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. 2009 May 8;5(5):e1000380. doi: 10.1371/journal.pcbi.1000380

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Roudi et al.

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.

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These extrapolations illustrate why the two natural quantities derived from them, and , occur beyond the point at which the extrapolation is meaningful. (A) Extrapolations on a log-log scale. Black: ; green: ; cyan: . The red points are the data. The points and label the intersections of the two extrapolations with the independent entropy, . (B) Extrapolation of the entropies rather than the KL divergences, plotted on a linear-linear scale. The data, again shown in red, is barely visible in the lower left hand corner. Black: ; solid orange: ; solid maroon: . The dashed orange and maroon lines are the extrapolations of the true entropy and true pairwise “entropy”, respectively.

Inline graphic — These extrapolations illustrate why the two natural quantities derived from them, and , occur beyond the point at which the extrapolation is meaningful. (A) Extrapolations on a log-log scale. Black: ; green: ; cyan: . The red points are the data. The points and label the intersections of the two extrapolations with the independent entropy, . (B) Extrapolation of the entropies rather than the KL divergences, plotted on a linear-linear scale. The data, again shown in red, is barely visible in the lower left hand corner. Black: ; solid orange: ; solid maroon: . The dashed orange and maroon lines are the extrapolations of the true entropy and true pairwise “entropy”, respectively.