arXiv Computer Vision By Bryce Grant, Peng Wang

Quaternion Approximate Networks for Enhanced Image Classification and Oriented Object Detection

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Quaternion Approximate Networks (QUAN) is a deep learning framework that uses quaternion algebra to achieve rotation equivariant image classification and object detection. QUAN approximates quaternion convolution via Hamilton product decomposition with real-valued operations, enabling efficient CUDA implementation and preserving geometric properties. The method introduces Independent Quaternion Batch Normalization and extends quaternion operations to spatial attention, achieving higher accuracy, faster convergence, and improved parameter efficiency on CIFAR, ImageNet, COCO, and DOTA benchmarks compared to conventional CNNs and other quaternion models.

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