APTQ: Attention-aware Post-Training Mixed-Precision Quantization for Large Language Models
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Abstract (arXiv)
Large Language Models (LLMs) have greatly advanced the natural language processing paradigm. However, the high computational load and huge model sizes pose a grand challenge for deployment on edge devices. To this end, we propose APTQ (Attention-aware Post-Training Mixed-Precision Quantization) for LLMs, which considers not only the second-order information of each layer's weights, but also, for the first time, the nonlinear effect of attention outputs on the entire model. We leverage the Hessian trace as a sensitivity metric for mixed-precision quantization, ensuring an informed precision reduction that retains model performance. Experiments show APTQ surpasses previous quantization methods, achieving an average of 4 bit width a 5.22 perplexity nearly equivalent to full precision in the C4 dataset. In addition, APTQ attains state-of-the-art zero-shot accuracy of 68.24% and 70.48% at an average bitwidth of 3.8 in LLaMa-7B and LLaMa-13B, respectively, demonstrating its effectiveness to produce high-quality quantized LLMs.
Key facts. Cited by 33 papers in the map (data through 7 Oct 2026). Builds on 9 of its 21 references that are in the map. First posted on arXiv 21 Feb 2024.
Builds on
9 of 21 references.
References · 9
- 2022Training language models to follow instructions with human feedbackcited by 15,712
- 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
- 2016Pointer Sentinel Mixture Modelscited by 2,992
- 2023SpQR: A Sparse-Quantized Representation for Near-Lossless LLM Weight Compressioncited by 359
- 2022Optimal Brain Compression: A Framework for Accurate Post-Training Quantization and Pruningcited by 317
- 2019HAWQ-V2: Hessian Aware trace-Weighted Quantization of Neural Networkscited by 250
- 2023LLM-FP4: 4-Bit Floating-Point Quantized Transformerscited by 65
- 2019Progressive DARTS: Bridging the Optimization Gap for NAS in the Wildcited by 39
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Citing papers per year: 2024: 7; 2025: 16; 2026: 10.
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- 2024SliM-LLM: Salience-Driven Mixed-Precision Quantization for Large Language Modelscited by 61
- 2024Large Language Model Inference Acceleration: A Comprehensive Hardware Perspectivecited by 36
- 2025Quantization Error Propagation: Revisiting Layer-Wise Post-Training Quantizationcited by 36
- 2024A Comprehensive Study on Quantization Techniques for Large Language Modelscited by 34
- 2024ResQ: Mixed-Precision Quantization of Large Language Models with Low-Rank Residualscited by 32
- 2025Block Rotation is All You Need for MXFP4 Quantizationcited by 18
- 2025Benchmarking Post-Training Quantization in LLMs: Comprehensive Taxonomy, Unified Evaluation, and Comparative Analysiscited by 12
- 2025ButterflyQuant: Ultra-low-bit LLM Quantization through Learnable Orthogonal Butterfly Transformscited by 8
- 2025SalQ-VLM: Fine-Grained Saliency-Guided Quantization for Vision-Language Modelscited by 7
- 2026TWLA: Achieving Ternary Weights and Low-Bit Activations for LLMs via Post-Training Quantizationcited by 7
- 2025RaanA: A Fast, Flexible, and Data-Efficient Post-Training Quantization Algorithmcited by 5
- 2025Radio: Rate-Distortion Optimization for Large Language Model Compressioncited by 4
21 more
- 2025Mixed-Precision Quantization for Language Models: Techniques and Prospectscited by 4
- 2025Enhancing Ultra-Low-Bit Quantization of Large Language Models Through Saliency-Aware Partial Retrainingcited by 3
- 2025You Had One Job: Per-Task Quantization Using LLMs' Hidden Representationscited by 3
- 2026ScaleBITS: Scalable Bitwidth Search for Hardware-Aligned Mixed-Precision LLMscited by 3
- 2026OneComp: One-Line Revolution for Generative AI Model Compressioncited by 3
- 2024Foundations of Large Language Model Compression -- Part 1: Weight Quantizationcited by 2
