Search Results for author: Guy Chavent

Found 2 papers, 0 papers with code

From explained variance of correlated components to PCA without orthogonality constraints

no code implementations7 Feb 2024 Marie Chavent, Guy Chavent

Block Principal Component Analysis (Block PCA) of a data matrix A, where loadings Z are determined by maximization of AZ 2 over unit norm orthogonal loadings, is difficult to use for the design of sparse PCA by 1 regularization, due to the difficulty of taking care of both the orthogonality constraint on loadings and the non differentiable 1 penalty.

Optimal Projected Variance Group-Sparse Block PCA

no code implementations1 May 2017 Marie Chavent, Guy Chavent

We address the problem of defining a group sparse formulation for Principal Components Analysis (PCA) - or its equivalent formulations as Low Rank approximation or Dictionary Learning problems - which achieves a compromise between maximizing the variance explained by the components and promoting sparsity of the loadings.

Dictionary Learning Retrieval

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