Vortex-Addressed Semantic Memory: Retrieval by Archetypal Geometry Rather Than Embedding Similarity

Key Points

• The aim is to explore memory retrieval mechanisms that utilize geometric structures instead of traditional embedding similarity.
• Implemented a closed-form product Fisher–Rao distance for memory retrieval
• Provided a verification of claims in the open-source harmonic-engine package
• Tested the projection metric in the conservation-manifold
• Verified the memory retrieval method numerically in the harmonic-engine package
• Confirmed the closed-form product Fisher–Rao distance for effective memory retrieval
• Test results indicate successful passing on CPU with the proposed methods