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What is the number of parameters in a transition matrix for an HMM with 3 states?Question 8Answera.9b.3c.12d.6

Question

What is the number of parameters in a transition matrix for an HMM with 3 states?Question 8Answera.9b.3c.12d.6

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Solution

Para determinar el número de parámetros en una matriz de transición para un Modelo Oculto de Markov (HMM) con 3 estados, sigamos estos pasos:

  1. Entender la matriz de transición: En un HMM, la matriz de transición es una matriz cuadrada donde cada elemento aija_{ij} representa la probabilidad de transición del estado ii al estado jj.

  2. Dimensiones de la matriz: Para un HMM con 3 estados, la matriz de transición será de 3x3.

  3. Número de elementos en la matriz: Una matriz de 3x3 tiene 3×3=93 \times 3 = 9 elementos.

  4. Restricciones de la matriz: En una matriz de transición, cada fila debe sumar 1

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