Given a hidden Markov Model (HMM) diagram in Figure 2 to represent weather in Jakarta in the past three months. The diagram in Figure 2 shows the process of predicting whether someone will be walking, shopping, or cleaning on a particular day based on whether the day is rainy or sunny. In the diagram, two hidden states are rainy and sunny; while the observed states (activities during corresponding weather) are shopping, walking, or cleaning. Based on observation, someone has the following activity sequence: shop, walk, and clean. What is the most likely weather (the hidden states: Rainy or Sunny) sequence, given such activity sequence. Answer this

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Given a hidden Markov Model (HMM) diagram in Figure 2 to represent weather in Jakarta in the
past three months. The diagram in Figure 2 shows the process of predicting whether someone will
be walking, shopping, or cleaning on a particular day based on whether the day is rainy or sunny. In
the diagram, two hidden states are rainy and sunny; while the observed states (activities during
corresponding weather) are shopping, walking, or cleaning.
Based on observation, someone has the following activity sequence: shop, walk, and clean. What is
the most likely weather (the hidden states: Rainy or Sunny) sequence, given such activity
sequence. Answer this question using Viterbi algorithm and draw weather hidden states
sequence using the Trellis diagram.
Hint: For the Viterbi algorithm and the Trellis diagram you can refer to the following book: Stuart
Russell, Peter Norvig. 2010. Artificial Intelligence : A Modern Approach, 2nd edition, Pearson
Education. New Jersey, ISBN:9780132071482 (see Figure 15.5, p. 548).

 

Start
0.3
0.7
0.5
Rainy
Sunny
0.5
0.3
0.7
0.2
0.1
0.4
\0.6
0.5
Walk
Clean
Shop
Transcribed Image Text:Start 0.3 0.7 0.5 Rainy Sunny 0.5 0.3 0.7 0.2 0.1 0.4 \0.6 0.5 Walk Clean Shop
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