Deep Neural Network Compression with Single and Multiple Level Quantization
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Abstract (arXiv)
Network quantization is an effective solution to compress deep neural networks for practical usage. Existing network quantization methods cannot sufficiently exploit the depth information to generate low-bit compressed network. In this paper, we propose two novel network quantization approaches, single-level network quantization (SLQ) for high-bit quantization and multi-level network quantization (MLQ) for extremely low-bit quantization (ternary).We are the first to consider the network quantization from both width and depth level. In the width level, parameters are divided into two parts: one for quantization and the other for re-training to eliminate the quantization loss. SLQ leverages the distribution of the parameters to improve the width level. In the depth level, we introduce incremental layer compensation to quantize layers iteratively which decreases the quantization loss in each iteration. The proposed approaches are validated with extensive experiments based on the state-of-the-art neural networks including AlexNet, VGG-16, GoogleNet and ResNet-18. Both SLQ and MLQ achieve impressive results.
Key facts. Cited by 27 papers in the map (data through 14 Oct 2026). First posted on arXiv 6 Mar 2018.
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Citing papers per year: 2021: 10; 2022: 4; 2023: 3; 2024: 4; 2025: 4; 2026: 2.
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- 2023SqueezeLLM: Dense-and-Sparse Quantizationcited by 294
- 2021CHIP: CHannel Independence-based Pruning for Compact Neural Networkscited by 78
- 2022A Comprehensive Survey on Model Quantization for Deep Neural Networks in Image Classificationcited by 65
- 2021Adapt to Adaptation: Learning Personalization for Cross-Silo Federated Learningcited by 53
- 2021Towards Efficient Tensor Decomposition-Based DNN Model Compression with Optimization Frameworkcited by 52
- 2021FIDNet: LiDAR Point Cloud Semantic Segmentation with Fully Interpolation Decodingcited by 46
- 2021Learnable Companding Quantization for Accurate Low-bit Neural Networkscited by 42
- 2021LVAC: Learned Volumetric Attribute Compression for Point Clouds using Coordinate Based Networkscited by 19
- 2022Context-Aware Streaming Perception in Dynamic Environmentscited by 8
- 2021Low-rank Tensor Decomposition for Compression of Convolutional Neural Networks Using Funnel Regularizationcited by 6
- 2024SKIM: Any-bit Quantization Pushing The Limits of Post-Training Quantizationcited by 6
- 2021HEMP: High-order Entropy Minimization for neural network comPressioncited by 4
15 more
- 2024Edge AI: Evaluation of Model Compression Techniques for Convolutional Neural Networkscited by 4
- 2025Universality of Layer-Level Entropy-Weighted Quantization Beyond Model Architecture and Sizecited by 4
- 2021Model compression as constrained optimization, with application to neural nets. Part V: combining compressionscited by 3
- 2025GANQ: GPU-Adaptive Non-Uniform Quantization for Large Language Modelscited by 3
- 2024One-Step Forward and Backtrack: Overcoming Zig-Zagging in Loss-Aware Quantization Trainingcited by 2
- 2025Deep Lookup Networkcited by 2
- 2021Croesus: Multi-Stage Processing and Transactions for Video-Analytics in Edge-Cloud Systemscited by 1
- 2022STN: Scalable Tensorizing Networks via Structure-Aware Training and Adaptive Compressioncited by 1
- 2023On Model Compression for Neural Networks: Framework, Algorithm, and Convergence Guaranteecited by 1
- 2023Automated Heterogeneous Low-Bit Quantization of Multi-Model Deep Learning Inference Pipelinecited by 1
- 2025Neuronal Group Communication for Efficient Neural representationcited by 1
- 2026SigmaQuant: Hardware-Aware Heterogeneous Quantization Method for Edge DNN Inferencecited by 1
- 2022LAB: Learnable Activation Binarizer for Binary Neural Networkscited by 0
- 2024On GNN explanability with activation rulescited by 0
- 2026CodeQuant: Unified Clustering and Quantization for Enhanced Outlier Smoothing in Low-Precision Mixture-of-Expertscited by 0
- 2026CodeQuant: Unified Clustering and Quantization for Enhanced Outlier Smoothing in Low-Precision Mixture-of-Experts12 Apr 2026
- 2026SigmaQuant: Hardware-Aware Heterogeneous Quantization Method for Edge DNN Inference25 Feb 2026
- 2025Neuronal Group Communication for Efficient Neural representation19 Oct 2025
- 2025Deep Lookup Network17 Sep 2025
