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Support vector machine skin lesion classification in Clifford algebra subspaces

Mutlu Akar; Nikolay Metodiev Sirakov — 2019

Applications of Mathematics

The present study develops the Clifford algebra ${Cl}_{5, 0}$ within a dermatological task to diagnose skin melanoma using images of skin lesions, which are modeled here by means of 5D lesion feature vectors (LFVs). The LFV is a numerical approximation of the most used clinical rule for melanoma diagnosis - ABCD. To generate the ${Cl}_{5, 0}$ we develop a new formula that uses the entries of a 5D vector to calculate the entries of a 32D multivector. This vector provides a natural mapping of the original 5D vector onto...

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