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Partial information decomposition allows the joint mutual information betweenan output and a set of inputs to be divided into components that aresynergistic or shared or unique to each input. We consider five differentdecompositions and compare their results on data from layer 5b pyramidal cellsin two different studies. The first study was of the amplification of somaticaction potential output by apical dendritic input and its regulation bydendritic inhibition. We find that two of the decompositions produce muchlarger estimates of synergy and shared information than the others, as well aslarge levels of unique misinformation. When within-neuron differences in thecomponents are examined, the five methods produce more similar results for allbut the shared information component, for which two methods produce a differentstatistical conclusion from the others. There are some differences in theexpression of unique information asymmetry among the methods. It issignificantly larger, on average, under dendritic inhibition. Three of themethods support a previous conclusion that apical amplification is reduced bydendritic inhibition. The second study used a detailed compartmental model toproduce action potentials for many combinations of the numbers of basal andapical synaptic inputs. Two analyses of decompositions are conducted on subsetsof the data. In the first, the decompositions reveal a bifurcation in uniqueinformation asymmetry. For three of the methods this suggests that apical driveswitches to basal drive as the strength of the basal input increases, while theother two show changing mixtures of information and misinformation.Decompositions produced using the second set of subsets show that all fivedecompositions provide support for properties of cooperativecontext-sensitivity - to varying extents.

A comparison of partial information decompositions using data from real and simulated layer 5b pyramidal cells