- 2024Continuous Approximations for Improving Quantization Aware Training of LLMscited by 2
- 2025HaLoRA: Hardware-aware Low-Rank Adaptation for Large Language Models Based on Hybrid Compute-in-Memory Architecturecited by 2
- 2025FineQ: Software-Hardware Co-Design for Low-Bit Fine-Grained Mixed-Precision Quantization of LLMscited by 2
- 2026EdgeRazor: A Lightweight Framework for Large Language Models via Mixed-Precision Quantization-Aware Distillationcited by 2
- 2026dMX: Differentiable Mixed-Precision Assignment for Low-Precision Floating-Point Formatscited by 2
- 2024LLM-Barber: Block-Aware Rebuilder for Sparsity Mask in One-Shot for Large Language Modelscited by 1
- 2025Pack-PTQ: Advancing Post-training Quantization of Neural Networks by Pack-wise Reconstructioncited by 1
- 2025Squeeze10-LLM: Squeezing LLMs' Weights by 10 Times via a Staged Mixed-Precision Quantization Methodcited by 1
- 2025KVNAND: Efficient On-Device Large Language Model Inference Using DRAM-Free In-Flash Computingcited by 1
- 2026Beyond Activation Alignment:The Alignment-Diversity Tradeoff in Task-Aware LLM Quantizationcited by 1
- 2025Irrational Complex Rotations Empower Low-bit Optimizerscited by 0
- 2026SNIP: An Adaptive Mixed Precision Framework for Subbyte Large Language Model Trainingcited by 0
- 2026Unifying Depth and Width Pruning for LLMs via Binary Knapsack Optimizationcited by 0
- 2026Component Type, Not Reconstruction Error, Predicts Attention Quantization Sensitivitycited by 0
- 2026From Attention Sensitivity to Layer Role: Revisiting Mixed-Precision Quantization of Transformerscited by 0
- 2026From Attention Sensitivity to Layer Role: Revisiting Mixed-Precision Quantization of Transformers28 Sep 2026
- 2026Unifying Depth and Width Pruning for LLMs via Binary Knapsack Optimization13 Aug 2026
- 2026Component Type, Not Reconstruction Error, Predicts Attention Quantization Sensitivity9 Aug 2026
- 2026Beyond Activation Alignment:The Alignment-Diversity Tradeoff in Task-Aware LLM Quantization1 Jul 2026
- 2026TWLA: Achieving Ternary Weights and Low-Bit Activations for LLMs via Post-Training Quantization11 Jun 2026
- 2026dMX: Differentiable Mixed-Precision Assignment for Low-Precision Floating-Point Formats2 Jun 2026
- 2026EdgeRazor: A Lightweight Framework for Large Language Models via Mixed-Precision Quantization-Aware Distillation10 Apr 2026
- 2026OneComp: One-Line Revolution for Generative AI Model Compression30 Mar 2026
- 2026ScaleBITS: Scalable Bitwidth Search for Hardware-Aligned Mixed-Precision LLMs6 Feb 2026
- 2026SNIP: An Adaptive Mixed Precision Framework for Subbyte Large Language Model Training1 Feb 2026
- 2025KVNAND: Efficient On-Device Large Language Model Inference Using DRAM-Free In-Flash Computing3 Dec 2025
- 2025You Had One Job: Per-Task Quantization Using LLMs' Hidden Representations9 Nov 2025
21 more
- 2025Block Rotation is All You Need for MXFP4 Quantization6 Nov 2025
- 2025Mixed-Precision Quantization for Language Models: Techniques and Prospects19 Oct 2025
- 2025ButterflyQuant: Ultra-low-bit LLM Quantization through Learnable Orthogonal Butterfly Transforms11 Sep 2025
- 2025SalQ-VLM: Fine-Grained Saliency-Guided Quantization for Vision-Language Models5 Aug 2025
- 2025Squeeze10-LLM: Squeezing LLMs' Weights by 10 Times via a Staged Mixed-Precision Quantization Method24 Jul 2025
- 2025Radio: Rate-Distortion Optimization for Large Language Model Compression5 May 2025
- 2025Pack-PTQ: Advancing Post-training Quantization of Neural Networks by Pack-wise Reconstruction1 May 2025
- 2025FineQ: Software-Hardware Co-Design for Low-Bit Fine-Grained Mixed-Precision Quantization of LLMs28 Apr 2025
- 2025Enhancing Ultra-Low-Bit Quantization of Large Language Models Through Saliency-Aware Partial Retraining14 Apr 2025
- 2025Quantization Error Propagation: Revisiting Layer-Wise Post-Training Quantization13 Apr 2025
- 2025RaanA: A Fast, Flexible, and Data-Efficient Post-Training Quantization Algorithm29 Mar 2025
- 2025HaLoRA: Hardware-aware Low-Rank Adaptation for Large Language Models Based on Hybrid Compute-in-Memory Architecture27 Feb 2025
