mlsanityData to 7 Oct 2026

Low-Rank Quantization-Aware Training for LLMs

arXiv 2406.06385 ↗First posted 10 Jun 2024cs.LG cs.AI cs.CLcited by 42

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Abstract (arXiv)

Large language models (LLMs) are omnipresent, however their practical deployment is challenging due to their ever increasing computational and memory demands. Quantization is one of the most effective ways to make them more compute and memory efficient. Quantization-aware training (QAT) methods, generally produce the best quantized performance, however it comes at the cost of potentially long training time and excessive memory usage, making it impractical when applying for LLMs. Inspired by parameter-efficient fine-tuning (PEFT) and low-rank adaptation (LoRA) literature, we propose LR-QAT -- a lightweight and memory-efficient QAT algorithm for LLMs. LR-QAT employs several components to save memory without sacrificing predictive performance: (a) low-rank auxiliary weights that are aware of the quantization grid; (b) a downcasting operator using fixed-point or double-packed integers and (c) checkpointing. Unlike most related work, our method (i) is inference-efficient, leading to no additional overhead compared to traditional PTQ; (ii) can be seen as a general extended pretraining framework, meaning that the resulting model can still be utilized for any downstream task afterwards; (iii) can be applied across a wide range of quantization settings, such as different choices quantization granularity, activation quantization, and seamlessly combined with many PTQ techniques. We apply LR-QAT to LLaMA-1/2/3 and Mistral model families and validate its effectiveness on several downstream tasks. Our method outperforms common post-training quantization (PTQ) approaches and reaches the same model performance as full-model QAT at the fraction of its memory usage. Specifically, we can train a 7B LLM on a single consumer grade GPU with 24GB of memory. Our source code is available at https://github.com/qualcomm-ai-research/LR-QAT

Key facts. Cited by 42 papers in the map (data through 7 Oct 2026). Builds on 59 of its 72 references that are in the map. First posted on arXiv 10 Jun 2024.

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59 of 72 references.

