42 citations · 237 across the 36 of their papers we have counts for
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math.ST2023
Measure of shape for object data
Joni Virta
Object data analysis is concerned with statistical methodology for datasets whose elements reside in an arbitrary, unspecified metric space. In this work we propose the object shap…
math.ST2023
Structure-preserving non-linear PCA for matrices
Joni Virta, Andreas Artemiou
We propose MNPCA, a novel non-linear generalization of (2D){PCA}, a classical linear method for the simultaneous dimension reduction of both rows and columns of a set of matrix…
math.ST2023
Spatial depth for data in metric spaces
Joni Virta
We propose a novel measure of statistical depth, the metric spatial depth, for data residing in an arbitrary metric space. The measure assigns high (low) values for points located…