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cs-401r:assignment-5.75 [2014/10/24 16:12] ringger [Question #5] |
cs-401r:assignment-5.75 [2014/10/24 16:13] ringger [Question #5] |
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* You will compute the maximum likelihood estimates for parameters $\lambda, \beta_1, \beta_2$ using the Expectation Maximization algorithm. | * You will compute the maximum likelihood estimates for parameters $\lambda, \beta_1, \beta_2$ using the Expectation Maximization algorithm. | ||

* Construct a table formatted as shown here to capture your results. | * Construct a table formatted as shown here to capture your results. | ||

+ | * Show your work separately. If you show the careful work for E-step #1 and M-step #1 and you are confident about how to proceed with the next iteration, then it would be reasonable to be more terse in showing work for the subsequent steps. | ||

^ Iteration ^ $\lambda$ ^ $\beta_1$ ^ $\beta_2$ ^ $P(Y=H | \underline{e}_1, \Theta)$ ^ $P(Y=H | \underline{e}_2, \Theta)$ ^ $P(Y=H | \underline{e}_3, \Theta)$ ^ $P(Y=H | \underline{e}_4, \Theta)$ ^ $P(Y=H | \underline{e}_5, \Theta)$ ^ | ^ Iteration ^ $\lambda$ ^ $\beta_1$ ^ $\beta_2$ ^ $P(Y=H | \underline{e}_1, \Theta)$ ^ $P(Y=H | \underline{e}_2, \Theta)$ ^ $P(Y=H | \underline{e}_3, \Theta)$ ^ $P(Y=H | \underline{e}_4, \Theta)$ ^ $P(Y=H | \underline{e}_5, \Theta)$ ^ | ||

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** E-step #4: | ** E-step #4: | ||

*** Compute the fractional (posterior) counts for each of the five instances in the partially observed data set using the parameters computed in M-step #3. | *** Compute the fractional (posterior) counts for each of the five instances in the partially observed data set using the parameters computed in M-step #3. | ||

- | * Show your work separately. If you show the careful work for E-step #1 and M-step #1 and you are confident about how to proceed with the next iteration, then it would be reasonable to be more terse in showing work for the subsequent steps. | ||

=== Question #6 === | === Question #6 === |