Low-Rank Quantization-Aware Training for LLMs
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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
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
- 2021LoRA: Low-Rank Adaptation of Large Language Modelscited by 14,084
- 2023LLaMA: Open and Efficient Foundation Language Modelscited by 13,958
- 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 12,865
- 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
- 2015Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classificationcited by 3,590
- 2023QLoRA: Efficient Finetuning of Quantized LLMscited by 3,355
- 2023Mistral 7Bcited by 3,065
- 2016Pointer Sentinel Mixture Modelscited by 2,992
- 2019PIQA: Reasoning about Physical Commonsense in Natural Languagecited by 2,818
- 2019BoolQ: Exploring the Surprising Difficulty of Natural Yes/No Questionscited by 2,140
38 more
- 2013Estimating or Propagating Gradients Through Stochastic Neurons for Conditional Computationcited by 2,031
- 2022GPTQ: Accurate Post-Training Quantization for Generative Pre-trained Transformerscited by 1,838
- 2017Quantization and Training of Neural Networks for Efficient Integer-Arithmetic-Only Inferencecited by 1,548
- 2022SmoothQuant: Accurate and Efficient Post-Training Quantization for Large Language Modelscited by 1,338
- 2023AWQ: Activation-aware Weight Quantization for LLM Compression and Accelerationcited by 1,234
- 2016Training Deep Nets with Sublinear Memory Costcited by 825
- 2019Learned Step Size Quantizationcited by 604
- 2020Up or Down? Adaptive Rounding for Post-Training Quantizationcited by 600
- 2016DoReFa-Net: Training Low Bitwidth Convolutional Neural Networks with Low Bitwidth Gradientscited by 557
- 2021Datasets: A Community Library for Natural Language Processingcited by 526
- 2022ZeroQuant: Efficient and Affordable Post-Training Quantization for Large-Scale Transformerscited by 517
- 2018Quantizing deep convolutional networks for efficient inference: A whitepapercited by 507
- 2021BRECQ: Pushing the Limit of Post-Training Quantization by Block Reconstructioncited by 464
- 2021A White Paper on Neural Network Quantizationcited by 453
- 2016Quantized Neural Networks: Training Neural Networks with Low Precision Weights and Activationscited by 413
- 2023OmniQuant: Omnidirectionally Calibrated Quantization for Large Language Modelscited by 403
- 2023QuIP: 2-Bit Quantization of Large Language Models With Guaranteescited by 397
- 2015Deep Learning with Limited Numerical Precisioncited by 368
- 2023SpQR: A Sparse-Quantized Representation for Near-Lossless LLM Weight Compressioncited by 359
- 2019Data-Free Quantization Through Weight Equalization and Bias Correctioncited by 328
- 2023LLM-QAT: Data-Free Quantization Aware Training for Large Language Modelscited by 320
- 2024Massive Activations in Large Language Modelscited by 277
- 2020ZeroQ: A Novel Zero Shot Quantization Frameworkcited by 265
- 2024QServe: W4A8KV4 Quantization and System Co-design for Efficient LLM Servingcited by 200
- 2023LoftQ: LoRA-Fine-Tuning-Aware Quantization for Large Language Modelscited by 195
- 2019Low-bit Quantization of Neural Networks for Efficient Inferencecited by 185
- 2020LSQ+: Improving low-bit quantization through learnable offsets and better initializationcited by 180
- 2022Outlier Suppression: Pushing the Limit of Low-bit Transformer Language Modelscited by 176
- 2020Characterising Bias in Compressed Modelscited by 162
- 2023QA-LoRA: Quantization-Aware Low-Rank Adaptation of Large Language Modelscited by 154
- 2019Improving Neural Network Quantization without Retraining using Outlier Channel Splittingcited by 150
- 2023Quantizable Transformers: Removing Outliers by Helping Attention Heads Do Nothingcited by 147
- 2021Understanding and Overcoming the Challenges of Efficient Transformer Quantizationcited by 139
- 2023OWQ: Outlier-Aware Weight Quantization for Efficient Fine-Tuning and Inference of Large Language Modelscited by 113
- 2023RPTQ: Reorder-based Post-training Quantization for Large Language Modelscited by 112
- 2021BERT Busters: Outlier Dimensions that Disrupt Transformerscited by 110
- 2023Memory-Efficient Fine-Tuning of Compressed Large Language Models via sub-4-bit Integer Quantizationcited by 97
- 2023LQ-LoRA: Low-rank Plus Quantized Matrix Decomposition for Efficient Language Model Finetuningcited by 92
50 most cited of 59 All 59 (JSON)
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Citing papers per year: 2024: 8; 2025: 15; 2026: 19.
