Please give me correct solution. πk= =8. Derive the EM algorithm for estimating the Gaussian mixture model p(X; 0)Σk_1 TkN (X; µk, Σk), where is the mixture weight with π ≥ 0 and Σk_₁ T 1, param-eters 0 = {Tk, Mk, k}_1, and N(x; µk, Ek) denotes the value of the Gaussian probabilitydensity function with mean μ and covariance matrix Σ evaluated at X = x. In the deriva-tion, first write down the Q function (the E step), and then derive the parameter updaterules by maximizing the Q function (the M step). You may resort to any material, but pleasewrite down your answer. (L + L)

Given: Gaussian mixture model:- pX,θ=∑k=1K∏kNx,μk,∑kwhere,∏k=mixture weight, ∏k≥0 and ∑k=1K∏k=1…

K K 8. Derive the EM algorithm for estimating the Gaussian mixture model p(X;0) Σk≤1 TkN (x; µk, Σk), where is the mixture weight with ™ ≥ 0 and Σk-₁ Tk = 1, param- eters 0 = {k, k, Σk}_1, and N(x; µk, Σk) denotes the value of the Gaussian probability density function with mean µ and covariance matrix Σ evaluated at X = x. In the deriva- tion, first write down the Q function (the E step), and then derive the parameter update rules by maximizing the Q function (the M step). You may resort to any material, but please write down your answer. (L + L)

K K 8. Derive the EM algorithm for estimating the Gaussian mixture model p(X;0) Σk≤1 TkN (x; µk, Σk), where is the mixture weight with ™ ≥ 0 and Σk-₁ Tk = 1, param- eters 0 = {k, k, Σk}_1, and N(x; µk, Σk) denotes the value of the Gaussian probability density function with mean µ and covariance matrix Σ evaluated at X = x. In the deriva- tion, first write down the Q function (the E step), and then derive the parameter update rules by maximizing the Q function (the M step). You may resort to any material, but please write down your answer. (L + L)

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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