השוואת שיטות
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| מודל גרף אקראי מעריכי (ERGM / p*)× | מודלים של דיפוזיה ברשת× | |
|---|---|---|
| תחום | ניתוח רשתות | ניתוח רשתות |
| משפחה | Process / pipeline | Process / pipeline |
| שנת המקור≠ | 1986 (foundational); modern ERGM framework 1996–2007 | 1927 (epidemiological compartmental); 2003 (social influence cascade) |
| הוגה השיטה≠ | Frank & Strauss (1986); extended by Wasserman & Pattison (1996) and Robins et al. (2007) | Kermack & McKendrick (SIR/SIS, 1927); Kempe, Kleinberg & Tardos (Independent Cascade, 2003) |
| סוג≠ | Probabilistic generative network model | Stochastic / deterministic simulation on graphs |
| מקור מכונן≠ | 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 ↗ | 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 ↗ |
| כינויים | ERGM, p-star model, p* model, Üstel Rastgele Graf Modeli (ERGM / p*) | epidemic spreading models, compartmental models, influence propagation models, Ağ Yayılım Modelleri (SIR, SIS, Independent Cascade) |
| קשורות≠ | 6 | 5 |
| תקציר≠ | 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. | 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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