Question
Consider a dataset of six points given in the following table, each of which has two features f1 and f2 . Assuming the values of the parameters c and m as 2 and the initial cluster centers v1 = (5,5 ) and v2 (10 ,10, ) , apply FCm algorithm to find the new cluster center after one iteration.
|
| f1 | f 2 |
| x1 | 3 | 11 |
| x 2 | 3 | 10 |
| x3 | 8 | 12 |
| x 4 | 10 | 6 |
| x5 | 13 | 6 |
| x 6 | 13 | 5 |
Answer :
Word Count : 126
Apply FCM with $m=2$. For two clusters the membership $u_{i1}=\dfrac{1}{1+(d_{i1}/d_{i2})^{2}}$ and $u_{i2}=1-u_{i1}$, where $d_{ik}=\|x_i-v_k\|$. Distances to $v_1=(5,5)$ and $v_2=(10,10)$: $x_1=(3,11):\ d_{1,1}=\sqrt{40}\approx6.3249,\ ______ _______ _____ _____ _______ _________.
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Apply FCM with $m=2$. For two clusters the membership $u_{i1}=\dfrac{1}{1+(d_{i1}/d_{i2})^{2}}$ and $u_{i2}=1-u_{i1}$, where $d_{ik}=\|x_i-v_k\|$. Distances to $v_1=(5,5)$ and $v_2=(10,10)$: $x_1=(3,11):\ d_{1,1}=\sqrt{40}\approx6.3249,\ ______ _______ _____ _____ _______ _________.
_____ _______ ____ ________ __________ _____ _____ _______ __________.
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_________ ______ _________.
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