Question 1

Consider a clustering problem with Figure from the original question paper data-points and two clusters Figure from the original question paper . As initialization, a subset of the dataset comprising the first fifty data-points, call this Figure from the original question paper , are assigned to cluster Figure from the original question paper and the remaining points, call this Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper Figure from the original question paper Consider a polynomial kernel of degree Figure from the original question paper on a feature space of dimension Figure from the original question paper . How many features will the transformed space have Figure from the original question paper Consider the Gaussian kernel, Figure from the original question paper with Figure from the original question paper . Compute the value of Figure from the original question paper and enter your answer correct to two decimal places.