- 2025Benchmarking Post-Training Quantization in LLMs: Comprehensive Taxonomy, Unified Evaluation, and Comparative Analysis18 Feb 2025
- 2025Irrational Complex Rotations Empower Low-bit Optimizers22 Jan 2025
- 2024ResQ: Mixed-Precision Quantization of Large Language Models with Low-Rank Residuals18 Dec 2024
- 2024A Comprehensive Study on Quantization Techniques for Large Language Models30 Oct 2024
- 2024Continuous Approximations for Improving Quantization Aware Training of LLMs6 Oct 2024
- 2024Large Language Model Inference Acceleration: A Comprehensive Hardware Perspective6 Oct 2024
- 2024Foundations of Large Language Model Compression -- Part 1: Weight Quantization3 Sep 2024
- 2024LLM-Barber: Block-Aware Rebuilder for Sparsity Mask in One-Shot for Large Language Models20 Aug 2024
- 2024SliM-LLM: Salience-Driven Mixed-Precision Quantization for Large Language Models23 May 2024
- 2024Large Language Model Inference Acceleration: A Comprehensive Hardware Perspectivecited by 36
- 2026TWLA: Achieving Ternary Weights and Low-Bit Activations for LLMs via Post-Training Quantizationcited by 7
- 2025KVNAND: Efficient On-Device Large Language Model Inference Using DRAM-Free In-Flash Computingcited by 1
- 2026TWLA: Achieving Ternary Weights and Low-Bit Activations for LLMs via Post-Training Quantization11 Jun 2026
- 2025KVNAND: Efficient On-Device Large Language Model Inference Using DRAM-Free In-Flash Computing3 Dec 2025
- 2024Large Language Model Inference Acceleration: A Comprehensive Hardware Perspective6 Oct 2024
- 2024SliM-LLM: Salience-Driven Mixed-Precision Quantization for Large Language Modelscited by 61
- 2025Quantization Error Propagation: Revisiting Layer-Wise Post-Training Quantizationcited by 36
- 2024A Comprehensive Study on Quantization Techniques for Large Language Modelscited by 34
- 2024ResQ: Mixed-Precision Quantization of Large Language Models with Low-Rank Residualscited by 32
- 2025Block Rotation is All You Need for MXFP4 Quantizationcited by 18
- 2025Benchmarking Post-Training Quantization in LLMs: Comprehensive Taxonomy, Unified Evaluation, and Comparative Analysiscited by 12
- 2025ButterflyQuant: Ultra-low-bit LLM Quantization through Learnable Orthogonal Butterfly Transformscited by 8
- 2025RaanA: A Fast, Flexible, and Data-Efficient Post-Training Quantization Algorithmcited by 5
- 2025Radio: Rate-Distortion Optimization for Large Language Model Compressioncited by 4
- 2025Mixed-Precision Quantization for Language Models: Techniques and Prospectscited by 4
- 2025Enhancing Ultra-Low-Bit Quantization of Large Language Models Through Saliency-Aware Partial Retrainingcited by 3
- 2025You Had One Job: Per-Task Quantization Using LLMs' Hidden Representationscited by 3
12 most cited of 29 All 29 (JSON)
- 2026From Attention Sensitivity to Layer Role: Revisiting Mixed-Precision Quantization of Transformers28 Sep 2026
- 2026Unifying Depth and Width Pruning for LLMs via Binary Knapsack Optimization13 Aug 2026
- 2026Component Type, Not Reconstruction Error, Predicts Attention Quantization Sensitivity9 Aug 2026
- 2026Beyond Activation Alignment:The Alignment-Diversity Tradeoff in Task-Aware LLM Quantization1 Jul 2026
- 2026dMX: Differentiable Mixed-Precision Assignment for Low-Precision Floating-Point Formats2 Jun 2026
- 2026EdgeRazor: A Lightweight Framework for Large Language Models via Mixed-Precision Quantization-Aware Distillation10 Apr 2026
- 2026OneComp: One-Line Revolution for Generative AI Model Compression30 Mar 2026
- 2026ScaleBITS: Scalable Bitwidth Search for Hardware-Aligned Mixed-Precision LLMs6 Feb 2026
- 2026SNIP: An Adaptive Mixed Precision Framework for Subbyte Large Language Model Training1 Feb 2026
- 2025You Had One Job: Per-Task Quantization Using LLMs' Hidden Representations9 Nov 2025
- 2025Block Rotation is All You Need for MXFP4 Quantization6 Nov 2025
- 2025Mixed-Precision Quantization for Language Models: Techniques and Prospects19 Oct 2025
12 newest of 29 All 29 (JSON)