 13,958
- 2020Measuring Massive Multitask Language Understandingcited by 7,768
- 2020Scaling Laws for Neural Language Modelscited by 6,411
- 2023Efficient Memory Management for Large Language Model Serving with PagedAttentioncited by 5,767
- 2016SGDR: Stochastic Gradient Descent with Warm Restartscited by 4,993
- 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,710
- 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,018
- 2017Outrageously Large Neural Networks: The Sparsely-Gated Mixture-of-Experts Layercited by 3,413
- 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,818
- 2018Can a Suit of Armor Conduct Electricity? A New Dataset for Open Book Question Answeringcited by 2,114
38 more
- 2022GPTQ: Accurate Post-Training Quantization for Generative Pre-trained Transformerscited by 1,838
- 2018CommonsenseQA: A Question Answering Challenge Targeting Commonsense Knowledgecited by 1,793
- 2023Pythia: A Suite for Analyzing Large Language Models Across Training and Scalingcited by 1,734
- 2017Quantization and Training of Neural Networks for Efficient Integer-Arithmetic-Only Inferencecited by 1,548
- 2022Model soups: averaging weights of multiple fine-tuned models improves accuracy without increasing inference timecited by 1,366
- 2022SmoothQuant: Accurate and Efficient Post-Training Quantization for Large Language Modelscited by 1,338
- 2019PubMedQA: A Dataset for Biomedical Research Question Answeringcited by 1,271
- 2018Averaging Weights Leads to Wider Optima and Better Generalizationcited by 1,194
- 2017Visualizing the Loss Landscape of Neural Netscited by 1,126
- 2024The FineWeb Datasets: Decanting the Web for the Finest Text Data at Scalecited by 1,104
- 2017Crowdsourcing Multiple Choice Science Questionscited by 742
- 2024MiniCPM: Unveiling the Potential of Small Language Models with Scalable Training Strategiescited by 694
- 2019MathQA: Towards Interpretable Math Word Problem Solving with Operation-Based Formalismscited by 653
- 2024OLMo: Accelerating the Science of Language Modelscited by 599
- 2024QuaRot: Outlier-Free 4-Bit Inference in Rotated LLMscited by 598
- 2015BinaryConnect: Training Deep Neural Networks with binary weights during propagationscited by 571
- 2016Entropy-SGD: Biasing Gradient Descent Into Wide Valleyscited by 357
- 2024QuIP#: Even Better LLM Quantization with Hadamard Incoherence and Lattice Codebookscited by 354
- 20242 OLMo 2 Furiouscited by 302
- 2019PyHessian: Neural Networks Through the Lens of the Hessiancited by 291
- 2020The large learning rate phase of deep learning: the catapult mechanismcited by 206
- 2014Qualitatively characterizing neural network optimization problemscited by 186
- 2023Small-scale proxies for large-scale Transformer training instabilitiescited by 182
- 2024Scaling Laws and Compute-Optimal Training Beyond Fixed Training Durationscited by 160
- 2024Nemotron-CC: Transforming Common Crawl into a Refined Long-Horizon Pretraining Datasetcited by 153
- 2020Implicit Gradient Regularizationcited by 145
- 2024Scaling Laws for Precisioncited by 92
- 2022Stop Wasting My Time! Saving Days of ImageNet and BERT Training with Latest Weight Averagingcited by 54
- 2023Intriguing Properties of Quantization at Scalecited by 48
- 2024Anchored Preference Optimization and Contrastive Revisions: Addressing Underspecification in Alignmentcited by 46
- 2024How to set AdamW's weight decay as you scale model and dataset sizecited by 42
- 2025Straight to Zero: Why Linearly Decaying the Learning Rate to Zero Works Best for LLMscited by 34
- 2025Predictable Scale: Part I, Step Law -- Optimal Hyperparameter Scaling Law in Large Language Model Pretrainingcited by 30
- 2024Scaling Law with Learning Rate Annealingcited by 29
- 2025Why Gradients Rapidly Increase Near the End of Trainingcited by 21
- 2023Training trajectories, mini-batch losses and the curious role of the learning ratecited by 20
- 2025Model-Preserving Adaptive Roundingcited by 20
- 2024Low-Bit Quantization Favors Undertrained LLMs: Scaling Laws for Quantized LLMs with 100T Training Tokenscited by 18
50 most cited of 53 All 53 (JSON)
Built on by
Citing papers per year: 2026: 13.
13 papers.
