Kim H. Parker edited We_see_in_Figure_5__.tex  over 8 years ago

Commit id: 38f21a9d5ba988bf31d71f06e455db6f612789b6

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We see in Figure 5 that both the ELE $(\lambda = 1/2)$ and Laplaces Laplace's  method $(\lambda = 1)$ give values of $c$ where $I$ is minimum smaller than the value of $c$ given by the sum of squares method whereas MLE $(\lambda = 0)$ gives a value of $c$ that is larger than $c_{SS}$. Interestingly, the value of $I(dP_+,dP_-)$ is very close to $I(P,U)$ for $\lambda > 0$. This suggests that the mutual information is being dominated by the uniform prior probability. Finding a way to generate a prior expectation of the probability of observing the simultaneously measured pairs $(P,U)$ from the mechanics of the process may be necessary to find a robust algorithm for determining $c$ from the minimum mutual information.