mlsanityData to 7 Oct 2026

Learning to Quantize Deep Networks by Optimizing Quantization Intervals with Task Loss

arXiv 1808.05779 ↗First posted 17 Aug 2018cs.CVcited by 157

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Abstract (arXiv)

Reducing bit-widths of activations and weights of deep networks makes it efficient to compute and store them in memory, which is crucial in their deployments to resource-limited devices, such as mobile phones. However, decreasing bit-widths with quantization generally yields drastically degraded accuracy. To tackle this problem, we propose to learn to quantize activations and weights via a trainable quantizer that transforms and discretizes them. Specifically, we parameterize the quantization intervals and obtain their optimal values by directly minimizing the task loss of the network. This quantization-interval-learning (QIL) allows the quantized networks to maintain the accuracy of the full-precision (32-bit) networks with bit-width as low as 4-bit and minimize the accuracy degeneration with further bit-width reduction (i.e., 3 and 2-bit). Moreover, our quantizer can be trained on a heterogeneous dataset, and thus can be used to quantize pretrained networks without access to their training data. We demonstrate the effectiveness of our trainable quantizer on ImageNet dataset with various network architectures such as ResNet-18, -34 and AlexNet, on which it outperforms existing methods to achieve the state-of-the-art accuracy.

Key facts. Cited by 157 papers in the map (data through 7 Oct 2026). First posted on arXiv 17 Aug 2018.

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 41; 2022: 37; 2023: 30; 2024: 23; 2025: 19; 2026: 7.

157 papers.

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  1. 2021A Survey of Quantization Methods for Efficient Neural Network Inferencecited by 798
  2. 2023SqueezeLLM: Dense-and-Sparse Quantizationcited by 285
  3. 2021Pruning and Quantization for Deep Neural Network Acceleration: A Surveycited by 259
  4. 2023RPTQ: Reorder-based Post-training Quantization for Large Language Modelscited by 112
  5. 2022Q-ViT: Accurate and Fully Quantized Low-bit Vision Transformercited by 106
  6. 2023Memory-Efficient Fine-Tuning of Compressed Large Language Models via sub-4-bit Integer Quantizationcited by 97
  7. 2021Network Quantization with Element-wise Gradient Scalingcited by 82
  8. 2023Temporal Dynamic Quantization for Diffusion Modelscited by 81
  9. 2024BitDistiller: Unleashing the Potential of Sub-4-Bit LLMs via Self-Distillationcited by 80
  10. 2021Nonuniform-to-Uniform Quantization: Towards Accurate Quantization via Generalized Straight-Through Estimationcited by 78
  11. 2022PD-Quant: Post-Training Quantization based on Prediction Difference Metriccited by 73
  12. 2023QLLM: Accurate and Efficient Low-Bitwidth Quantization for Large Language Modelscited by 63
38 more
  1. 2022Mixed-Precision Neural Network Quantization via Learned Layer-wise Importancecited by 53
  2. 2022BiT: Robustly Binarized Multi-distilled Transformercited by 51
  3. 2023FlexRound: Learnable Rounding based on Element-wise Division for Post-Training Quantizationcited by 46
  4. 2021Differentiable Model Compression via Pseudo Quantization Noisecited by 44
  5. 2023Revisiting the Parameter Efficiency of Adapters from the Perspective of Precision Redundancycited by 44
  6. 2021IntraQ: Learning Synthetic Images with Intra-Class Heterogeneity for Zero-Shot Network Quantizationcited by 43
  7. 2022ANT: Exploiting Adaptive Numerical Data Type for Low-bit Deep Neural Network Quantizationcited by 42
  8. 2021Learnable Companding Quantization for Accurate Low-bit Neural Networkscited by 40
  9. 2022Hardware Approximate Techniques for Deep Neural Network Accelerators: A Surveycited by 39
  10. 2021MQBench: Towards Reproducible and Deployable Model Quantization Benchmarkcited by 38
  11. 2024Lightweight Deep Learning for Resource-Constrained Environments: A Surveycited by 38
  12. 2022Q-ViT: Fully Differentiable Quantization for Vision Transformercited by 36
  13. 2022NIPQ: Noise proxy-based Integrated Pseudo-Quantizationcited by 35
  14. 2023A Survey of Techniques for Optimizing Transformer Inferencecited by 35
  15. 2023Dynamic Perceiver for Efficient Visual Recognitioncited by 33
  16. 2021Distribution Adaptive INT8 Quantization for Training CNNscited by 27
  17. 2022SDQ: Stochastic Differentiable Quantization with Mixed Precisioncited by 27
  18. 2022CADyQ: Content-Aware Dynamic Quantization for Image Super-Resolutioncited by 26
  19. 2023Latency-aware Unified Dynamic Networks for Efficient Image Recognitioncited by 26
  20. 2021Distribution-sensitive Information Retention for Accurate Binary Neural Networkcited by 25
  21. 2021Sharpness-aware Quantization for Deep Neural Networkscited by 25
  22. 2021An Information-Theoretic Justification for Model Pruningcited by 23
  23. 2023Q-DETR: An Efficient Low-Bit Quantized Detection Transformercited by 23
  24. 2024Instance-Aware Group Quantization for Vision Transformerscited by 23
  25. 2024Mitigating the Impact of Outlier Channels for Language Model Quantization with Activation Regularizationcited by 23
  26. 2022Collaborative Multi-Teacher Knowledge Distillation for Learning Low Bit-width Deep Neural Networkscited by 22
  27. 2022EcoFormer: Energy-Saving Attention with Linear Complexitycited by 21
  28. 2021Bit-Mixer: Mixed-precision networks with runtime bit-width selectioncited by 20
  29. 2022Dynamic Dual Trainable Bounds for Ultra-low Precision Super-Resolution Networkscited by 20
  30. 2022It's All In the Teacher: Zero-Shot Quantization Brought Closer to the Teachercited by 20
  31. 2021CPT: Efficient Deep Neural Network Training via Cyclic Precisioncited by 19
  32. 2021Differentiable Dynamic Quantization with Mixed Precision and Adaptive Resolutioncited by 19
  33. 2021Distance-aware Quantizationcited by 19
  34. 2023RobustMQ: Benchmarking Robustness of Quantized Modelscited by 19
  35. 2023I&S-ViT: An Inclusive & Stable Method for Pushing the Limit of Post-Training ViTs Quantizationcited by 19
  36. 2024Lightweight Pixel Difference Networks for Efficient Visual Representation Learningcited by 17
  37. 2021Mesa: A Memory-saving Training Framework for Transformerscited by 16
  38. 2022Wavelet Feature Maps Compression for Image-to-Image CNNscited by 16

50 most cited of 157 All 157 (JSON)