Viterbi-path

The obtained optimal sequence is called Viterbi path . For technical details see [11],... 

This way we obtain 10 Viterbi paths. In the next step these are now combined to pairwise Viterbi paths by simple superposition of the Viterbi paths which belong to a combination. This produces five pairwise Viterbi... 

Fig. 3. Results of HMMSDE for the F2 time series. Top Illustration of the first 10 ns of the F2 time series. Middle The same picture colored according to the association with the assumed 4 hidden states. Bottom, The Viterbi path displayed as a discrete time series which specifies only the hidden states...

By another superposition of the five clustered pairwise Viterbi paths a global Viterbi path is obtained. This path contains 1114 different states, due to the fact that the states of the clustered pairwise Viterbi paths can be combined in any way giving a theoretical maximum of 5 4 5 4 4 = 1600 possible global states (of which only 1114 actually occur). Setting up the transition matrix again yields a sparse stochastic matrix in which more than 99% of the entries are equal to zero. 

It is instructive to compare the eigenvalues of transition matrices obtained for different lag times t. That is, we do not count transitions on a timescale of O.lps which means to observe transitions from one instance of the time series to the next, but count transitions on a timescale of, say, ps which is between every tenth step in the global Viterbi path. For all time lags. Fig. 5 clearly indicates two dominant eigenvalues after which we find a gap, followed by other gaps after 4, 9, or 16 eigenvalues. This yields 2, respectively 4, 9, or 16 metastable sets. To avoid confusion we call these metastable sets (molecular) conformations. 

Fig. 5. Illustration of the 50 largest eigenvalues of the transition matrix obtained from the global Viterbi path vs. lag time t, e.g. a lag time of 10ps means that transition are considered that occur from time x to time a +10ps. On clearly observes that the structure of the spectrum does not depend on r...

As described in Section 15.1.5 the Viterbi algorithm seeks the highest probability path through an HMM network. The only real difference between that and unit selection search is that here we are trying to find the lowest cost path. This is in fact a trivial difference, and so the Viterbi algorithm as previously described can be used directly to find the lowest cost sequence of units in unit selection. 

As described in Section 15.1.5 the Viterbi algorithm seeks the highest-probabUity path through an HMM network. The only real difference between that and a unit-selection... 

The modified forward and Viterbi algorithms are used to simulate the path in network system (disturbance consequence scenario). 

In Viterbi algorithm, after a transition from a state, the weights are calculated for each possible path. Whenever there is a difference in a particular received bit and the state output bit, one is added to the previous accumulated weight in the... 

Viterbi algorithm An efficient method for decoding convolutional codes based on finding the path on a treUis diagram that is at minimum distance from the received sequence. 

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