CVIVSPJul 1, 2025

Biorthogonal Tunable Wavelet Unit with Lifting Scheme in Convolutional Neural Network

arXiv:2507.00739v12 citationsh-index: 3EUSIPCO
Originality Incremental advance
AI Analysis

This work addresses the need for more flexible filter design in CNNs to capture fine-grained details, primarily benefiting researchers and practitioners in computer vision, though it appears incremental as it builds on existing wavelet and CNN methods.

This paper tackled the problem of improving image classification and anomaly detection in CNNs by introducing a biorthogonal tunable wavelet unit with a lifting scheme, which enhanced convolution, pooling, and downsampling operations. The result was a 2.12% accuracy improvement on CIFAR-10 and 9.73% on DTD with ResNet-18, along with competitive performance in anomaly detection on the MVTec dataset.

This work introduces a novel biorthogonal tunable wavelet unit constructed using a lifting scheme that relaxes both the orthogonality and equal filter length constraints, providing greater flexibility in filter design. The proposed unit enhances convolution, pooling, and downsampling operations, leading to improved image classification and anomaly detection in convolutional neural networks (CNN). When integrated into an 18-layer residual neural network (ResNet-18), the approach improved classification accuracy on CIFAR-10 by 2.12% and on the Describable Textures Dataset (DTD) by 9.73%, demonstrating its effectiveness in capturing fine-grained details. Similar improvements were observed in ResNet-34. For anomaly detection in the hazelnut category of the MVTec Anomaly Detection dataset, the proposed method achieved competitive and wellbalanced performance in both segmentation and detection tasks, outperforming existing approaches in terms of accuracy and robustness.

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