▷ Exercise 20.3. [3, p. 291] Explore the properties of the soft K-means algorithm, version 1, assuming that the datapoints {x} come from a single separable two-dimensional Gaussian distribution with mean zero and variances (var(x₁), var(x2)) = (0,02), with o> o. Set K = 2, assume N is large, and investigate the fixed points of the algorithm as 3 is varied. [Hint: assume that m(¹) = (m, 0) and m (2) = (-m, 0).] =
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