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Table 7 Accuracy (mean and standard deviation over 10 runs) obtained by the proposed methods and competitors, with early-stopping regularization technique

From: Graph convolutional and attention models for entity classification in multilayer networks

Network

ML-GAT

ML-GCN

GrAMME-SG

GrAMME-Fusion

GAT

GCN

Balance

\(0.8885 \pm 0.0208\)

\(\mathbf {0.8965 \pm 0.0990}\)

\(0.7543 \pm 0.0426\)

\(0.7982 \pm 0.0666\)

\(0.7244\pm 0.0910\)

\(0.7881 \pm 0.0270\)

CKM-Social

\(0.9623 \pm 0.0088\)

\(0.9213 \pm 0.0226\)

\(0.9265 \pm 0.0253\)

\(0.9479 \pm 0.0192\)

\(\mathbf {0.9762 \pm 0.0179}\)

\(0.9729 \pm 0.0173\)

Congress

\({0.9431 \pm 0.0195}\)

\(\mathbf {0.9440 \pm 0.0089}\)

\(0.8623 \pm 0.0231\)

\(0.9232\pm 0.0303\)

\(0.6116 \pm 0.0092\)

\(0.6146 \pm 0.0000\)

DKPol

\(0.8294 \pm 0.0298\)

\(0.7681 \pm 0.0122\)

\(0.5910 \pm 0.0433\)

\(0.8233 \pm 0.0277\)

\(0.7960 \pm 0.0294\)

\(\mathbf {0.8621 \pm 0.0321}\)

Leskovec-Ng

\(\mathbf {1.0 \pm 0.0000}\)

\(0.9570 \pm 0.0178\)

\(0.9516 \pm 0.0242\)

\(0.9832 \pm 0.0120\)

\(0.9792 \pm 0.0202\)

\(0.9861 \pm 0.0155\)

Starwars

\(\mathbf {0.8174 \pm 0.0183}\)

\(0.8152 \pm 0.0185\)

\(0.6348 \pm 0.1001\)

\(0.6522 \pm 0.1108\)

\(0.8087 \pm 0.0171\)

\(0.7869 \pm 0.0225\)

Terrorist-Noordin

\(0.6500 \pm 0.0745\)

\(0.7325 \pm 0.0566\)

\(0.7333 \pm 0.1141\)

\(\mathbf {0.7179 \pm 0.1216}\)

\(0.7175 \pm 0.0426\)

\(0.6850 \pm 0.0818\)

Terrorist-status

\(0.5700 \pm 0.0483\)

\(0.5450 \pm 0.0369\)

\(0.5333 \pm 0.0380\)

\(0.4974\pm 0.0429\)

\(\mathbf {0.6313 \pm 0.0944}\)

\(0.5278 \pm 0.0870\)

Vickers

\(\mathbf {0.9733 \pm 0.0466}\)

\(0.9667 \pm 0.0471\)

\(0.8769 \pm 0.1032\)

\(0.8974 \pm 0.0544\)

\(0.8667\pm 0.0544\)

\(0.8000 \pm 0.0943\)

Koumbia-2-mpx

\(\mathbf {0.7890 \pm 0.0134}\)

\(0.7671 \pm 0.0173\)

\({0.6403 \pm 0.0815}\)

\({0.7333 \pm 0.0020}\)

\(0.6058 \pm 0.0138\)

\(0.6846 \pm 0.0139\)

Koumbia-5-mpx

\(\mathbf {0.8431 \pm 0.0127}\)

\(0.7995 \pm 0.0114\)

\({0.5481 \pm 0.0013}\)

\({0.8021 \pm 0.0150}\)

\(0.7373 \pm 0.0471\)

\(0.7715 \pm 0.0141\)

Koumbia-10-mpx

\(\mathbf {0.8419 \pm 0.0105}\)

\(0.8151 \pm 0.0162\)

na

na

\(0.7825 \pm 0.0612\)

\(0.8087 \pm 0.0161\)

  1. Training, validation and testing set sizes correspond to 25%, 25% and 50% of the entities, respectively
  2. Bold values refer to the best results on each network