Integer Quantization for Deep Learning Inference: Principles and Empirical Evaluation
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Abstract (arXiv)
Quantization techniques can reduce the size of Deep Neural Networks and improve inference latency and throughput by taking advantage of high throughput integer instructions. In this paper we review the mathematical aspects of quantization parameters and evaluate their choices on a wide range of neural network models for different application domains, including vision, speech, and language. We focus on quantization techniques that are amenable to acceleration by processors with high-throughput integer math pipelines. We also present a workflow for 8-bit quantization that is able to maintain accuracy within 1% of the floating-point baseline on all networks studied, including models that are more difficult to quantize, such as MobileNets and BERT-large.
Key facts. Cited by 183 papers in the map (data through 7 Oct 2026). First posted on arXiv 20 Apr 2020.
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Citing papers per year: 2021: 23; 2022: 30; 2023: 35; 2024: 40; 2025: 32; 2026: 23.
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- 2022LLM.int8(): 8-bit Matrix Multiplication for Transformers at Scalecited by 881
- 2021A Survey of Quantization Methods for Efficient Neural Network Inferencecited by 798
- 2022ZeroQuant: Efficient and Affordable Post-Training Quantization for Large-Scale Transformerscited by 517
- 2021Pruning and Quantization for Deep Neural Network Acceleration: A Surveycited by 259
- 2021Knowledge distillation: A good teacher is patient and consistentcited by 255
- 2022The case for 4-bit precision: k-bit Inference Scaling Lawscited by 247
- 2021Accelerating Sparse Deep Neural Networkscited by 213
- 2022FP8 Formats for Deep Learningcited by 187
- 2022Outlier Suppression: Pushing the Limit of Low-bit Transformer Language Modelscited by 176
- 2024A Survey on Large Language Model Acceleration based on KV Cache Managementcited by 125
- 2022I-ViT: Integer-only Quantization for Efficient Vision Transformer Inferencecited by 93
- 2024Scaling Laws for Precisioncited by 92
38 more
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- 2021VS-Quant: Per-vector Scaled Quantization for Accurate Low-Precision Neural Network Inferencecited by 59
- 2024Transformers Provably Solve Parity Efficiently with Chain of Thoughtcited by 49
- 2023Intriguing Properties of Quantization at Scalecited by 48
- 2023FlexRound: Learnable Rounding based on Element-wise Division for Post-Training Quantizationcited by 46
- 2023ZeroQuant-FP: A Leap Forward in LLMs Post-Training W4A8 Quantization Using Floating-Point Formatscited by 44
- 2021Inspect, Understand, Overcome: A Survey of Practical Methods for AI Safetycited by 35
- 2024A Comprehensive Study on Quantization Techniques for Large Language Modelscited by 34
- 2024PTQ4SAM: Post-Training Quantization for Segment Anythingcited by 32
- 2024A Survey of Low-bit Large Language Models: Basics, Systems, and Algorithmscited by 30
- 2021Pareto-Optimal Quantized ResNet Is Mostly 4-bitcited by 26
- 2022F8Net: Fixed-Point 8-bit Only Multiplication for Network Quantizationcited by 26
- 2022Optimal Clipping and Magnitude-aware Differentiation for Improved Quantization-aware Trainingcited by 26
- 2022Who Says Elephants Can't Run: Bringing Large Scale MoE Models into Cloud Scale Productioncited by 24
- 2023Boost Vision Transformer with GPU-Friendly Sparsity and Quantizationcited by 20
- 2026Quantization-Aware Distillation for NVFP4 Inference Accuracy Recoverycited by 20
- 2024I-LLM: Efficient Integer-Only Inference for Fully-Quantized Low-Bit Large Language Modelscited by 19
- 2023Integer or Floating Point? New Outlooks for Low-Bit Quantization on Large Language Modelscited by 18
- 2022Efficient Quantized Sparse Matrix Operations on Tensor Corescited by 16
