Adaptive Loss-aware Quantization for Multi-bit Networks
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Abstract (arXiv)
We investigate the compression of deep neural networks by quantizing their weights and activations into multiple binary bases, known as multi-bit networks (MBNs), which accelerate the inference and reduce the storage for the deployment on low-resource mobile and embedded platforms. We propose Adaptive Loss-aware Quantization (ALQ), a new MBN quantization pipeline that is able to achieve an average bitwidth below one-bit without notable loss in inference accuracy. Unlike previous MBN quantization solutions that train a quantizer by minimizing the error to reconstruct full precision weights, ALQ directly minimizes the quantization-induced error on the loss function involving neither gradient approximation nor full precision maintenance. ALQ also exploits strategies including adaptive bitwidth, smooth bitwidth reduction, and iterative trained quantization to allow a smaller network size without loss in accuracy. Experiment results on popular image datasets show that ALQ outperforms state-of-the-art compressed networks in terms of both storage and accuracy. Code is available at https://github.com/zqu1992/ALQ
Key facts. Cited by 29 papers in the map (data through 7 Oct 2026). First posted on arXiv 18 Dec 2019.
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Citing papers per year: 2021: 9; 2022: 5; 2023: 3; 2024: 6; 2025: 6.
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- 2021A Survey of Quantization Methods for Efficient Neural Network Inferencecited by 798
- 2022A Comprehensive Survey on Model Quantization for Deep Neural Networks in Image Classificationcited by 64
- 2021Sharpness-aware Quantization for Deep Neural Networkscited by 25
- 2022Collaborative Multi-Teacher Knowledge Distillation for Learning Low Bit-width Deep Neural Networkscited by 22
- 2021Generalizable Mixed-Precision Quantization via Attribution Rank Preservationcited by 11
- 2024Channel-Wise Mixed-Precision Quantization for Large Language Modelscited by 11
- 2025Low-bit Model Quantization for Deep Neural Networks: A Surveycited by 11
- 2021Finding the Task-Optimal Low-Bit Sub-Distribution in Deep Neural Networkscited by 9
- 2022Class-based Quantization for Neural Networkscited by 9
- 2024HGQ: High Granularity Quantization for Real-time Neural Networks on FPGAscited by 9
- 2021Measuring what Really Matters: Optimizing Neural Networks for TinyMLcited by 8
- 2023Early-Exit with Class Exclusion for Efficient Inference of Neural Networkscited by 8
17 more
- 2021A Generalized Zero-Shot Quantization of Deep Convolutional Neural Networks via Learned Weights Statisticscited by 6
- 2021Training Compact CNNs for Image Classification using Dynamic-coded Filter Fusioncited by 5
- 2021Automatic Neural Network Pruning that Efficiently Preserves the Model Accuracycited by 4
- 2025Radio: Rate-Distortion Optimization for Large Language Model Compressioncited by 4
- 2021Model compression as constrained optimization, with application to neural nets. Part V: combining compressionscited by 3
- 2022Arrhythmia Classifier Using Convolutional Neural Network with Adaptive Loss-aware Multi-bit Networks Quantizationcited by 3
- 2025Learning from Loss Landscape: Generalizable Mixed-Precision Quantization via Adaptive Sharpness-Aware Gradient Aligningcited by 3
- 2024One-Step Forward and Backtrack: Overcoming Zig-Zagging in Loss-Aware Quantization Trainingcited by 2
- 2024From Algorithm to Hardware: A Survey on Efficient and Safe Deployment of Deep Neural Networkscited by 2
- 2024Foundations of Large Language Model Compression -- Part 1: Weight Quantizationcited by 2
- 2022DRESS: Dynamic REal-time Sparse Subnetscited by 1
- 2023Learning Accurate Performance Predictors for Ultrafast Automated Model Compressioncited by 1
- 2025FlexiQ: Adaptive Mixed-Precision Quantization for Latency/Accuracy Trade-Offs in Deep Neural Networkscited by 1
- 2023AccEPT: An Acceleration Scheme for Speeding Up Edge Pipeline-parallel Trainingcited by 0
- 2024Error Diffusion: Post Training Quantization with Block-Scaled Number Formats for Neural Networkscited by 0
- 2025PQCAD-DM: Progressive Quantization and Calibration-Assisted Distillation for Extremely Efficient Diffusion Modelcited by 0
- 2025Search-Optimized Quantization in Biomedical Ontology Alignmentcited by 0
- 2025FlexiQ: Adaptive Mixed-Precision Quantization for Latency/Accuracy Trade-Offs in Deep Neural Networks3 Oct 2025
- 2025Search-Optimized Quantization in Biomedical Ontology Alignment18 Jul 2025
- 2025PQCAD-DM: Progressive Quantization and Calibration-Assisted Distillation for Extremely Efficient Diffusion Model20 Jun 2025
- 2025Low-bit Model Quantization for Deep Neural Networks: A Survey8 May 2025
