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ml-recall

#forward-algorithm

5 questions from Probabilistic & Graphical Models, Time Series

Timed test

5 questions · 5 min · score and explanations at the end

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Question 1: Short answer

mediumAI-checkedProbabilistic & Graphical Models

An HMM relates the weather of a day (hidden state HOT or COLD) to the number of ice creams a person eats that day (observation 1, 2 or 3). Its parameters are the initial probabilities π\pi, the transition probabilities and the emission probabilities:

state π\pi to HOT to COLD P(1) P(2) P(3)
HOT 0.7 0.8 0.2 0.1 0.3 0.6
COLD 0.3 0.3 0.7 0.6 0.3 0.1

Use the forward algorithm to compute the probability of observing 3 ice creams on day 0 and 1 ice cream on day 1.

a probability, 4 decimals