query: Orthogonality in PCA vectors
positive_passages.docid: 9286
positive_passages.text: Questions on PCA: when are PCs independent? why is PCA sensitive to scaling? why are PCs constrained to be orthogonal?
negative_passages.docid: 133609
negative_passages.text: orthonormal system in a Hilbert space
negative_passages.docid: 117085
negative_passages.text: Linear Discriminant Analysis for $p=1$
negative_passages.docid: 35625
negative_passages.text: Direct sum of orthogonal subspaces
negative_passages.docid: 29381
negative_passages.text: How to perform dimensionality reduction with PCA in R
negative_passages.docid: 55847
negative_passages.text: PCA demeaning the data
negative_passages.docid: 154261
negative_passages.text: PCA when the dimensionality is greater than the number of samples
negative_passages.docid: 81049
negative_passages.text: What norm of the reconstruction error is minimized by the low-rank approximation matrix obtained with PCA?
negative_passages.docid: 4244
negative_passages.text: How to compute PCA scores from eigendecomposition of the covariance matrix?
negative_passages.docid: 113326
negative_passages.text: Proving orthogonality of vectors in a complex vector space
negative_passages.docid: 65888
negative_passages.text: A counterexample to theorem about orthogonal projection
negative_passages.docid: 113779
negative_passages.text: If $P$ is an orthogonal matrix its columns form an orthonormal set.
negative_passages.docid: 108505
negative_passages.text: Matrix Concentration for Products- Orthogonality Property
negative_passages.docid: 90691
negative_passages.text: Linear independence of vectors over larger fields
negative_passages.docid: 41608
negative_passages.text: Weighted principal components analysis
negative_passages.docid: 39430
negative_passages.text: Orthogonal matrix and orthonormal columns
negative_passages.docid: 14181
negative_passages.text: Can averaging all the variables be seen as a crude form of PCA?