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Title: Method for discovering relationships in data by dynamic quantum clustering

Data clustering is provided according to a dynamical framework based on quantum mechanical time evolution of states corresponding to data points. 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.
Inventors:
;
Issue Date:
OSTI Identifier:
1162103
Assignee:
The Board of Trustees of the Leland Stanford Junior University (Palo Alto, CA) SLAC
Patent Number(s):
8,874,412
Application Number:
12/586,036
Contract Number:
AC02-76SF00515
Resource Relation:
Patent File Date: 2009 Sep 15
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

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