SVD and Image Compression
... VQ the factors W and H can be positive or negative even if the input matrix is all positive. Basis vectors may contain negative components that prevent similar visualization. - In NMF the algorithm result in parts-based representation of the original data.Whereas VQ and PCA result in holistic repres ...
... VQ the factors W and H can be positive or negative even if the input matrix is all positive. Basis vectors may contain negative components that prevent similar visualization. - In NMF the algorithm result in parts-based representation of the original data.Whereas VQ and PCA result in holistic repres ...
Vector space Definition (over reals) A set X is called a vector space
... where δij = 1 if i = j, 0 otherwise. Eigenvalues and eigenvectors Definition Given a matrix M , the real value λ and (non-zero) vector x are an eigenvalue and corresponding eigenvector of M if M x = λx Spectral decomposition • Given an n × n symmetric matrix M , it is possible to find an orthonormal ...
... where δij = 1 if i = j, 0 otherwise. Eigenvalues and eigenvectors Definition Given a matrix M , the real value λ and (non-zero) vector x are an eigenvalue and corresponding eigenvector of M if M x = λx Spectral decomposition • Given an n × n symmetric matrix M , it is possible to find an orthonormal ...
