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By Shapley efficiency, the importance shares a node receives from its predictors sum exactly to that node's full-model R-squared. Returns the maximum absolute deviation from that identity; near zero certifies the decomposition.

Usage

lmg_certificate(x)

Arguments

x

A psychnet object produced by relimp_network().

Value

Maximum absolute deviation of incoming-share sums from the per-node R-squared (scalar); 0 = exact decomposition.

Examples

S <- 0.4^abs(outer(1:5, 1:5, "-"))
lmg_certificate(relimp_network(cor_matrix = S))
#> [1] 5.551115e-17