Quaternion Approximate Networks for Enhanced Image Classification and Oriented Object Detection
QUAN (Quaternion Approximate Networks) is a deep learning framework that approximates quaternion convolution via Hamilton product decomposition using real-valued operations, aiming to preserve geometric properties while enabling efficient implementation with custom CUDA kernels. The paper introduces Independent Quaternion Batch Normalization for training stability and extends quaternion operations to spatial attention. It is evaluated on CIFAR-10/100, ImageNet, COCO, DOTA, and robotic perception tasks, with reported gains in classification accuracy, parameter efficiency, and oriented detection relative to CNNs and quaternion baselines.
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QUAN (Quaternion Approximate Networks) is a deep learning framework that approximates quaternion convolution via Hamilton product decomposition using real-valued operations, aiming to preserve geometric properties while enabling efficient implementation with custom CUDA kernels. The paper introduces Independent Quaternion Batch Normalization for training stability and extends quaternion operations to spatial attention. It is evaluated on CIFAR-10/100, ImageNet, COCO, DOTA, and robotic perception tasks, with reported gains in classification accuracy, parameter efficiency, and oriented detection relative to CNNs and quaternion baselines.
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Key findings from the stored brief
- QUAN approximates quaternion convolution with real-valued operations via Hamilton product decomposition rather than operating entirely in the quaternion domain.
- The paper introduces Independent Quaternion Batch Normalization (IQBN) for training stability.
- Reported results include higher classification accuracy with fewer parameters and faster convergence than existing models.
- For object detection, the paper claims improved parameter efficiency and rotation handling over standard CNNs and SOTA for quaternion CNNs on the downstream task.
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Why this may matter
Rotation-aware perception matters for resource-constrained robotic systems. If the approximation holds up, QUAN offers a route to rotation-equivariant networks that can run on standard real-valued hardware and tooling.
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