Based on Euclidean distance, which cluster would x_new = 7 be assigned to?

Question Set 3: Feature Transformation

Under EM, what is the (normalized) responsibility of Cluster 1? Round to 3 decimal spaces. 

Question Set 1: Clustering

Will the marginal entropy H(Y) increase, decrease, or stay the same?

Compute the sum of the highest excess kurtosis values.

You are developing a classifier for a biomedical dataset with 500 features and only 120 labeled samples. You aim to improve generalization and interpretability by selecting a subset of features before training. Which of the following statements are true?

Compute the conditional entropy H(Y | X), i.e., the entropy of the edibility label given the berry color. (Answer will be bits rounded to the 3 decimals).

You observe that PCA explains a majority of the variance with the first several components, while ICA shows the highest excess kurtosis in its first several components. However, ICA also identifies 2 additional components with mild excess kurtosis (0.3 and 0.1). Suppose your downstream task is unsupervised clustering of eel behavioral states using these reduced representations. Which of the following best explains why choosing more than 3 components (e.g., 5) might degrade clustering performance? Choose all that apply. 

7+2 is what?  Do not submit this multiple-choice “test” until you have completed ET2 (above) based on the directions that you have been sent regarding this event.