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For clustering trouble, You aren't permitted to utilize the implementation from scikit-study or import it and should post your personal implementation. Submit your code in Problem5.py. The submission for this homework ought to be one PDF file with remedies of idea troubles, figures, and any textual content explaining your results of programming difficulties by way of Gradescope and just one ‘zip‘ file that contains the entire pertinent code by way of Canvas. SVM & Kernel Approaches Difficulty 1 (ten details) In this problem we wish to compare the answers of challenging and comfortable SVMs on the linearly seperable dataset. Let n > one be a hard and fast variety. Can it be true that there exists C > 0 such that For each and every sample S of n coaching examples with binary label, which might be linearly separable, the hard-SVM and also the delicate-SVM (with parameter C) options will return exactly the same body weight vector.

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c) In AdaBoost, would you cease the iteration When the error fee of the current weak classifier over the weighted education data is 0?

The listing of hyperparameters and breif description of each and every hyperparameter you tuned in schooling, their default values, and the ultimate hyperparameter options you employ to get the finest result.

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Issue three (20 points) In this problem we intention at using the kerenl trick in Ridge regression and propose its kernalized Variation. Recall the Ridge regression teaching aim operate:

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