Hopfield network requires that state vectors of images to be orthogonal to eliminate cross-talk. In practical sense, it cannot be achieved. A solution is to orthogonalize the state vectors with each other as a pre-processing. The QMS (Quantum Morphogenetic System) is a mathematical model devised to give a different more elegant and intuitive perspective of the pre-processing by assuming a non-Euclidean geometry. Input image is projected to the feature vector in terms of its contra-variant components which are interdependent. Image reconstruction is achieved by parallelogram summation of the vector of those components. Besides, an extension to Holonomic brain model and tensor network theory is discussed.
['Germano Resconi', 'Chu Kiong Loo', 'Nuo Wi Noel Tay']
Quantum Morphogenetic System in image recognition