For problems involving hidden Markov models (HMM), when would you use the Baum-Welsh algorithm and when the Viterbi algorithm and why?

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For problems involving hidden Markov models (HMM), when would you use the Baum-Welsh algorithm and when the Viterbi algorithm and why?

COMPUTER SCIENCE TRIPOS Part II – 2017 – Paper 9
Bioinformatics (PL)
(a) For problems involving hidden Markov models (HMM), when would you use the
Baum-Welsh algorithm and when the Viterbi algorithm and why? [6 marks]
(b) Discuss how a sequence alignment might be evaluated statistically, illustrating
your answer with an example. [6 marks]
(c) What is the condition for fitting a phylogenetic tree to a matrix? [2 marks]
(d) Discuss how to find matches in a genome sequence efficiently. [6 marks]