Fig. 8: Schematic of the causal decomposition in SURD.
From: Decomposing causality into its synergistic, unique, and redundant components
a For a given state \({q}_{j}^{+}\) of the target variable \({Q}_{j}^{+}\), the specific causalities \(\tilde{\imath }\) are computed for all the possible combinations of past variables. These components are organized in ascending order, which allows to assign the redundant (blue), unique (red), and synergistic (yellow) causalities. This process is performed for all possible values \({q}_{j}^{+}\) of \({Q}_{j}^{+}\). b Schematic of simple examples and associated specific mutual information for (top panel) duplicated input, (middle panel) output equal to first input, and (bottom panel) exclusive-OR output.