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- 2024A Survey of Low-bit Large Language Models: Basics, Systems, and Algorithmscited by 30
- 2024ABQ-LLM: Arbitrary-Bit Quantized Inference Acceleration for Large Language Modelscited by 22
- 2025AutoNeural: Co-Designing Vision-Language Models for NPU Inferencecited by 17
- 2025FPTQuant: Function-Preserving Transforms for LLM Quantizationcited by 16
- 2025LiquidGEMM: Hardware-Efficient W4A8 GEMM Kernel for High-Performance LLM Servingcited by 9
- 2026What Makes Low-Bit Quantization-Aware Training Work for Reasoning LLMs? A Systematic Studycited by 9
- 2024EoRA: Fine-tuning-free Compensation for Compressed LLM with Eigenspace Low-Rank Approximationcited by 6
- 2024GQSA: Group Quantization and Sparsity for Accelerating Large Language Model Inferencecited by 5
- 2025RoSTE: An Efficient Quantization-Aware Supervised Fine-Tuning Approach for Large Language Modelscited by 5
- 2025iFairy: the First 2-bit Complex LLM with All Parameters in ±1, ± icited by 5
- 2025Interpreting the Effects of Quantization on LLMscited by 5
- 2026MASQuant: Modality-Aware Smoothing Quantization for Multimodal Large Language Modelscited by 5
30 more
- 2025Mixed-Precision Quantization for Language Models: Techniques and Prospectscited by 4
- 2024FineGates: LLMs Finetuning with Compression using Stochastic Gatescited by 3
- 2025LoTA-QAF: Lossless Ternary Adaptation for Quantization-Aware Fine-Tuningcited by 3
- 2026FreeAct: Freeing Activations for LLM Quantizationcited by 3
- 2024Art and Science of Quantizing Large-Scale Models: A Comprehensive Overviewcited by 2
- 2024EchoAtt: Attend, Copy, then Adjust for More Efficient Large Language Modelscited by 2
- 2025Fairy2i: Training Complex LLMs from Real LLMs with All Parameters in ± 1, ± icited by 2
- 2026Mapping the Schedule x Bit-Width Boundary in Sub-100M Quantisation-Aware Trainingcited by 2
- 2024Interactions Across Blocks in Post-Training Quantization of Large Language Modelscited by 1
- 2025Coded Deep Learning: Framework and Algorithmcited by 1
- 2025Onboard Optimization and Learning: A Surveycited by 1
- 2025MLoRQ: Bridging Low-Rank and Quantization for Transformer Compressioncited by 1
- 2026Differentially Private Subspace Fine-Tuning for Large Language Modelscited by 1
- 2026Train Less, Infer Faster: Efficient Model Finetuning and Compression via Structured Sparsitycited by 1
- 2026Breaking Modality Heterogeneity in Low-Bit Quantization for Large Vision-Language Modelscited by 1
- 2025QArtSR: Quantization via Reverse-Module and Timestep-Retraining in One-Step Diffusion based Image Super-Resolutioncited by 0
- 2025QuantFace: Efficient Quantization for Face Restorationcited by 0
- 2025Evaluating the Safety and Skill Reasoning of Large Reasoning Models Under Compute Constraintscited by 0
- 2026QuEPT: Quantized Elastic Precision Transformers with One-Shot Calibration for Multi-Bit Switchingcited by 0
- 2026Efficient Reasoning on the Edgecited by 0
- 2026Compander-Aligned Query Geometry for Quantized Zeroth-Order Optimizationcited by 0
- 2026Quant.npu: Enabling Efficient Mobile NPU Inference for on-device LLMs via Fully Static Quantizationcited by 0
- 2026GNMR: Runtime Stability Control for Low-Precision Large Language Model Trainingcited by 0
- 2026LLM Compression with Jointly Optimizing Architectural and Quantization choicescited by 0
