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SYSTEMS AND METHODS FOR DETERMINING OPTIMAL PARAMETERS FOR DYNAMIC QUANTUM CLUSTERING ANALYSES

United States Patent Application

20150046457
A1
View the Complete Application at the US Patent & Trademark Office
In the present work, quantum clustering is extended to provide a dynamical approach for data clustering using a time-dependent Schrodinger equation. To expedite computations, we can approximate the time-dependent Hamiltonian formalism by a truncated calculation within a set of Gaussian wave-functions (coherent states) centered around the original points. This allows for analytic evaluation of the time evolution of all such states, opening up the possibility of exploration of relationships among data points through observation of varying dynamical-distances among points and convergence of points into clusters. This formalism may be further supplemented by preprocessing, such as dimensional reduction through singular value decomposition and/or feature filtering. Additionally, the parameters of the analysis can be modified in order to improve the efficiency of the dynamic quantum clustering processes.
Weinstein, Marvin (Palo Alto, CA), Horn, David (Tel Aviv, IL)
The Board of Trustees of the Leland Stanford Junior Unviersity
14/ 492,677
September 22, 2014
GOVERNMENT SPONSORSHIP [0002] This invention was made with US government support under contract number DE-AC02-765F00515 awarded by the Department of Energy. The government has certain rights in this invention.