References · 59

  1. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
  2. 2021LoRA: Low-Rank Adaptation of Large Language Modelscited by 14,084
  3. 2023LLaMA: Open and Efficient Foundation Language Modelscited by 13,958
  4. 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 12,865
  5. 2018Think you have Solved Question Answering? Try ARC, the AI2 Reasoning Challengecited by 4,710
  6. 2019HellaSwag: Can a Machine Really Finish Your Sentence?cited by 4,018
  7. 2015Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classificationcited by 3,590
  8. 2023QLoRA: Efficient Finetuning of Quantized LLMscited by 3,355
  9. 2023Mistral 7Bcited by 3,065
  10. 2016Pointer Sentinel Mixture Modelscited by 2,992
  11. 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,818
  12. 2019BoolQ: Exploring the Surprising Difficulty of Natural Yes/No Questionscited by 2,140
38 more
  1. 2013Estimating or Propagating Gradients Through Stochastic Neurons for Conditional Computationcited by 2,031
  2. 2022GPTQ: Accurate Post-Training Quantization for Generative Pre-trained Transformerscited by 1,838
  3. 2017Quantization and Training of Neural Networks for Efficient Integer-Arithmetic-Only Inferencecited by 1,548
  4. 2022SmoothQuant: Accurate and Efficient Post-Training Quantization for Large Language Modelscited by 1,338
  5. 2023AWQ: Activation-aware Weight Quantization for LLM Compression and Accelerationcited by 1,234
  6. 2016Training Deep Nets with Sublinear Memory Costcited by 825
  7. 2019Learned Step Size Quantizationcited by 604
  8. 2020Up or Down? Adaptive Rounding for Post-Training Quantizationcited by 600
  9. 2016DoReFa-Net: Training Low Bitwidth Convolutional Neural Networks with Low Bitwidth Gradientscited by 557
  10. 2021Datasets: A Community Library for Natural Language Processingcited by 526
  11. 2022ZeroQuant: Efficient and Affordable Post-Training Quantization for Large-Scale Transformerscited by 517
  12. 2018Quantizing deep convolutional networks for efficient inference: A whitepapercited by 507
  13. 2021BRECQ: Pushing the Limit of Post-Training Quantization by Block Reconstructioncited by 464
  14. 2021A White Paper on Neural Network Quantizationcited by 453
  15. 2016Quantized Neural Networks: Training Neural Networks with Low Precision Weights and Activationscited by 413
  16. 2023OmniQuant: Omnidirectionally Calibrated Quantization for Large Language Modelscited by 403
  17. 2023QuIP: 2-Bit Quantization of Large Language Models With Guaranteescited by 397
  18. 2015Deep Learning with Limited Numerical Precisioncited by 368
  19. 2023SpQR: A Sparse-Quantized Representation for Near-Lossless LLM Weight Compressioncited by 359
  20. 2019Data-Free Quantization Through Weight Equalization and Bias Correctioncited by 328
  21. 2023LLM-QAT: Data-Free Quantization Aware Training for Large Language Modelscited by 320
  22. 2024Massive Activations in Large Language Modelscited by 277
  23. 2020ZeroQ: A Novel Zero Shot Quantization Frameworkcited by 265
  24. 2024QServe: W4A8KV4 Quantization and System Co-design for Efficient LLM Servingcited by 200
  25. 2023LoftQ: LoRA-Fine-Tuning-Aware Quantization for Large Language Modelscited by 195
  26. 2019Low-bit Quantization of Neural Networks for Efficient Inferencecited by 185
  27. 2020LSQ+: Improving low-bit quantization through learnable offsets and better initializationcited by 180
  28. 2022Outlier Suppression: Pushing the Limit of Low-bit Transformer Language Modelscited by 176
  29. 2020Characterising Bias in Compressed Modelscited by 162
  30. 2023QA-LoRA: Quantization-Aware Low-Rank Adaptation of Large Language Modelscited by 154
  31. 2019Improving Neural Network Quantization without Retraining using Outlier Channel Splittingcited by 150
  32. 2023Quantizable Transformers: Removing Outliers by Helping Attention Heads Do Nothingcited by 147
  33. 2021Understanding and Overcoming the Challenges of Efficient Transformer Quantizationcited by 139
  34. 2023OWQ: Outlier-Aware Weight Quantization for Efficient Fine-Tuning and Inference of Large Language Modelscited by 113
  35. 2023RPTQ: Reorder-based Post-training Quantization for Large Language Modelscited by 112
  36. 2021BERT Busters: Outlier Dimensions that Disrupt Transformerscited by 110
  37. 2023Memory-Efficient Fine-Tuning of Compressed Large Language Models via sub-4-bit Integer Quantizationcited by 97
  38. 2023LQ-LoRA: Low-rank Plus Quantized Matrix Decomposition for Efficient Language Model Finetuningcited by 92

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 8; 2025: 15; 2026: 19.

