Порівняння методів

	Модель експоненціальних випадкових графів (ERGM / p*)	Алгоритми причинно-наслідкового виявлення (PC, FCI, LiNGAM)	Графова уважна мережа
Галузь	Мережевий аналіз	Причинно-наслідковий висновок	Глибоке навчання
Родина	Process / pipeline	Regression model	Machine learning
Рік появи	1986 (foundational); modern ERGM framework 1996–2007	2000	2018
Автор методу	Frank & Strauss (1986); extended by Wasserman & Pattison (1996) and Robins et al. (2007)	Spirtes, Glymour & Scheines (PC/FCI); Shimizu et al. (LiNGAM)	Veličković, P. et al.
Тип	Probabilistic generative network model	Causal structure learning	Graph neural network (attention-based)
Основоположне джерело	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.	Spirtes, P., Glymour, C., & Scheines, R. (2000). Causation, Prediction, and Search (2nd ed.). MIT Press. ISBN: 978-0262194402	Veličković, P. et al. (2018). Graph Attention Networks. ICLR.
Інші назви	ERGM, p-star model, p* model, Üstel Rastgele Graf Modeli (ERGM / p*)	PC algorithm, FCI algorithm, LiNGAM, causal structure learning	Graf Dikkat Ağı (GAT), GAT, graph attention network, attention-based graph neural network
Пов'язані	6	5	4
Підсумок	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.	Causal discovery is a family of algorithms that automatically learn a directed acyclic graph (DAG) describing causal structure directly from observational data. The constraint-based PC and FCI algorithms were developed by Spirtes, Glymour and Scheines (2000), while the LiNGAM model of Shimizu et al. (2006) exploits linear non-Gaussian structure to orient edges.	The Graph Attention Network (GAT), introduced by Veličković and colleagues in 2018, is a graph neural network variant that learns how much importance to assign to each neighbouring node through a self-attention mechanism. On heterogeneous neighbourhoods and relational classification it produces results superior to graph convolutional networks (GCN).