Data Mining: 625.740 Homework 11

Data Mining: 625.740
Homework 11
Generate 1,000 two-dimensional samples for each of two Gaussians, p(x|ωi) ∼ N(µi
, Σi) with
µ1 =
?
2
0
?
, µ2 =
?
−2
0
?
, Σ1 =
?
1 0
0 1 ?
, and Σ2 = P DPT
where
P =
1
2
? √
3 −1
1
√
3
?
and D =
?
9 0
0 4 ?
.
Run k-means clustering, fuzzy k-means clustering, and Expectation-Maximization on these data.
Plot the resulting membership sets for each run and briefly discuss the results.