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  1. 2024A Survey of Low-bit Large Language Models: Basics, Systems, and Algorithmscited by 30
  2. 2024ABQ-LLM: Arbitrary-Bit Quantized Inference Acceleration for Large Language Modelscited by 22
  3. 2025AutoNeural: Co-Designing Vision-Language Models for NPU Inferencecited by 17
  4. 2025FPTQuant: Function-Preserving Transforms for LLM Quantizationcited by 16
  5. 2025LiquidGEMM: Hardware-Efficient W4A8 GEMM Kernel for High-Performance LLM Servingcited by 9
  6. 2026What Makes Low-Bit Quantization-Aware Training Work for Reasoning LLMs? A Systematic Studycited by 9
  7. 2024EoRA: Fine-tuning-free Compensation for Compressed LLM with Eigenspace Low-Rank Approximationcited by 6
  8. 2024GQSA: Group Quantization and Sparsity for Accelerating Large Language Model Inferencecited by 5
  9. 2025RoSTE: An Efficient Quantization-Aware Supervised Fine-Tuning Approach for Large Language Modelscited by 5
  10. 2025iFairy: the First 2-bit Complex LLM with All Parameters in ±1, ± icited by 5
  11. 2025Interpreting the Effects of Quantization on LLMscited by 5
  12. 2026MASQuant: Modality-Aware Smoothing Quantization for Multimodal Large Language Modelscited by 5
30 more
  1. 2025Mixed-Precision Quantization for Language Models: Techniques and Prospectscited by 4
  2. 2024FineGates: LLMs Finetuning with Compression using Stochastic Gatescited by 3
  3. 2025LoTA-QAF: Lossless Ternary Adaptation for Quantization-Aware Fine-Tuningcited by 3
  4. 2026FreeAct: Freeing Activations for LLM Quantizationcited by 3
  5. 2024Art and Science of Quantizing Large-Scale Models: A Comprehensive Overviewcited by 2
  6. 2024EchoAtt: Attend, Copy, then Adjust for More Efficient Large Language Modelscited by 2
  7. 2025Fairy2i: Training Complex LLMs from Real LLMs with All Parameters in ± 1, ± icited by 2
  8. 2026Mapping the Schedule x Bit-Width Boundary in Sub-100M Quantisation-Aware Trainingcited by 2
  9. 2024Interactions Across Blocks in Post-Training Quantization of Large Language Modelscited by 1
  10. 2025Coded Deep Learning: Framework and Algorithmcited by 1
  11. 2025Onboard Optimization and Learning: A Surveycited by 1
  12. 2025MLoRQ: Bridging Low-Rank and Quantization for Transformer Compressioncited by 1
  13. 2026Differentially Private Subspace Fine-Tuning for Large Language Modelscited by 1
  14. 2026Train Less, Infer Faster: Efficient Model Finetuning and Compression via Structured Sparsitycited by 1
  15. 2026Breaking Modality Heterogeneity in Low-Bit Quantization for Large Vision-Language Modelscited by 1
  16. 2025QArtSR: Quantization via Reverse-Module and Timestep-Retraining in One-Step Diffusion based Image Super-Resolutioncited by 0
  17. 2025QuantFace: Efficient Quantization for Face Restorationcited by 0
  18. 2025Evaluating the Safety and Skill Reasoning of Large Reasoning Models Under Compute Constraintscited by 0
  19. 2026QuEPT: Quantized Elastic Precision Transformers with One-Shot Calibration for Multi-Bit Switchingcited by 0
  20. 2026Efficient Reasoning on the Edgecited by 0
  21. 2026Compander-Aligned Query Geometry for Quantized Zeroth-Order Optimizationcited by 0
  22. 2026Quant.npu: Enabling Efficient Mobile NPU Inference for on-device LLMs via Fully Static Quantizationcited by 0
  23. 2026GNMR: Runtime Stability Control for Low-Precision Large Language Model Trainingcited by 0
  24. 2026LLM Compression with Jointly Optimizing Architectural and Quantization choicescited by 0
  25. 2026Quantization-Aware Healing: A Practical Recipe for Recovering Compressed, 4-Bit LLMscited by 0
  26. 2026A Target-Centric Survey of Quantization-Aware Trainingcited by 0
  27. 2026REAL-Q: E2E LLM Quantization via Dynamic Gradient Descentcited by 0
  28. 2026Scale-QLoRA: Code-Invariant Adapter Merging for Native 4-bit Microscaling LLMscited by 0
  29. 2026Replay the Curvature: Accurate and Scalable NVFP4 Quantization for Large Language Model Inferencecited by 0
  30. 2026QATFactory: A Versatile, Deployment-Aligned Framework for Quantization-aware Training and Distillation of LLMscited by 0