Fig. 3: Comparison of the AUC (area under the ROC curve) values between n-reduced and n-projected operators for predicting k-order hyperedges. | Communications Physics

Fig. 3: Comparison of the AUC (area under the ROC curve) values between n-reduced and n-projected operators for predicting k-order hyperedges.

From: Unveiling the role of higher-order interactions via stepwise reduction

Fig. 3: Comparison of the AUC (area under the ROC curve) values between n-reduced and n-projected operators for predicting k-order hyperedges.The alternative text for this image may have been generated using AI.

a–f show the results corresponding to datasets email-Eu, threads-math-sx, NDC-classes, iAF1260b, Nematode, and Pubmed, respectively. Here, n is set to 7, and all results are averaged over ten independent experiments. The y-axis represents the order k of the predicted hyperedges. The dark blue bars denote the average AUC for the n-reduced method, while the magenta bars represent the average AUC for the n-projected method. To provide a clear comparison of prediction accuracy between the two methods, the length of each bar is scaled according to the AUC value of each method as a proportion of the sum of AUC values of both methods. For instance, if the AUC for the n-reduced method is 0.8 and the AUC for the n-projected method is 0.7, the lengths of the dark blue and magenta bars would be 8/15 and 7/15, respectively.

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