- 2025Learning from Loss Landscape: Generalizable Mixed-Precision Quantization via Adaptive Sharpness-Aware Gradient Aligning8 May 2025
- 2025Radio: Rate-Distortion Optimization for Large Language Model Compression5 May 2025
- 2024Channel-Wise Mixed-Precision Quantization for Large Language Models16 Oct 2024
- 2024Error Diffusion: Post Training Quantization with Block-Scaled Number Formats for Neural Networks15 Oct 2024
- 2024Foundations of Large Language Model Compression -- Part 1: Weight Quantization3 Sep 2024
- 2024From Algorithm to Hardware: A Survey on Efficient and Safe Deployment of Deep Neural Networks9 May 2024
- 2024HGQ: High Granularity Quantization for Real-time Neural Networks on FPGAs1 May 2024
- 2024One-Step Forward and Backtrack: Overcoming Zig-Zagging in Loss-Aware Quantization Training30 Jan 2024
17 more
- 2023AccEPT: An Acceleration Scheme for Speeding Up Edge Pipeline-parallel Training10 Nov 2023
- 2023Early-Exit with Class Exclusion for Efficient Inference of Neural Networks23 Sep 2023
- 2023Learning Accurate Performance Predictors for Ultrafast Automated Model Compression13 Apr 2023
- 2022Class-based Quantization for Neural Networks27 Nov 2022
- 2022Collaborative Multi-Teacher Knowledge Distillation for Learning Low Bit-width Deep Neural Networks27 Oct 2022
- 2022DRESS: Dynamic REal-time Sparse Subnets1 Jul 2022
- 2022A Comprehensive Survey on Model Quantization for Deep Neural Networks in Image Classification14 May 2022
- 2022Arrhythmia Classifier Using Convolutional Neural Network with Adaptive Loss-aware Multi-bit Networks Quantization27 Feb 2022
- 2021Finding the Task-Optimal Low-Bit Sub-Distribution in Deep Neural Networks30 Dec 2021
- 2021A Generalized Zero-Shot Quantization of Deep Convolutional Neural Networks via Learned Weights Statistics6 Dec 2021
- 2021Sharpness-aware Quantization for Deep Neural Networks24 Nov 2021
- 2021Automatic Neural Network Pruning that Efficiently Preserves the Model Accuracy18 Nov 2021
- 2021Generalizable Mixed-Precision Quantization via Attribution Rank Preservation5 Aug 2021
- 2021Training Compact CNNs for Image Classification using Dynamic-coded Filter Fusion14 Jul 2021
- 2021Model compression as constrained optimization, with application to neural nets. Part V: combining compressions9 Jul 2021
- 2021Measuring what Really Matters: Optimizing Neural Networks for TinyML21 Apr 2021
- 2021A Survey of Quantization Methods for Efficient Neural Network Inference25 Mar 2021
- 2021A Survey of Quantization Methods for Efficient Neural Network Inferencecited by 798
- 2022A Comprehensive Survey on Model Quantization for Deep Neural Networks in Image Classificationcited by 64
- 2021Sharpness-aware Quantization for Deep Neural Networkscited by 25
- 2022Collaborative Multi-Teacher Knowledge Distillation for Learning Low Bit-width Deep Neural Networkscited by 22
- 2021Generalizable Mixed-Precision Quantization via Attribution Rank Preservationcited by 11
- 2024Channel-Wise Mixed-Precision Quantization for Large Language Modelscited by 11
- 2025Low-bit Model Quantization for Deep Neural Networks: A Surveycited by 11
- 2021Finding the Task-Optimal Low-Bit Sub-Distribution in Deep Neural Networkscited by 9
- 2022Class-based Quantization for Neural Networkscited by 9
- 2024HGQ: High Granularity Quantization for Real-time Neural Networks on FPGAscited by 9
- 2021Measuring what Really Matters: Optimizing Neural Networks for TinyMLcited by 8
- 2021A Generalized Zero-Shot Quantization of Deep Convolutional Neural Networks via Learned Weights Statisticscited by 6
12 most cited of 27 All 27 (JSON)
- 2025FlexiQ: Adaptive Mixed-Precision Quantization for Latency/Accuracy Trade-Offs in Deep Neural Networks3 Oct 2025
- 2025Search-Optimized Quantization in Biomedical Ontology Alignment18 Jul 2025
- 2025Low-bit Model Quantization for Deep Neural Networks: A Survey8 May 2025
- 2025Learning from Loss Landscape: Generalizable Mixed-Precision Quantization via Adaptive Sharpness-Aware Gradient Aligning8 May 2025
- 2025Radio: Rate-Distortion Optimization for Large Language Model Compression5 May 2025
- 2024Channel-Wise Mixed-Precision Quantization for Large Language Models16 Oct 2024
- 2024Error Diffusion: Post Training Quantization with Block-Scaled Number Formats for Neural Networks15 Oct 2024
- 2024Foundations of Large Language Model Compression -- Part 1: Weight Quantization3 Sep 2024
- 2024From Algorithm to Hardware: A Survey on Efficient and Safe Deployment of Deep Neural Networks9 May 2024
- 2024HGQ: High Granularity Quantization for Real-time Neural Networks on FPGAs1 May 2024
- 2024One-Step Forward and Backtrack: Overcoming Zig-Zagging in Loss-Aware Quantization Training30 Jan 2024
- 2023AccEPT: An Acceleration Scheme for Speeding Up Edge Pipeline-parallel Training10 Nov 2023
12 newest of 27 All 27 (JSON)