Low Rank Support Quaternion Matrix Machine

arXiv — stat.MLWednesday, December 10, 2025 at 5:00:00 AM
  • The Low-rank Support Quaternion Matrix Machine (LSQMM) has been introduced as a novel classification method for color image classification, utilizing quaternion algebra to maintain the intrinsic relationships among RGB channels. This approach incorporates a quaternion nuclear norm regularization term into the hinge loss, enhancing the model's performance in handling strongly correlated color channels.
  • This development is significant as it represents a step forward in image classification techniques, particularly for color images, by leveraging quaternion data modeling, which has previously shown promise in image recovery and denoising tasks.
  • The introduction of LSQMM aligns with ongoing advancements in image processing and machine learning, where models are increasingly designed to address complex challenges such as noise reduction and feature extraction. This trend is reflected in various recent innovations, including unified models for image quality assessment and efficient algorithms for tensor estimation, highlighting a broader movement towards integrating advanced mathematical frameworks in AI applications.
— via World Pulse Now AI Editorial System

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