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We consider this 1-dimensional dataset: 0.7; 0.9; 1.6; 2.5; 3.4. We consider the same 1-dimensional dataset as the previous question. But we apply Expectation Maximization (EM) soft clustering for k=2. EM includes many iterations as: E-step; M-step; E-step; M-step; E-step; M-step; ... until it converges. 1. We initially choose two Gaussian distributions: N(u=0.7, o²-1) for soft cluster 1 and N(μ=0.9,0²-1) for soft cluster 2. We also choose П₁=0.3, П2=0.7. What are the normalized values of Pk,n after the 1st E-step? Note: since P1,n+P2,n=1 after normalization, you only need to show P1,n. The Gaussian probability density values are given here: N(0.7.1x) N(0.9.1)(x,) 0.39104 Xn 0.7 0.39894 0.9 0.39104 0.39894 1.6 0.26609 0.31225 2.5 0.07895 0.11092 3.4 0.01042 0.01753 Display three decimal values in all following blanks. If you use different number of decimal values, Canvas might treat it as wrong. P1,1 type your answer... P1,2 type your answer... ° P1,3 type your answer... P1,4 type your answer... 。 P1,5 type your answer... 2. Based on the normalized P1,n, what are the updated values of the following after the 1st M-step? When you plug in the values of p1,n in the formulas, please don't truncated the three decimal values, but the original values you obtained. When you display the final results in all following blanks, display only three decimal values. If you use different number of decimal values, Canvas might treat it as wrong. 。 π₁ = type your answer... H1 type your answer.... о 0₁2= type your answer...

We consider this 1-dimensional dataset: 0.7; 0.9; 1.6; 2.5; 3.4. We consider the same 1-dimensional dataset as the previous question. But we apply Expectation Maximization (EM) soft clustering for k=2. EM includes many iterations as: E-step; M-step; E-step; M-step; E-step; M-step; ... until it converges. 1. We initially choose two Gaussian distributions: N(u=0.7, o²-1) for soft cluster 1 and N(μ=0.9,0²-1) for soft cluster 2. We also choose П₁=0.3, П2=0.7. What are the normalized values of Pk,n after the 1st E-step? Note: since P1,n+P2,n=1 after normalization, you only need to show P1,n. The Gaussian probability density values are given here: N(0.7.1x) N(0.9.1)(x,) 0.39104 Xn 0.7 0.39894 0.9 0.39104 0.39894 1.6 0.26609 0.31225 2.5 0.07895 0.11092 3.4 0.01042 0.01753 Display three decimal values in all following blanks. If you use different number of decimal values, Canvas might treat it as wrong. P1,1 type your answer... P1,2 type your answer... ° P1,3 type your answer... P1,4 type your answer... 。 P1,5 type your answer... 2. Based on the normalized P1,n, what are the updated values of the following after the 1st M-step? When you plug in the values of p1,n in the formulas, please don't truncated the three decimal values, but the original values you obtained. When you display the final results in all following blanks, display only three decimal values. If you use different number of decimal values, Canvas might treat it as wrong. 。 π₁ = type your answer... H1 type your answer.... о 0₁2= type your answer...

Database System Concepts
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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We consider this 1-dimensional dataset: 0.7; 0.9; 1.6; 2.5; 3.4. We consider the same 1-dimensional dataset as the previous question. But we apply Expectation Maximization (EM) soft clustering for k=2. EM includes many iterations as: E-step; M-step; E-step; M-step; E-step; M-step; ... until it converges. 1. We initially choose two Gaussian distributions: N(u=0.7, o²-1) for soft cluster 1 and N(μ=0.9,0²-1) for soft cluster 2. We also choose П₁=0.3, П2=0.7. What are the normalized values of Pk,n after the 1st E-step? Note: since P1,n+P2,n=1 after normalization, you only need to show P1,n. The Gaussian probability density values are given here: N(0.7.1x) N(0.9.1)(x,) 0.39104 Xn 0.7 0.39894 0.9 0.39104 0.39894 1.6 0.26609 0.31225 2.5 0.07895 0.11092 3.4 0.01042 0.01753 Display three decimal values in all following blanks. If you use different number of decimal values, Canvas might treat it as wrong. P1,1 type your answer... P1,2 type your answer... ° P1,3 type your answer... P1,4 type your answer... 。 P1,5 type your answer... 2. Based on the normalized P1,n, what are the updated values of the following after the 1st M-step? When you plug in the values of p1,n in the formulas, please don't truncated the three decimal values, but the original values you obtained. When you display the final results in all following blanks, display only three decimal values. If you use different number of decimal values, Canvas might treat it as wrong. 。 π₁ = type your answer... H1 type your answer.... о 0₁2= type your answer...
Transcribed Image Text:We consider this 1-dimensional dataset: 0.7; 0.9; 1.6; 2.5; 3.4. We consider the same 1-dimensional dataset as the previous question. But we apply Expectation Maximization (EM) soft clustering for k=2. EM includes many iterations as: E-step; M-step; E-step; M-step; E-step; M-step; ... until it converges. 1. We initially choose two Gaussian distributions: N(u=0.7, o²-1) for soft cluster 1 and N(μ=0.9,0²-1) for soft cluster 2. We also choose П₁=0.3, П2=0.7. What are the normalized values of Pk,n after the 1st E-step? Note: since P1,n+P2,n=1 after normalization, you only need to show P1,n. The Gaussian probability density values are given here: N(0.7.1x) N(0.9.1)(x,) 0.39104 Xn 0.7 0.39894 0.9 0.39104 0.39894 1.6 0.26609 0.31225 2.5 0.07895 0.11092 3.4 0.01042 0.01753 Display three decimal values in all following blanks. If you use different number of decimal values, Canvas might treat it as wrong. P1,1 type your answer... P1,2 type your answer... ° P1,3 type your answer... P1,4 type your answer... 。 P1,5 type your answer... 2. Based on the normalized P1,n, what are the updated values of the following after the 1st M-step? When you plug in the values of p1,n in the formulas, please don't truncated the three decimal values, but the original values you obtained. When you display the final results in all following blanks, display only three decimal values. If you use different number of decimal values, Canvas might treat it as wrong. 。 π₁ = type your answer... H1 type your answer.... о 0₁2= type your answer...
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