HMM viterbi algorithm linked to values

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Nikolas Spiliopoulos
回答： Aneela 2024-2-16
Hi all,
I have used the HMM toolbox, using 4 states (Each states can take numbers from 1 to 6).
Then I apply the viterbi algortihm and find the optimum path of states. However, my question is:
How then the viterbi states of a given sequence are linked to certain values? here are the input data
A=[0.6 0.2 0.1 0.1;0.1 0.6 0.15 0.15; 0.15 0.15 0.6 0.1; 0.1 0.1 0.25 0.55]; %transition matrix
emis = [0.025 0.135 0.34 0.34 0.135 0.025;0.025 0.135 0.34 0.34 0.135 0.025;0.025 0.135 0.34 0.34 0.135 0.025;0.025 0.135 0.34 0.34 0.135 0.025]; %emission matrix, probabilities follow gaussian distribution (six bins of probabilities)
Initial_vales= [ 0.25 0.32 0.58 0.42 ..0.8]; %initial data given (24*20), range from 0.1 to 1.8!
%states_1= 0-0.25
%state_2=0.25-0.50
%state_2=0.5-0.75
%state_4=>0.75
thanks in advance,
Nikolas

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回答（1 个）

Aneela
Aneela 2024-2-16
Hi Nikolas Spiliopoulos,
The Viterbi algorithm generates the most likely sequence of the hidden states (Viterbi States) in “HMM (Hidden Markov Models)”.
  • The algorithm begins by determining the initial likelihoods for each state, based on the first observation.
  • For each subsequent observation, the algorithm calculates the probability of being in each state by using the new observation and the previous state probabilities.
The Viterbi states of a given sequence are linked to the certain values through the emission probabilities of the observed value and the transition probabilities from the previous state.

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