Dimensionality Reduction and Its F-Transform Representation

Jiřı́ Janeček, Irina Perfilieva · 2019

The aim of this contribution is to connect two techniques: the F-transform on a space with a fuzzy partition and dimensionality reduction.We show how a space with a fuzzy partition can be characterized in terms of the graph Laplacian.After making the spectral analysis of the corresponding Laplacian matrix we compute its eigenvectors and show their relevance to the F-transform basic functions.

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