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Uncovering multi-order Popularity and Similarity Mechanisms in Link Prediction by graphlet predictors

Social and Information Networks · Submitted 18 Aug 2024

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The proposed approach improves the accuracy and interpretability of link prediction, thus facilitating the analysis of complex networks.

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arXiv ID2408.09406 (version 2)
Pith ID32UXIGCB, Pith's permanent record of this paper and its review
CitationTao Zhou, Xiao-Ke Xu, Yijun Ran, Yong-Jian He, Zengru Di. "Uncovering multi-order Popularity and Similarity Mechanisms in Link Prediction by graphlet predictors." arXiv:2408.09406 (2024). https://pith.science/paper/32UXIGCB
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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.13 · human participants 0.02 · controlled comparison 0.12 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.22 · mentions code or data availability 0.03.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

Link prediction has become a critical problem in network science and has thus attracted increasing research interest. Popularity and similarity are two primary mechanisms in the formation of real networks. However, the roles of popularity and similarity mechanisms in link prediction across various domain networks remain poorly understood. Accordingly, this study used orbit degrees of graphlets to construct multi-order popularity- and similarity-based network link predictors, demonstrating that traditional popularity- and similarity-based indices can be efficiently represented in terms of orbit degrees. Moreover, we designed a supervised learning model that fuses multiple orbit-degree-based features and validated its link prediction performance. We also evaluated the mean absolute Shapley additive explanations of each feature within this model across 550 real-world networks from six domains. We observed that the homophily mechanism, which is a similarity-based feature, dominated social networks, with its win rate being 91\%. Moreover, a different similarity-based feature was prominent in economic, technological, and information networks. Finally, no single feature dominated the biological and transportation networks. The proposed approach improves the accuracy and interpretability of link prediction, thus facilitating the analysis of complex networks.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Link prediction has become a critical problem in network science and has thus attracted increasing research interest. background 1.00 0.04 0.01 asserted 1.00
s1 Popularity and similarity are two primary mechanisms in the formation of real networks. background 1.00 0.04 0.02 asserted 1.00
s2 However, the roles of popularity and similarity mechanisms in link prediction across various domain networks remain poorly understood. gap 1.00 0.05 0.02 asserted 0.98
s3 Accordingly, this study used orbit degrees of graphlets to construct multi-order popularity- and similarity-based network link predictors, demonstrating that traditional popularity- and similarity-based indices can be efficiently represented in terms of orbit degrees. method 0.62 0.96 0.18 asserted 1.00
s4 Moreover, we designed a supervised learning model that fuses multiple orbit-degree-based features and validated its link prediction performance. method 0.89 0.97 0.06 asserted 1.00
s5 We also evaluated the mean absolute Shapley additive explanations of each feature within this model across 550 real-world networks from six domains. method 0.89 0.97 0.04 asserted 0.96
s6 We observed that the homophily mechanism, which is a similarity-based feature, dominated social networks, with its win rate being 91\%. result 1.00 0.96 0.20 asserted 1.00
s7 Moreover, a different similarity-based feature was prominent in economic, technological, and information networks. result 1.00 0.92 0.09 asserted 1.00
s8 Finally, no single feature dominated the biological and transportation networks. result 1.00 0.94 0.11 asserted 1.00
s9 The proposed approach improves the accuracy and interpretability of link prediction, thus facilitating the analysis of complex networks. interpretation 0.87 0.63 0.61 asserted 1.00

What kind of paper the classifier reports this is: method or tool 0.78 · evidence from analysis of existing data 0.72.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Link prediction has become a critical problem in network science and has thus attracted increasing research interest. Popularity and similarity are two primary mechanisms in the formation of real networks. However, the roles of popularity and similarity mechanisms in link prediction across various domain networks remain poorly understood. Accordingly, this study used orbit degrees of graphlets to construct multi-order popularity- and similarity-based network link predictors, demonstrating that traditional popularity- and similarity-based indices can be efficiently represented in terms of orbit degrees. Moreover, we designed a supervised learning model that fuses multiple orbit-degree-based features and validated its link prediction performance. We also evaluated the mean absolute Shapley additive explanations of each feature within this model across 550 real-world networks from six domains. We observed that the homophily mechanism, which is a similarity-based feature, dominated social networks, with its win rate being 91\%. Moreover, a different similarity-based feature was prominent in economic, technological, and information networks. Finally, no single feature dominated the biological and transportation networks. The proposed approach improves the accuracy and interpretability of link prediction, thus facilitating the analysis of complex networks.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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  • Notice that it is strictly proved that if Precision, Recall, and F1-score adopt the same threshold to predict missing links (i.e., they all treat top-$L$ link with highest scores as missing links), they will give exactly the same ranking of evaluated algorithms [ref] .

    Inconsistency of evaluation metrics in link prediction · Materials and Methods · 0.97

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