Index: Hoff 2002 - Latent Space Approaches to Social Network Analysis

Hoff 2002 - Latent Space Approaches to Social Network Analysis

Routing Summary

Full capture of Hoff, Raftery and Handcock (2002), Latent space approaches to social network analysis (JASA 97(460):1090-1098), plus a concept note on stochastic block models and network posterior predictive checks (folder Network Outcome Models Concept Notes).

• Need the paper on one page, PyMC example E21, section map? → Hoff 2002 - Latent Space Models Overview
• Need the distance and projection model definitions, $d_k$ representability? → Hoff 2002 - Distance and Projection Models
• Need the likelihood, non-concavity, Procrustes MCMC? → Hoff 2002 - Likelihood Estimation and Procrustes MCMC
• Need the monk, Florentine, classroom results and tables? → Hoff 2002 - Monks Florentine Families and Classroom Examples
• Need discussion, extensions, SBM/MDS contrast? → Hoff 2002 - Discussion Extensions and Stochastic Blockmodel Contrast
• Need SBM / mixed-membership / degree-corrected / network PPCs? → Network Outcome Models - Stochastic Block Models and Network Checks

Concept Map

Concept	Note	Type	Depends On	Key Result
Latent distance / projection model	Hoff 2002 - Distance and Projection Models	definition	none	$\text{logit},p=\alpha+\beta^\top x-
Procrustes MCMC	Hoff 2002 - Likelihood Estimation and Procrustes MCMC	theorem	distance model	positions identified up to rigid motion
Examples	Hoff 2002 - Monks Florentine Families and Classroom Examples	example	estimation	monks: -66.02 (34 par.) vs SBM -82.12 (37)
Discussion	Hoff 2002 - Discussion Extensions and Stochastic Blockmodel Contrast	concept	examples	clustered priors, dyad dependence
SBM and checks	Network Outcome Models - Stochastic Block Models and Network Checks	concept	none	$P(y_{ij}=1)={\pi }_i^{\top }B{\pi }_j$

Notes

• Hoff 2002 - Latent Space Models Overview — CONTAINS: question, contributions, E21 link, Source Map.
• Hoff 2002 - Distance and Projection Models — CONTAINS: eq. 1-3, $d_k$ representability, projection model, simulation and PyMC sketch.
• Hoff 2002 - Likelihood Estimation and Procrustes MCMC — CONTAINS: eq. 4, concavity statement, Procrustes definition and MCMC procedure, code.
• Hoff 2002 - Monks Florentine Families and Classroom Examples — CONTAINS: Tables 1-2, Figs. 1-5 narrative, reciprocity checks.
• Hoff 2002 - Discussion Extensions and Stochastic Blockmodel Contrast — CONTAINS: advantages, extensions, MDS contrast.
• Network Outcome Models - Stochastic Block Models and Network Checks — CONTAINS: SBM, MMSBM, DC-SBM, PPCs; concept note.

Sources

Hoff 2002 - Latent Space Approaches to Social Network Analysis (scanned author-site copy; read page by page).

See Also

Social Network Models | Reinhart 2018 - Self-Exciting Spatio-Temporal Point Processes