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Mixed precision quantization based on information entropy.

Ting Qin1, Zhao Li2, Jiaqi Zhao1

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|April 15, 2025
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Summary
This summary is machine-generated.

This study introduces an information entropy-based method for mixed precision quantization, optimizing bit allocation to reduce model size and computational cost. The approach effectively minimizes accuracy loss, achieving significant compression with minimal performance degradation.

Keywords:
Information entropyKnowledge distillationMixed precision quantizationModel compressionSliding window

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Area of Science:

  • Computer Science
  • Artificial Intelligence
  • Machine Learning

Background:

  • Mixed precision quantization reduces computational and memory demands by decreasing model bit width.
  • Improper bit-width allocation in quantization can lead to wasted resources and reduced model performance.

Purpose of the Study:

  • To propose an adaptive bit-width allocation method for mixed precision quantization using information entropy.
  • To mitigate precision loss and optimize resource utilization during model compression.
  • To automate bit-width allocation while maintaining high model accuracy.

Main Methods:

  • Calculating layer output entropy during the forward pass and smoothing values with a sliding window.
  • Dynamically determining a bit-width threshold based on smoothed average entropy for adaptive layer-wise allocation.
  • Utilizing Optuna for hyperparameter optimization (threshold and window size) with model accuracy as a constraint.
  • Integrating knowledge distillation with a larger teacher model to guide the training of the quantized model.

Main Results:

  • Successfully reduced model bit width for weights and activations to 3.6M/3.6MP on ResNet architectures.
  • Achieved minimal accuracy loss (max 0.6%) on CIFAR-100 and comparable accuracy to full-precision models on CIFAR-10.
  • Demonstrated effective balancing of model compression and performance.

Conclusions:

  • The proposed information entropy-based method effectively optimizes mixed precision quantization.
  • Adaptive bit-width allocation significantly reduces model size and computational requirements without compromising accuracy.
  • Knowledge distillation further enhances the performance of the compressed models.