This research establishes a novel unifying perspective between Quantum Machine Learning and Geometric Machine Learning, creating more powerful hybrid models for complex data analysis.

• Positions quantum computing as a specialized branch of geometric ML with enhanced expressivity
• Demonstrates improved performance in medical diagnostics through diabetic foot ulcer classification
• Applies hybrid quantum-classical approaches to structural health monitoring in engineering
• Offers a theoretical framework that respects the inherent geometry of both data and quantum systems

For healthcare organizations, this approach promises more accurate diagnostic tools while overcoming the limitations of traditional ML methods when handling complex medical data.

A Geometric-Aware Perspective and Beyond: Hybrid Quantum-Classical Machine Learning Methods