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[hts-users:04093] The recursion formula in HERest of HTS 2.2




Hi, all

 

I am studying the source code of HERest of HTS 2.2 these days. The implemented code seems to be some recursion form of the original formula in literature [1].

 

A.      Backward algorithm in literature

Initial:

                                                             .                                                       

Recursion:

                                        

 

B.      Backward algorithm in source code

Initial:

                                                                                

                                                     

                                                                                  

Recursion:

                                                              

                    

                     

                                                                                     

Termination:

                                                                                                        

 

My problems are: 1) what is the definition of  as appeared in the source code? 2) Is there any material deriving the formula implemented in code?

 

Thank you in advance!

 

Yang Wang

 

[1] Zen, H., Tokuda, K., Masuko, T. et al., “A Hidden Semi-Markov Model-Based Speech Synthesis System”, IEICE Transactions on Information and Systems E series D, vol. 90, no. 5, pp. 825-834, 2007.


Follow-Ups
[hts-users:04094] Re: The recursion formula in HERest of HTS 2.2, Heiga ZEN (Byung Ha CHUN)