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Quantized Convolutional Neural Networks Robustness under Perturbation
Jack Langille1, Issam Hammad1, Guy Kember1
1Department of Engineering Mathematics and Internetworking, Dalhousie University, Halifax, Nova Scotia, Canada.
Quantized convolutional neural networks (CNNs) maintain performance under input perturbations, with low relative error. Kullback-Liebler divergence reveals minimal changes, except for Brownian noise effects on VGG-16 and SqueezeNet1_1.
Area of Science:
- Computer Science
- Artificial Intelligence
- Machine Learning
Background:
- Machine learning models face compute limitations due to size and operations.
- Quantization reduces model size and computational needs by using lower-precision integers.
- Existing research confirms quantized models match full-precision performance but lacks analysis under input perturbations.
Purpose of the Study:
- To investigate the performance of 8-bit quantized convolutional neural networks (CNNs) under perturbed input conditions.
- To address the gap in literature regarding the robustness of quantized models in noisy environments.
- To evaluate the impact of input perturbations on model accuracy and output distribution similarity.
Main Methods:
- Studied three CNNs (ResNet-18, VGG-16, SqueezeNet1_1) in both floating-point and 8-bit quantized forms.
- Applied various noise regimes with different intensities to model inputs.
- Measured performance using top-1/top-5 accuracy, F1 score, and introduced Kullback-Liebler divergence to assess output distribution changes.
Main Results:
- Quantized models exhibited consistently low relative error compared to full-precision counterparts across all tested perturbations.
- Kullback-Liebler divergence remained comparable to unperturbed tests, indicating stable decision-making similarity.
- Significant divergences in output distributions were observed for VGG-16 and SqueezeNet1_1 specifically under Brownian noise perturbations.
Conclusions:
- 8-bit quantized CNNs demonstrate robustness and maintain performance consistency even when subjected to input noise.
- Kullback-Liebler divergence is a valuable metric for quantifying the impact of quantization on model output similarity under stress.
- While generally robust, specific models and noise types (e.g., Brownian noise) warrant further investigation for potential vulnerabilities.
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