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Fair PCA, One Component at a Time
Antonis Matakos, Martino Ciaperoni, Heikki Mannila
The Min-Max Fair PCA problem seeks a low-rank representation of multi-group data such that the the approximation error is as balanced as possible across groups. Existing approaches…
Fair Column Subset Selection
Antonis Matakos, Bruno Ordozgoiti, Suhas Thejaswi
The problem of column subset selection asks for a subset of columns from an input matrix such that the matrix can be reconstructed as accurately as possible within the span of the…
Generalized Leverage Scores: Geometric Interpretation and Applications
Bruno Ordozgoiti, Antonis Matakos, Aristides Gionis
In problems involving matrix computations, the concept of leverage has found a large number of applications. In particular, leverage scores, which relate the columns of a matrix to…