- 2026Quantization-Aware Healing: A Practical Recipe for Recovering Compressed, 4-Bit LLMscited by 0
- 2026A Target-Centric Survey of Quantization-Aware Trainingcited by 0
- 2026REAL-Q: E2E LLM Quantization via Dynamic Gradient Descentcited by 0
- 2026Scale-QLoRA: Code-Invariant Adapter Merging for Native 4-bit Microscaling LLMscited by 0
- 2026Replay the Curvature: Accurate and Scalable NVFP4 Quantization for Large Language Model Inferencecited by 0
- 2026QATFactory: A Versatile, Deployment-Aligned Framework for Quantization-aware Training and Distillation of LLMscited by 0
- 2026QATFactory: A Versatile, Deployment-Aligned Framework for Quantization-aware Training and Distillation of LLMs30 Sep 2026
- 2026Replay the Curvature: Accurate and Scalable NVFP4 Quantization for Large Language Model Inference29 Sep 2026
- 2026Scale-QLoRA: Code-Invariant Adapter Merging for Native 4-bit Microscaling LLMs3 Sep 2026
- 2026REAL-Q: E2E LLM Quantization via Dynamic Gradient Descent30 Aug 2026
- 2026A Target-Centric Survey of Quantization-Aware Training30 Aug 2026
- 2026Quantization-Aware Healing: A Practical Recipe for Recovering Compressed, 4-Bit LLMs21 Aug 2026
- 2026LLM Compression with Jointly Optimizing Architectural and Quantization choices2 Jun 2026
- 2026GNMR: Runtime Stability Control for Low-Precision Large Language Model Training30 May 2026
- 2026Mapping the Schedule x Bit-Width Boundary in Sub-100M Quantisation-Aware Training25 May 2026
- 2026Quant.npu: Enabling Efficient Mobile NPU Inference for on-device LLMs via Fully Static Quantization19 May 2026
- 2026Breaking Modality Heterogeneity in Low-Bit Quantization for Large Vision-Language Models19 May 2026
- 2026Compander-Aligned Query Geometry for Quantized Zeroth-Order Optimization11 May 2026
30 more
- 2026Efficient Reasoning on the Edge17 Mar 2026
- 2026MASQuant: Modality-Aware Smoothing Quantization for Multimodal Large Language Models5 Mar 2026
- 2026FreeAct: Freeing Activations for LLM Quantization2 Mar 2026
- 2026QuEPT: Quantized Elastic Precision Transformers with One-Shot Calibration for Multi-Bit Switching13 Feb 2026
- 2026Train Less, Infer Faster: Efficient Model Finetuning and Compression via Structured Sparsity9 Feb 2026
- 2026What Makes Low-Bit Quantization-Aware Training Work for Reasoning LLMs? A Systematic Study21 Jan 2026
- 2026Differentially Private Subspace Fine-Tuning for Large Language Models16 Jan 2026
- 2025AutoNeural: Co-Designing Vision-Language Models for NPU Inference2 Dec 2025
- 2025Fairy2i: Training Complex LLMs from Real LLMs with All Parameters in ± 1, ± i2 Dec 2025
- 2025Mixed-Precision Quantization for Language Models: Techniques and Prospects19 Oct 2025
- 2025Evaluating the Safety and Skill Reasoning of Large Reasoning Models Under Compute Constraints22 Sep 2025
- 2025LiquidGEMM: Hardware-Efficient W4A8 GEMM Kernel for High-Performance LLM Serving1 Sep 2025
- 2025Interpreting the Effects of Quantization on LLMs22 Aug 2025
- 2025iFairy: the First 2-bit Complex LLM with All Parameters in ±1, ± i7 Aug 2025
- 2025MLoRQ: Bridging Low-Rank and Quantization for Transformer Compression13 Jul 2025
- 2025FPTQuant: Function-Preserving Transforms for LLM Quantization5 Jun 2025
- 2025QuantFace: Efficient Quantization for Face Restoration1 Jun 2025
- 2025LoTA-QAF: Lossless Ternary Adaptation for Quantization-Aware Fine-Tuning24 May 2025
- 2025Onboard Optimization and Learning: A Survey7 May 2025