- 2025Universality of Layer-Level Entropy-Weighted Quantization Beyond Model Architecture and Size6 Mar 2025
- 2025GANQ: GPU-Adaptive Non-Uniform Quantization for Large Language Models22 Jan 2025
- 2024SKIM: Any-bit Quantization Pushing The Limits of Post-Training Quantization5 Dec 2024
- 2024Edge AI: Evaluation of Model Compression Techniques for Convolutional Neural Networks2 Sep 2024
- 2024On GNN explanability with activation rules17 Jun 2024
- 2024One-Step Forward and Backtrack: Overcoming Zig-Zagging in Loss-Aware Quantization Training30 Jan 2024
- 2023Automated Heterogeneous Low-Bit Quantization of Multi-Model Deep Learning Inference Pipeline10 Nov 2023
- 2023SqueezeLLM: Dense-and-Sparse Quantization13 Jun 2023
15 more
- 2023On Model Compression for Neural Networks: Framework, Algorithm, and Convergence Guarantee13 Mar 2023
- 2022LAB: Learnable Activation Binarizer for Binary Neural Networks25 Oct 2022
- 2022Context-Aware Streaming Perception in Dynamic Environments16 Aug 2022
- 2022STN: Scalable Tensorizing Networks via Structure-Aware Training and Adaptive Compression30 May 2022
- 2022A Comprehensive Survey on Model Quantization for Deep Neural Networks in Image Classification14 May 2022
- 2021Croesus: Multi-Stage Processing and Transactions for Video-Analytics in Edge-Cloud Systems31 Dec 2021
- 2021Low-rank Tensor Decomposition for Compression of Convolutional Neural Networks Using Funnel Regularization7 Dec 2021
- 2021LVAC: Learned Volumetric Attribute Compression for Point Clouds using Coordinate Based Networks17 Nov 2021
- 2021CHIP: CHannel Independence-based Pruning for Compact Neural Networks26 Oct 2021
- 2021Adapt to Adaptation: Learning Personalization for Cross-Silo Federated Learning15 Oct 2021
- 2021FIDNet: LiDAR Point Cloud Semantic Segmentation with Fully Interpolation Decoding8 Sep 2021
- 2021Towards Efficient Tensor Decomposition-Based DNN Model Compression with Optimization Framework26 Jul 2021
- 2021HEMP: High-order Entropy Minimization for neural network comPression12 Jul 2021
- 2021Model compression as constrained optimization, with application to neural nets. Part V: combining compressions9 Jul 2021
- 2021Learnable Companding Quantization for Accurate Low-bit Neural Networks12 Mar 2021
- 2023SqueezeLLM: Dense-and-Sparse Quantizationcited by 294
- 2021CHIP: CHannel Independence-based Pruning for Compact Neural Networkscited by 78
- 2022A Comprehensive Survey on Model Quantization for Deep Neural Networks in Image Classificationcited by 65
- 2021Adapt to Adaptation: Learning Personalization for Cross-Silo Federated Learningcited by 53
- 2021Towards Efficient Tensor Decomposition-Based DNN Model Compression with Optimization Frameworkcited by 52
- 2021FIDNet: LiDAR Point Cloud Semantic Segmentation with Fully Interpolation Decodingcited by 46
- 2021Learnable Companding Quantization for Accurate Low-bit Neural Networkscited by 42
- 2021LVAC: Learned Volumetric Attribute Compression for Point Clouds using Coordinate Based Networkscited by 19
- 2022Context-Aware Streaming Perception in Dynamic Environmentscited by 8
- 2021Low-rank Tensor Decomposition for Compression of Convolutional Neural Networks Using Funnel Regularizationcited by 6
- 2024SKIM: Any-bit Quantization Pushing The Limits of Post-Training Quantizationcited by 6
- 2021HEMP: High-order Entropy Minimization for neural network comPressioncited by 4
12 most cited of 26 All 26 (JSON)
- 2026SigmaQuant: Hardware-Aware Heterogeneous Quantization Method for Edge DNN Inference25 Feb 2026
- 2025Neuronal Group Communication for Efficient Neural representation19 Oct 2025
- 2025Deep Lookup Network17 Sep 2025
- 2025Universality of Layer-Level Entropy-Weighted Quantization Beyond Model Architecture and Size6 Mar 2025
- 2025GANQ: GPU-Adaptive Non-Uniform Quantization for Large Language Models22 Jan 2025
- 2024SKIM: Any-bit Quantization Pushing The Limits of Post-Training Quantization5 Dec 2024
- 2024Edge AI: Evaluation of Model Compression Techniques for Convolutional Neural Networks2 Sep 2024
- 2024On GNN explanability with activation rules17 Jun 2024
- 2024One-Step Forward and Backtrack: Overcoming Zig-Zagging in Loss-Aware Quantization Training30 Jan 2024
- 2023Automated Heterogeneous Low-Bit Quantization of Multi-Model Deep Learning Inference Pipeline10 Nov 2023
- 2023SqueezeLLM: Dense-and-Sparse Quantization13 Jun 2023
- 2023On Model Compression for Neural Networks: Framework, Algorithm, and Convergence Guarantee13 Mar 2023
12 newest of 26 All 26 (JSON)