- 2023FPTQ: Fine-grained Post-Training Quantization for Large Language Modelscited by 16
- 2024A Comprehensive Survey of Compression Algorithms for Language Modelscited by 15
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- 2023Robust Weight Signatures: Gaining Robustness as Easy as Patching Weights?cited by 13
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- 2021HPTQ: Hardware-Friendly Post Training Quantizationcited by 9
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- 2025FlashSVD: Memory-Efficient Inference with Streaming for Low-Rank Modelscited by 8
- 2021Low-Precision Hardware Architectures Meet Recommendation Model Inference at Scalecited by 7
50 most cited of 183 All 183 (JSON)
- 2026The Undetected Damage of Quantization on Retrieval and How to Fix It21 Sep 2026
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- 2026Deterministic LLM Inference Across GPU Kernels: Power-of-Two INT8 Quantization Scales and the Limits of Tolerance-Based Conformance25 Aug 2026
- 2026AQLoRA: A Zero-Search Recipe for Fast Quantized LoRA Fine-Tuning24 Aug 2026
- 2026MAPLE: MoE Adaptive Plug-and-play Layer-wise Expert allocation15 Aug 2026
- 2026The Integer Alibi: Localizing Cross-Kernel Divergence in INT8-Quantized LLM Inference13 Aug 2026
- 2026Approximate reservoir computing with a semiconductor laser for reducing energy consumption25 Jul 2026
- 2026Efficient EEG Seizure Detection Using INT8 Quantization, Channel Pruning, and Spiking Neural Networks13 Jul 2026
- 2026Learning through Internalization18 Jun 2026
- 2026Transformers Provably Learn to Internalize Chain-of-Thought27 May 2026
- 2026QuantSR+: Pushing the Limit of Quantized Image Super-Resolution Networks21 May 2026
- 2026Prune, Update and Trim: Robust Structured Pruning for Large Language Models18 May 2026
38 more
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- 2026DharmaOCR: Specialized Small Language Models for Structured OCR that outperform Open-Source and Commercial Baselines15 Apr 2026
- 2026Decompose, Mix, Adapt: A Unified Framework for Parameter-Efficient Neural Network Recombination and Compression28 Mar 2026
- 2026CLIP-Map: Structured Matrix Mapping for Parameter-Efficient CLIP Compression5 Feb 2026
- 2026Float8@2bits: Entropy Coding Enables Data-Free Model Compression30 Jan 2026
- 2026Quantization-Aware Distillation for NVFP4 Inference Accuracy Recovery27 Jan 2026
- 2026Randomization Boosts KV Caching, Learning Balances Query Load: A Joint Perspective26 Jan 2026
- 2026Power-of-Two Quantization-Aware-Training (PoT-QAT) in Large Language Models (LLMs)5 Jan 2026
- 2025HOLE: Homological Observation of Latent Embeddings for Neural Network Interpretability8 Dec 2025
- 2025IPTQ-ViT: Post-Training Quantization of Non-linear Functions for Integer-only Vision Transformers19 Nov 2025
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- 2025RockNet: Distributed Learning on Ultra-Low-Power Devices15 Oct 2025
- 2025AI Compute Architecture and Evolution Trends29 Aug 2025
- 2025Neural Network Quantization for Microcontrollers: A Comprehensive Survey of Methods, Platforms, and Applications20 Aug 2025
- 2025FlashSVD: Memory-Efficient Inference with Streaming for Low-Rank Models2 Aug 2025
- 2025IAMAP: Unlocking Deep Learning in QGIS for non-coders and limited computing resources1 Aug 2025
- 2025Search-Optimized Quantization in Biomedical Ontology Alignment18 Jul 2025
- 2025DMQ: Dissecting Outliers of Diffusion Models for Post-Training Quantization17 Jul 2025
- 2025Compress Any Segment Anything Model (SAM)11 Jul 2025
- 2025EQuARX: Efficient Quantized AllReduce in XLA for Distributed Machine Learning Acceleration21 Jun 2025
- 2025Compression Aware Certified Training13 Jun 2025
- 2025Q-SAM2: Accurate Quantization for Segment Anything Model 211 Jun 2025
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- 2025Assigning Distinct Roles to Quantized and Low-Rank Matrices Toward Optimal Weight Decomposition2 Jun 2025
