![]() ![]() The fundamental question is:Ĭan I inadvertently reduce the rank (the dimensionality) of the data matrix? ![]() ![]() Rather than lecture, let me ask and answer some questions. I have stumbled across a tricky point in the preprocessing of data. abstract algebra adjoint and/or transpose algebraic topology attitude and/or transition matrices Bartholomew et al Basilevsky books Brereton calculus change of basis classical mechanics Cohen color ColorSync Utility control theory coordinate transformations correlation Davis differential geometry DigitalColor Meter dynamical systems eigenvector euler characteristic euler number Fourier games geometry graph theory group theory Harman ICC profiles Jolliffe latex linear algebra linear programming logic Malinowski manifolds mars math mathematics math models matrix exponential McMahon multicollinearity ODE ordinary differential equations OLS ordinary least squares regression orbital mechanics orthogonal PCA FA principal components factor analysis poker preprocessing probability pseudo-inverse puzzle QM quantum mechanics quaternions questions reciprocal basis dual basis Rip rotations Schiff schur similar similarity simplex simplices SN or NS decomposition surfaces SVD singular value decomposition SVD singular value decomposition linear algebra target testing time series topology triangulations trusses wavelets. ![]()
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