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    AI ASSIGNMENT REPORT

    Ayush Agarwal

    201001107

    Q1

    Dimension = 20

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    Dimension = 10

    Dimension = 2

    As the dimension increase the accuracy increases and the recognazibility also increases.

    Dimension Acuuracy

    2 30.8%

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    10 95.8%

    20 99.5%

    As we can observe that when we take 2 dimensions the accuracy is very low and when the dimension

    equal to 10 then the accuracy increases by huge amount and after this the accuracy increases very less.

    It saturate because eigen vector are sorted by their values (weight of vectors) which contributes to the

    feature vectors thats why the accuracy after top 10 vectors increase very less.

    Q2 : MEAN FACE

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    Q3 :A & B SAMPLE IMAGE 1

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    The original image is from input dataset .

    Here we can observe that as the d value increases the RMSE value decreases and recognizability also

    increases because increasing d mean we are using more eigen vectors to reconstruct our image

    therefore the eigen vectors which have less eigen value or weight also included in reconstruction

    therefore the information loss in reconstruction is very less which is shown by decreasing value of RMSE.

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    As the d increases the RMSE decreases because as the information for reconstruction increases the error

    in reconstructing image also decreases.

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    SAMPLE IMAGE 2

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    This image is my face image which is present in the dataset.

    We can observe that the same as in above sample image but in this sample the recognizibility is very

    less because of the less illumination and some unwanted region ( background) in the input image and

    the other which are present in the dataset.

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    SAMPLE IMAGE 3

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    This image is not present in the input dataset.

    Here we can observe same relation between the d and RMSE value as in the above two sample images.

    But in the above two sample the RMSE values are lower than as compare to this sample because image

    of this person is not present in the input dataset. Hence the recognazibility of the person is also low as it

    reconstructing the nearest image or which have minimum distance from the feature vector of the givenimage.

    Inserted only three samples from the each sample image , the other image form d 1 to 15 is present in

    the folder ( sample1, sample2 ,sample3)

    C.

    Input Image

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    We can observe that as the masking image size increases the reconstructed image recognazibility

    decreases because of the loss of features of the input image.

    It reconstruct the feature vector in to image which is nearest to the input image feature vector in

    feature space.

    D.

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    In this case the input image is of tree but we have trained our system using faces only therefore when

    we extract features from the input image and represent it in low dimension feature space it calculate

    the feature vector in the space and reconstruct the image. Therefore the reconstructed image is a face.

    The difference in the reconstructed image of this from the above one Is because of the features (we can

    see that in above input image the mean color intensity is low but in this image the mean color intensity is

    high therefore the reconstructed face is bright as compare to the above reconstructed face).

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    In all the above sample we can observe that all the object are reconstructed into face image which is

    obvious because we trained our system with face images and in our feature space all the features vector

    correspond to the face image, and when we reconstruct the image from the feature vector of any input

    image it somehow give the mean face or near to the mean face.

    E.

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    We trained the system using only one image of the person without spectacles that why the

    recognazibility of the reconstructed image is very less and the RMSE is very high.

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    We trained the system using only one image of the person without spectacles that why the

    recognazibility of the reconstructed image is very less and the RMSE is very high.

    We can also observe that because of the sunglasses the face reconstructe have low intensity in the eye

    region as compare to above image.