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What are the techniques to combine together multiple HMMs related to the same process?

Mental example: I train 3 different HMMs by observing the behavior of 3 animals. All these HMMs have the same number of parameters and emissions. Then, I discover that I was actually observing the same animal, 3 times. I want to combine the 3 HMMs to a single HMM that better models the animal behavior.

Of course this is just a mental experiment, but it fits very well my problem.

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