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指数ランダムグラフモデル (ERGM / p*)×ネットワークにおける欠損および将来のエッジ推論×ネットワーク拡散モデル×
分野ネットワーク分析ネットワーク分析ネットワーク分析
系統Process / pipelineProcess / pipelineProcess / pipeline
提唱年1986 (foundational); modern ERGM framework 1996–200720031927 (epidemiological compartmental); 2003 (social influence cascade)
提唱者Frank & Strauss (1986); extended by Wasserman & Pattison (1996) and Robins et al. (2007)Kermack & McKendrick (SIR/SIS, 1927); Kempe, Kleinberg & Tardos (Independent Cascade, 2003)
種類Probabilistic generative network modelNetwork inference taskStochastic / deterministic simulation on graphs
原典Robins, G., Pattison, P., Kalish, Y., & Lusher, D. (2007). An introduction to exponential random graph (p*) models for social networks. Social Networks, 29(2), 173-191. DOI ↗Liben-Nowell, D. & Kleinberg, J. (2007). The Link-Prediction Problem for Social Networks. Journal of the American Society for Information Science and Technology, 58(7), 1019-1031. DOI ↗Kermack, W.O. & McKendrick, A.G. (1927). A Contribution to the Mathematical Theory of Epidemics. Proceedings of the Royal Society of London. Series A, 115(772), 700-721. DOI ↗
別名ERGM, p-star model, p* model, Üstel Rastgele Graf Modeli (ERGM / p*)Bağlantı Tahmini (Link Prediction), missing link prediction, future link prediction, edge predictionepidemic spreading models, compartmental models, influence propagation models, Ağ Yayılım Modelleri (SIR, SIS, Independent Cascade)
関連655
概要The Exponential Random Graph Model (ERGM), also known as the p* model, is a statistical framework for network analysis that models the probability of an observed network as a function of its local structural features — such as reciprocity, triangles, and degree distribution. Developed from the foundational work of Frank and Strauss (1986) and extended into the modern framework by Wasserman and Pattison (1996) and Robins et al. (2007), ERGM is the inferential standard for social network analysis, capable of testing whether observed network structures arise by chance or reflect genuine social processes.Link prediction is a network-analysis task that estimates which edges are missing from an observed graph or which edges are likely to form in the future. Formalised by Liben-Nowell and Kleinberg (2003, 2007), it covers a spectrum of approaches — from simple structural similarity indices such as Common Neighbors, Jaccard coefficient, and Adamic-Adar, to matrix factorisation, and graph neural network (GNN) methods — and is evaluated with AUC and Average Precision to account for the heavily imbalanced ratio of real to non-existing edges.Network diffusion models are a family of compartmental and probabilistic frameworks that simulate how information, disease, or innovation spreads across a connected system. Rooted in the mathematical epidemiology of Kermack and McKendrick (1927), the SIR and SIS models partition nodes into states and track transitions driven by contact rates and recovery probabilities. The Independent Cascade and Linear Threshold models, formalised by Kempe, Kleinberg, and Tardos (2003), extend this logic to social influence, modelling how activation propagates through a network one neighbour at a time.
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ScholarGate手法を比較: Exponential Random Graph Model · Link Prediction · Network Diffusion Models. 2026-06-18に以下より取得 https://scholargate.app/ja/compare