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Full-Text Articles in Physical Sciences and Mathematics
Reduced Row Echelon Form And Non-Linear Approximation For Subspace Segmentation And High-Dimensional Data Clustering, Akram Aldroubi, Ali Sekmen
Reduced Row Echelon Form And Non-Linear Approximation For Subspace Segmentation And High-Dimensional Data Clustering, Akram Aldroubi, Ali Sekmen
Computer Science Faculty Research
Given a set of data W={w1,…,wN}∈RD drawn from a union of subspaces, we focus on determining a nonlinear model of the form U=⋃i∈ISi, where {Si⊂RD}i∈I is a set of subspaces, that is nearest to W. The model is then used to classify W into clusters. Our approach is based on the binary reduced row echelon form of data matrix, combined with an iterative scheme based on a non-linear approximation method. We prove that, in absence of noise, our approach can find the number of subspaces, their dimensions, and an orthonormal basis for each subspace Si. We provide a comprehensive analysis …
Instrumental Music Ensemble At Tennessee State University: The Early Years (1912-1946), Reginald A. Mcdonald
Instrumental Music Ensemble At Tennessee State University: The Early Years (1912-1946), Reginald A. Mcdonald
The Journal of Tennessee State University
No abstract provided.
The Resilience Of One Tennessee State University Professor In Providing A Path To Excellence For Youths, Sean Daniels
The Resilience Of One Tennessee State University Professor In Providing A Path To Excellence For Youths, Sean Daniels
The Journal of Tennessee State University
No abstract provided.