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Robust PCA as Bilinear Decomposition with Outlier-Sparsity Regularization
Gonzalo Mateos, Georgios B. Giannakis
Principal component analysis (PCA) is widely used for dimensionality reduction, with well-documented merits in various applications involving high-dimensional data, including compu…
Robust Clustering Using Outlier-Sparsity Regularization
Pedro A. Forero, Vassilis Kekatos, Georgios B. Giannakis
Notwithstanding the popularity of conventional clustering algorithms such as K-means and probabilistic clustering, their clustering results are sensitive to the presence of outlier…
Robust Nonparametric Regression via Sparsity Control with Application to Load Curve Data Cleansing
Gonzalo Mateos, Georgios B. Giannakis
Nonparametric methods are widely applicable to statistical inference problems, since they rely on a few modeling assumptions. In this context, the fresh look advocated here permeat…