Text: Question 2 (25 points). This is precisely the homework problem from section 1.5. You need to use several techniques employing persistent homology such as Betti numbers and persistence barcodes with respect to specific filtrations (chosen by you) in dimensions 0 and to create a complete classification of the letters from Question 1. See a suggestion on how to organize your classification scheme in the lecture from 1.5. Iu Om 23 Letters Caeical Jadin Ato 2i IUny T ULW QT: Raumt dt Ratin hus 2G_alphabets A~z A B D 4 Bee Cee dee G& alel ac' k H 4 ~ kay 22 Cl R S ar es Vee er Zee W adde4 double-U Jol
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Choose a filtration: We can choose a filtration based on the distance function between the points in the letter. For example, we can use the Euclidean distance between the pixels in the image of the letter. Show more…
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