- 2025Power-of-Two (PoT) Weights in Large Language Models (LLMs)31 May 2025
- 2025Adaptive Semantic Token Communication for Transformer-based Edge Inference23 May 2025
- 2025Mix-QSAM: Mixed-Precision Quantization of the Segment Anything Model8 May 2025
- 2025Onboard Optimization and Learning: A Survey7 May 2025
- 2025StableQuant: Layer Adaptive Post-Training Quantization for Speech Foundation Models21 Apr 2025
- 2025STADE: Standard Deviation as a Pruning Metric28 Mar 2025
- 2025QuartDepth: Post-Training Quantization for Real-Time Depth Estimation on the Edge20 Mar 2025
- 2025Prada: Black-Box LLM Adaptation with Private Data on Resource-Constrained Devices19 Mar 2025
- 2025Helios 2.0: A Robust, Ultra-Low Power Gesture Recognition System Optimised for Event-Sensor based Wearables10 Mar 2025
50 newest of 183 All 183 (JSON)
- 2024QVD: Post-training Quantization for Video Diffusion Modelscited by 14
- 2023Lambda-Split: A Privacy-Preserving Split Computing Framework for Cloud-Powered Generative AIcited by 6
- 2025DMQ: Dissecting Outliers of Diffusion Models for Post-Training Quantizationcited by 6
- 2024Temporal Feature Matters: A Framework for Diffusion Model Quantizationcited by 5
- 2025DMQ: Dissecting Outliers of Diffusion Models for Post-Training Quantization17 Jul 2025
- 2024Temporal Feature Matters: A Framework for Diffusion Model Quantization28 Jul 2024
- 2024QVD: Post-training Quantization for Video Diffusion Models16 Jul 2024
- 2023Lambda-Split: A Privacy-Preserving Split Computing Framework for Cloud-Powered Generative AI23 Oct 2023
- 2022LLM.int8(): 8-bit Matrix Multiplication for Transformers at Scalecited by 881
- 2021A Survey of Quantization Methods for Efficient Neural Network Inferencecited by 798
- 2022ZeroQuant: Efficient and Affordable Post-Training Quantization for Large-Scale Transformerscited by 517
- 2021Pruning and Quantization for Deep Neural Network Acceleration: A Surveycited by 259
- 2021Knowledge distillation: A good teacher is patient and consistentcited by 255
- 2022The case for 4-bit precision: k-bit Inference Scaling Lawscited by 247
- 2021Accelerating Sparse Deep Neural Networkscited by 213
- 2022FP8 Formats for Deep Learningcited by 187
- 2022Outlier Suppression: Pushing the Limit of Low-bit Transformer Language Modelscited by 176
- 2022I-ViT: Integer-only Quantization for Efficient Vision Transformer Inferencecited by 93
- 2024Scaling Laws for Precisioncited by 92
- 2023Outlier Suppression+: Accurate quantization of large language models by equivalent and optimal shifting and scalingcited by 62
12 most cited of 167 All 167 (JSON)
- 2026The Undetected Damage of Quantization on Retrieval and How to Fix It21 Sep 2026
- 2026Is INT8 Portable? A Cross-Platform Measurement Study of Quantized Inference on Embedded and Automotive Accelerators14 Sep 2026
- 2026Deterministic LLM Inference Across GPU Kernels: Power-of-Two INT8 Quantization Scales and the Limits of Tolerance-Based Conformance25 Aug 2026
- 2026AQLoRA: A Zero-Search Recipe for Fast Quantized LoRA Fine-Tuning24 Aug 2026
- 2026The Integer Alibi: Localizing Cross-Kernel Divergence in INT8-Quantized LLM Inference13 Aug 2026
- 2026Approximate reservoir computing with a semiconductor laser for reducing energy consumption25 Jul 2026
- 2026Efficient EEG Seizure Detection Using INT8 Quantization, Channel Pruning, and Spiking Neural Networks13 Jul 2026
- 2026Learning through Internalization18 Jun 2026
- 2026QuantSR+: Pushing the Limit of Quantized Image Super-Resolution Networks21 May 2026
- 2026Prune, Update and Trim: Robust Structured Pruning for Large Language Models18 May 2026
- 2026QuIDE: Mastering the Quantized Intelligence Trade-off via Active Optimization5 May 2026
- 2026Edge AI for Automotive Vulnerable Road User Safety: Deployable Detection via Knowledge Distillation29 Apr 2026
12 newest of 167 All 167 (JSON)