- 2025QArtSR: Quantization via Reverse-Module and Timestep-Retraining in One-Step Diffusion based Image Super-Resolution7 Mar 2025
- 2025RoSTE: An Efficient Quantization-Aware Supervised Fine-Tuning Approach for Large Language Models13 Feb 2025
- 2025Coded Deep Learning: Framework and Algorithm16 Jan 2025
- 2024GQSA: Group Quantization and Sparsity for Accelerating Large Language Model Inference23 Dec 2024
- 2024FineGates: LLMs Finetuning with Compression using Stochastic Gates17 Dec 2024
- 2024Interactions Across Blocks in Post-Training Quantization of Large Language Models6 Nov 2024
- 2024EoRA: Fine-tuning-free Compensation for Compressed LLM with Eigenspace Low-Rank Approximation28 Oct 2024
- 2024A Survey of Low-bit Large Language Models: Basics, Systems, and Algorithms25 Sep 2024
- 2024EchoAtt: Attend, Copy, then Adjust for More Efficient Large Language Models22 Sep 2024
- 2024Art and Science of Quantizing Large-Scale Models: A Comprehensive Overview18 Sep 2024
- 2024ABQ-LLM: Arbitrary-Bit Quantized Inference Acceleration for Large Language Models16 Aug 2024
- 2024A Survey of Low-bit Large Language Models: Basics, Systems, and Algorithmscited by 30
- 2025FPTQuant: Function-Preserving Transforms for LLM Quantizationcited by 16
- 2024EoRA: Fine-tuning-free Compensation for Compressed LLM with Eigenspace Low-Rank Approximationcited by 6
- 2024GQSA: Group Quantization and Sparsity for Accelerating Large Language Model Inferencecited by 5
- 2025RoSTE: An Efficient Quantization-Aware Supervised Fine-Tuning Approach for Large Language Modelscited by 5
- 2025iFairy: the First 2-bit Complex LLM with All Parameters in ±1, ± icited by 5
- 2025Interpreting the Effects of Quantization on LLMscited by 5
- 2025Mixed-Precision Quantization for Language Models: Techniques and Prospectscited by 4
- 2024FineGates: LLMs Finetuning with Compression using Stochastic Gatescited by 3
- 2025LoTA-QAF: Lossless Ternary Adaptation for Quantization-Aware Fine-Tuningcited by 3
- 2026FreeAct: Freeing Activations for LLM Quantizationcited by 3
- 2024Art and Science of Quantizing Large-Scale Models: A Comprehensive Overviewcited by 2
12 most cited of 32 All 32 (JSON)
- 2026QATFactory: A Versatile, Deployment-Aligned Framework for Quantization-aware Training and Distillation of LLMs30 Sep 2026
- 2026Replay the Curvature: Accurate and Scalable NVFP4 Quantization for Large Language Model Inference29 Sep 2026
- 2026Scale-QLoRA: Code-Invariant Adapter Merging for Native 4-bit Microscaling LLMs3 Sep 2026
- 2026REAL-Q: E2E LLM Quantization via Dynamic Gradient Descent30 Aug 2026
- 2026A Target-Centric Survey of Quantization-Aware Training30 Aug 2026
- 2026Quantization-Aware Healing: A Practical Recipe for Recovering Compressed, 4-Bit LLMs21 Aug 2026
- 2026LLM Compression with Jointly Optimizing Architectural and Quantization choices2 Jun 2026
- 2026GNMR: Runtime Stability Control for Low-Precision Large Language Model Training30 May 2026
- 2026Mapping the Schedule x Bit-Width Boundary in Sub-100M Quantisation-Aware Training25 May 2026
- 2026Quant.npu: Enabling Efficient Mobile NPU Inference for on-device LLMs via Fully Static Quantization19 May 2026
- 2026Compander-Aligned Query Geometry for Quantized Zeroth-Order Optimization11 May 2026
- 2026FreeAct: Freeing Activations for LLM Quantization2 Mar 2026
12 newest of 32 All 32 (JSON)