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PID results for simulated datasets from the pdfs, p 3 − p 7 , p, reported as median (in bold) and range of the sample of percentages of the joint mutual information, apart from t * which gives the median and range of the actual values obtained using the I ig algorithm.
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There is much interest in the topic of partial information decomposition, both in developing new algorithms and in developing applications. An algorithm, based on standard results from information geometry, was recently proposed by Niu and Quinn (2019). They considered the case of three scalar random variables from an exponential family, including...
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Context 1
... order to make the PID results from the sample of 1000 datasets comparable each PID was normalized by dividing each of its components by the joint mutual information; see (10). A summary of the results is provided in Table 3. We focus here on the comparison of I ig and I dep , and also I ig and I mmi , since I dep has been compared with I mmi for Gaussian systems [22]. ...Context 2
... to be expected with percentage data, the variation in results for each component tends to be larger for values that are not extreme and much smaller for the extreme values. Also, the optimal values of t * are shown in Table 3. They were all found to be in the range [0,1], except for 202 of the datasets generated from pdf p 5 or p 6 . ...