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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