Sort:
By area:
- 2026There Will Be a Scientific Theory of Deep Learningcited by 21
- 2026Sharpness-Aware Pretraining Mitigates Catastrophic Forgettingcited by 7
- 2026Forgetting in Language Models: Capacity, Optimization, and Self-Generated Replaycited by 5
- 2026Weight Decay Improves Language Model Plasticitycited by 4
- 2026(How) Learning Rates Regulate Catastrophic Overtrainingcited by 4
- 2026Zero-Shot Quantization via Weight-Space Arithmeticcited by 2
- 2026Understanding Quantization-Aware Training: Gradients at Quantized Weights Bias to the Low-Loss Basincited by 1
- 2026How Post-Training Shapes Biological Reasoning Modelscited by 1
- 2026Why Does Post-Training Quantization Work?cited by 1
- 2026SandwichQuant: Which Parameters Matter Before and After Quantization?cited by 0
- 2026The Undetected Damage of Quantization on Retrieval and How to Fix Itcited by 0
- 2026Depth Laws for the Precision Floor of Trained Neural Networks: Amplification, Residual Scaling, and a Quantization-Aware Training Paradoxcited by 0
1 more
- 2026Linger and Lose: Knowledge Collapse in Low-Bit Language Models26 Sep 2026
- 2026Depth Laws for the Precision Floor of Trained Neural Networks: Amplification, Residual Scaling, and a Quantization-Aware Training Paradox25 Sep 2026
- 2026The Undetected Damage of Quantization on Retrieval and How to Fix It21 Sep 2026
- 2026Why Does Post-Training Quantization Work?10 Sep 2026
- 2026SandwichQuant: Which Parameters Matter Before and After Quantization?25 Aug 2026
- 2026How Post-Training Shapes Biological Reasoning Models15 Jun 2026
- 2026Understanding Quantization-Aware Training: Gradients at Quantized Weights Bias to the Low-Loss Basin8 Jun 2026
- 2026Forgetting in Language Models: Capacity, Optimization, and Self-Generated Replay25 May 2026
- 2026Sharpness-Aware Pretraining Mitigates Catastrophic Forgetting4 May 2026
- 2026There Will Be a Scientific Theory of Deep Learning23 Apr 2026
- 2026(How) Learning Rates Regulate Catastrophic Overtraining15 Apr 2026
- 2026Zero-Shot Quantization via Weight-Space Arithmetic3 Apr 2026
1 more
- 2026Weight Decay Improves Language Model Plasticity11 Feb 2026
- 2026How Post-Training Shapes Biological Reasoning Modelscited by 1
- 2026How Post-Training Shapes Biological Reasoning Models15 Jun 2026
- 2026There Will Be a Scientific Theory of Deep Learningcited by 21
- 2026Sharpness-Aware Pretraining Mitigates Catastrophic Forgettingcited by 7
- 2026Weight Decay Improves Language Model Plasticitycited by 4
- 2026(How) Learning Rates Regulate Catastrophic Overtrainingcited by 4
- 2026Zero-Shot Quantization via Weight-Space Arithmeticcited by 2
- 2026Understanding Quantization-Aware Training: Gradients at Quantized Weights Bias to the Low-Loss Basincited by 1
- 2026Why Does Post-Training Quantization Work?cited by 1
- 2026SandwichQuant: Which Parameters Matter Before and After Quantization?cited by 0
- 2026The Undetected Damage of Quantization on Retrieval and How to Fix Itcited by 0
- 2026Depth Laws for the Precision Floor of Trained Neural Networks: Amplification, Residual Scaling, and a Quantization-Aware Training Paradoxcited by 0
- 2026Linger and Lose: Knowledge Collapse in Low-Bit Language Modelscited by 0
- 2026Linger and Lose: Knowledge Collapse in Low-Bit Language Models26 Sep 2026
- 2026Depth Laws for the Precision Floor of Trained Neural Networks: Amplification, Residual Scaling, and a Quantization-Aware Training Paradox25 Sep 2026
- 2026The Undetected Damage of Quantization on Retrieval and How to Fix It21 Sep 2026
- 2026Why Does Post-Training Quantization Work?10 Sep 2026
- 2026SandwichQuant: Which Parameters Matter Before and After Quantization?25 Aug 2026
- 2026Understanding Quantization-Aware Training: Gradients at Quantized Weights Bias to the Low-Loss Basin8 Jun 2026
- 2026Sharpness-Aware Pretraining Mitigates Catastrophic Forgetting4 May 2026
- 2026There Will Be a Scientific Theory of Deep Learning23 Apr 2026
- 2026(How) Learning Rates Regulate Catastrophic Overtraining15 Apr 2026
- 2026Zero-Shot Quantization via Weight-Space Arithmetic3 Apr 2026
- 2026Weight Decay Improves Language Model Plasticity11 Feb 2026