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Table 4 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

e-MID n=5 (CI 95%) n=10 (CI 95%) n=20 (CI 95%) n=50 (CI 95%)
2000 - Link density (true: 0.278) 0.293 [0.269;0.317] 0.279 [0.263;0.295] 0.273 [0.264;0.281] 0.280 [0.273;0.283]
2000 - Accuracy 0.763 [0.759;0.768] 0.772 [0.769;0.775] 0.778 [0.777;0.779] 0.778 [0.777;0.779]
2000 - Cosine similarity 0.573 [0.566;0.580] 0.578 [0.576;0.582] 0.582 0.582
2001 - Link density (true: 0.263) 0.279 [0.256;0.303] 0.264 [0.249;0.278] 0.257 [0.246;0.267] 0.266 [0.261;0.272]
2001 - Accuracy 0.763 [0.757;0.770] 0.774 [0.772;0.776] 0.777 [0.775;0.779] 0.778 [0.777;0.779]
2001 - Cosine similarity 0.560 [0.554;0.566] 0.566 [0.563;0.569] 0.569 0.570
2002 - Link density (true: 0.233) 0.253 [0.230;0.276] 0.237 [0.221;0.252] 0.235 [0.225;0.246] 0.233 [0.228;0.239]
2002 - Accuracy 0.759 [0.752;0.766] 0.767 [0.763;0.771] 0.770 [0.767;0.772] 0.772 [0.770;0.773]
2002 - Cosine similarity 0.684 [0.675;0.694] 0.670 [0.682;0.697] 0.699 [0.697;0.701] 0.701 [0.700;0.702]
2003 - Link density (true: 0.214) 0.248 [0.223;0.273] 0.225 [0.208;0.243] 0.217 [0.205;0.228] 0.213 [0.208;0.219]
2003 - Accuracy 0.746 [0.737;0.756] 0.758 [0.752;0.763] 0.763 [0.759;0.766] 0.766 [0.764;0.767]
2003 - Cosine similarity 0.461 [0.453;0.470] 0.462 [0.454;0.470] 0.472 [0.469;0.475] 0.476 [0.475;0.477]
2004 - Link density (true: 0.190) 0.210 [0.185;0.235] 0.183 [0.168;0.199] 0.194 [0.182;0.205] 0.187 [0.181;0.192]
2004 - Accuracy 0.772 [0.762;0.783] 0.785 [0.780;0.790] 0.784 [0.780;0.788] 0.788 [0.786;0.790]
2004 - Cosine similarity 0.481 [0.470;0.492] 0.482 [0.474;0.491] 0.497 [0.493;0.502] 0.503 [0.501;0.504]
2005 - Link density (true: 0.201) 0.232 [0.205;0.258] 0.210 [0.190;0.222] 0.210 [0.200;0.221] 0.208 [0.203;0.214]
2005 - Accuracy 0.751 [0.740;0.762] 0.767 [0.760;0.773] 0.767 [0.763;0.771] 0.769 [0.767;0.771]
2005 - Cosine similarity 0.461 [0.448;0.474] 0.476 [0.470;0.483] 0.486 [0.483;0.490] 0.491 [0.490;0.492]
  1. The considered cardinalities n=5,10,20,50,100 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