Let P(x, π) be the joint probability of an observed sequence x and a state sequence 7. We define the most probable path * as T* = arg max P(x, T). Show that this definition is equivalent to T* = arg max, P(π|x).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 36E
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3.3: Viterbi Path
Let P(x, π) be the joint probability of an observed sequence x and a state sequence. We define
the most probable path * as π* = arg max P(x, π). Show that this definition is equivalent to
= arg max P(T|x).
Transcribed Image Text:3.3: Viterbi Path Let P(x, π) be the joint probability of an observed sequence x and a state sequence. We define the most probable path * as π* = arg max P(x, π). Show that this definition is equivalent to = arg max P(T|x).
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