Abstract
A Principal Component Analysis is defined for finite metric spaces of L 1-type. For different L 1-criteria, the existence of a solution is proved and a combinatorial algorithm based upon linear programming and graph searching techniques yields such a solution. The efficiency of the algorithm strongly depends not only on the size of the data but also on their nature and on the chosen criterion.
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Benayade, M., Fichet, B. (1994). Algorithms for a geometrical P.C.A. with the L 1-norm. In: Diday, E., Lechevallier, Y., Schader, M., Bertrand, P., Burtschy, B. (eds) New Approaches in Classification and Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51175-2_7
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DOI: https://doi.org/10.1007/978-3-642-51175-2_7
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