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Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
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WaveCNet: Wavelet Integrated CNNs to Suppress Aliasing Effect for Noise-Robust Image Classification.

Qiufu Li, Linlin Shen, Sheng Guo

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
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    Wavelet transforms enhance convolutional neural networks (CNNs) for image classification. Wavelet integrated CNNs (WaveCNets) improve noise and adversarial robustness by decomposing feature maps, boosting accuracy on challenging datasets.

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    Area of Science:

    • Computer Vision
    • Machine Learning
    • Signal Processing

    Background:

    • Convolutional Neural Networks (CNNs) are susceptible to noise, impacting image classification accuracy.
    • Traditional down-sampling methods in CNNs can amplify noise and reduce robustness.
    • Integrating wavelet transforms offers a potential solution for enhancing CNN noise resilience.

    Purpose of the Study:

    • To develop novel discrete wavelet transform (DWT) and inverse DWT (IDWT) layers for CNNs.
    • To design and evaluate Wavelet integrated CNNs (WaveCNets) for improved noise and adversarial robustness.
    • To assess the impact of WaveCNets on object detection performance.

    Main Methods:

    • Proposed general DWT/IDWT layers compatible with various wavelet types (Haar, Daubechies, Cohen).
    • Integrated DWT into established CNN architectures (VGG, ResNets, DenseNet) to create WaveCNets.
    • Replaced standard down-sampling with DWT to decompose feature maps into low and high-frequency components.

    Main Results:

    • WaveCNets demonstrated superior accuracy on ImageNet compared to standard CNNs.
    • Significant improvements in noise-robustness and adversarial robustness were observed on ImageNet-C and adversarial attack datasets.
    • Object detection models (Faster R-CNN, RetinaNet) using WaveCNets as backbones showed consistent performance gains on the COCO dataset.

    Conclusions:

    • The proposed DWT/IDWT layers effectively enhance CNNs' noise and adversarial robustness.
    • WaveCNets offer a promising approach for developing more resilient deep learning models for image analysis.
    • Separating low and high-frequency information via DWT is key to mitigating aliasing effects and improving feature representation.