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Given a list of numbers representing predicted probabilities and corresponding true labels, how would you plot an ROC curve?

How do you think the ROC curve plays a crucial role in the realm of machine learning?

What factors would you consider when evaluating the efficiency of a carpool service?

List out some optimization algorithms you're aware of. How do you handle a million variables in optimization? How does simplex works?

Can you discuss the meaning of training and loss graphs in relation to neural networks? How do different loss functions alter the shape of the loss graph, and what are some commonly employed ones? How do the training and loss graphs differ, and how do they aid in optimizing and maximizing model performance?

Tell me about the DBSCAN algorithm.

Describe a time you had to compromise

Describe a time when you disagreed with a performance rating you received.

Describe how you would make inferences from the data collected in an A/B test, including estimating the difference in campaign effectiveness and assessing the significance of the results?

If you give N users a 5$ coupon, with the probability of usage being P, what is the expected coupon spend? What assumptions would you make to underpin that answer? What is the probability that one of the coupons will be used?