Skip to main content

Table 3 Statistical indicators used to evaluate the performance of our sampled-based reconstruction method, for different cardinalities n of the known subset I. Results are shown together with the 95% confidence intervals (not shown whenever their difference affects the significant digits beyond the third one)

From: Network reconstruction via density sampling

WTW n=5 (CI 95%) n=10 (CI 95%) n=20 (CI 95%) n=50 (CI 95%)
1950 - Link density (true: 0.402) 0.401 [0.375;0.426] 0.402 [0.387;0.416] 0.401 [0.393;0.409] 0.400 [0.396;0.403]
1950 - Accuracy 0.736 [0.731;0.741] 0.747 [0.746;0.749] 0.751 0.752
1950 - Cosine similarity 0.460 [0.458;0.462] 0.463 0.463 0.463
1960 - Link density (true: 0.383) 0.329 [0.305;0.352] 0.343 [0.330;0.357] 0.346 [0.338;0.355] 0.348 [0.344;0.353]
1960 - Accuracy 0.737 [0.734;0.741] 0.746 0.749 [0.748;0.750] 0.751
1960 - Cosine similarity 0.586 0.591 0.591 0.591
1970 - Link density (true: 0.460) 0.464 [0.436;0.492] 0.478 [0.462;0.496] 0.461 [0.451;0.471] 0.464 [0.458;0.469]
1970 - Accuracy 0.695 [0.691;0.699] 0.704 [0.702;0.706] 0.709 0.709
1970 - Cosine similarity 0.669 0.669 0.669 0.669
1980 - Link density (true: 0.468) 0.484 [0.458;0.510] 0.470 [0.455;0.485] 0.471 [0.461;0.481] 0.463 [0.458;0.469]
1980 - Accuracy 0.719 [0.715;0.723] 0.731 [0.730;0.733] 0.734 [0.733;0.735] 0.736
1980 - Cosine similarity 0.732 0.732 0.732 0.732
1990 - Link density (true: 0.505) 0.495 [0.467;0.522] 0.516 [0.500;0.532] 0.506 [0.497;0.515] 0.507 [0.503;0.512]
1990 - Accuracy 0.731 [0.726;0.736] 0.743 [0.741;0.745] 0.748 0.749
1990 - Cosine similarity 0.751 0.751 0.751 0.751
  1. The considered cardinalities n=5,10,20,50 correspond to percentages ranging from 2% to 25% of the total number of nodes. The true link densities calculated on the entire networks for the various periods are shown in brackets for reference