### Method for discovering relationships in data by dynamic quantum clustering

- 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

Works referenced in this record:

Method and apparatus for quantum clustering

patent-application, June 2004

patent-application, June 2004

- Horn, David; Gottlieb, Assaf; Axel, Inon
- US Patent Document 10/474508; 20040117403

Identifying Related Objects Using Quantum Clustering

patent-application, March 2008

patent-application, March 2008

- Roitblat, Herbert L.; Golbere, Brian
- US Patent Document 11/848603; 20080059512

Quantum Clustering Algorithm based on Exponent Measuring Distance

conference, December 2008

conference, December 2008

- Yao, Zhang; Peng, Wang; Gao-yun, Chen
- Knowledge Acquisition and Modeling Workshop, 2008. KAM Workshop 2008. IEEE International Symposium on

Algorithm for Data Clustering in Pattern Recognition Problems Based on Quantum Mechanics

journal, December 2001

journal, December 2001

- Horn, David; Gottlieb, Assaf
- Physical Review Letters, Vol. 88, Issue 1, Article No. 018702

Diffusion maps and coarse-graining: a unified framework for dimensionality reduction, graph partitioning, and data set parameterization

journal, September 2006

journal, September 2006

- Lafon, S.; Lee, A. B.
- IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 28, Issue 9, p. 1393-1403

Diffusion maps, spectral clustering and reaction coordinates of dynamical systems

journal, July 2006

journal, July 2006

- Nadler, Boaz; Lafon, Stéphane; Coifman, Ronald R.
- Applied and Computational Harmonic Analysis, Vol. 21, Issue 1, p. 113-127

Geometric diffusions as a tool for harmonic analysis and structure definition of data: Multiscale methods

journal, May 2005

journal, May 2005

- Coifman, R. R.; Lafon, S.; Lee, A. B.
- Proceedings of the National Academy of Sciences, Vol. 102, Issue 21, p. 7432-7437