Data clustering with quantum mechanics

DOI10.3390/math5010005zbMath1367.81009OpenAlexW2567937288MaRDI QIDQ2358235

Yanyan Li

Publication date: 22 June 2017

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math5010005

zbMATH Keywords

MATLABcomputational quantum mechanicsMeila-Shi algorithmquantum clustering

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Clustering in the social and behavioral sciences (91C20) Computational methods for problems pertaining to quantum theory (81-08)

Uses Software

• Matlab
• PROPACK
• PRIMME
• TMG
• JDQZ

Cites Work

• PRIMME
• Maximin clusters for near-replicate regression lack of fit tests
• Fast low-rank modifications of the thin singular value decomposition
• Eigenvalues of rank-one updated matrices with some applications
• A Brief Survey of Bandwidth Selection for Density Estimation
• Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps
• Applied Probability and Queues
• Least squares quantization in PCM
• N.N. Bogolyubov and statistical mechanics
• A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
• Computational Science - ICCS 2004
• A Fuzzy Relative of the ISODATA Process and Its Use in Detecting Compact Well-Separated Clusters
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