Assignment 4

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New York University *

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6143

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Mathematics

Date

Jan 9, 2024

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docx

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Uploaded by HighnessCobraMaster699

Assignment - 4 1. Download the "teapots.mat" dataset containing 100 images of teapots of size 38*50. To view an image, say the second one in the data set type: imagesc(reshape(teapotImages(2,:),38,50)); colormap gray; Compute the data mean and top 3 eigenvectors of the data covvariance matrix and show them as images. Reconstruct the data using PCA with least squares error using only the mean and a linear combination of the top 3 eigenvectors. Show 10 different images before and after reconstruction. Discuss results. Solution: The top 3 eigen values : [4.21502173 3.01675861 2.09930086] The image for mean value:

For top most eigen value: For 2 nd top eigen value: For 3 rd top eigen value:

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Assignment 4

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