<p>Eight eigenvectors for the nonlinear dimensional mapping of 374,434 SNPs on the autosomes of 1,397 individuals from 11 populations by the LLE where the X axis represents an individual index in each population and the eight eigenvectors (low dimensional representations) were placed along the Y axis.</p
We present a mathematical model, and the corresponding mathematical analysis, that justifies and qua...
<p>Spatial Patterns of the Two Additional Eigenvectors and Moran’s I Values (maps are created by the...
<p>Spectrum of eigenvalues in the complex plane for DNA Google matrix of Homo sapiens (HS) shown fo...
<p>Three intervals along the y-axis ranging from −0.15 to 0.15 were used to represent the values of ...
<p><b>A.</b> Three eigenvectors in the eigenspace of zero eigenvalue for the nonlinear dimensional m...
<p>Top four panels for ASD subjects and bottom four panels for TD subjects in green trials.</p
<p>The horizontal axis represented SNP numbers per unigene. The vertical axis represented the number...
The 59 Principal Coordinates of Neighbor Matrices (PCNM) components are ranking from the higher (PCN...
<p>(A) The spectrum of the correlation matrix of a homogenous pseudo-population of 30 neurons, with ...
<p>(a) for each population over all autosomes; (b) for each autosome over all populations. The prima...
<p>Eigenvectors and eigenvalues for the principal component analysis of eight independent variables ...
<p>Spatial Patterns of the First Four Common Eigenvectors and their Moran’s I Values (maps are creat...
<p>Legend: Representation of eigenvalues with simulated data sets: six dimensions emerge (above the ...
<p>Plot of the first two principal components of a Y chromosome genetic distance matrix estimated fo...
<p>Plot of the RMS fluctuation of the 4 principal eigenvectors, for the DNA fragments including the ...
We present a mathematical model, and the corresponding mathematical analysis, that justifies and qua...
<p>Spatial Patterns of the Two Additional Eigenvectors and Moran’s I Values (maps are created by the...
<p>Spectrum of eigenvalues in the complex plane for DNA Google matrix of Homo sapiens (HS) shown fo...
<p>Three intervals along the y-axis ranging from −0.15 to 0.15 were used to represent the values of ...
<p><b>A.</b> Three eigenvectors in the eigenspace of zero eigenvalue for the nonlinear dimensional m...
<p>Top four panels for ASD subjects and bottom four panels for TD subjects in green trials.</p
<p>The horizontal axis represented SNP numbers per unigene. The vertical axis represented the number...
The 59 Principal Coordinates of Neighbor Matrices (PCNM) components are ranking from the higher (PCN...
<p>(A) The spectrum of the correlation matrix of a homogenous pseudo-population of 30 neurons, with ...
<p>(a) for each population over all autosomes; (b) for each autosome over all populations. The prima...
<p>Eigenvectors and eigenvalues for the principal component analysis of eight independent variables ...
<p>Spatial Patterns of the First Four Common Eigenvectors and their Moran’s I Values (maps are creat...
<p>Legend: Representation of eigenvalues with simulated data sets: six dimensions emerge (above the ...
<p>Plot of the first two principal components of a Y chromosome genetic distance matrix estimated fo...
<p>Plot of the RMS fluctuation of the 4 principal eigenvectors, for the DNA fragments including the ...
We present a mathematical model, and the corresponding mathematical analysis, that justifies and qua...
<p>Spatial Patterns of the Two Additional Eigenvectors and Moran’s I Values (maps are created by the...
<p>Spectrum of eigenvalues in the complex plane for DNA Google matrix of Homo sapiens (HS) shown fo...