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GREAT Procurement DE Recherché en Economic Quantitative d'Aix-Marseille UMR-CNRS 657Colele DES Hates Tubes en Sciences Socials University s d'Aix-Marseille II et III halshs-00285866, version 1 6
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Hierarchical hidden Markov structure refers to a statistical model that is used to represent complex sequential data, where the observations follow a hierarchical organization. In this structure, the underlying states of the system are hidden, and the observed data is dependent on these hidden states.
The requirement to file a hierarchical hidden Markov structure depends on the specific context or application. Generally, individuals or organizations dealing with complex sequential data analysis, such as researchers, data scientists, or professionals in various fields, may be required to work with or use hierarchical hidden Markov structures as part of their data modeling or analysis processes.
Filling out a hierarchical hidden Markov structure involves several steps. First, one needs to define the hierarchical organization of the data and identify the hidden states that drive the underlying dynamics. Then, parameters such as transition probabilities and emission probabilities need to be estimated. Finally, algorithms like the Baum-Welch algorithm or forward-backward algorithm can be employed to train the model based on the observed data.
The purpose of a hierarchical hidden Markov structure is to provide a probabilistic framework for modeling and analyzing complex sequential data. It allows for capturing the dependencies among hidden states and their impact on the observed data. This structure is particularly useful in various domains, such as speech recognition, natural language processing, bioinformatics, and many others, where sequential data analysis is crucial.
The specific information reported on a hierarchical hidden Markov structure depends on the context and the data being modeled. Typically, the structure includes information about the hidden states, the observed data, transition probabilities between states, emission probabilities associated with observations, and any additional parameters or constraints that define the underlying dynamics of the system.
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