CIDnetworks and ScienceForums.Net

Alex Reinhart
February 27, 2014

Overview of SFN

  • Founded in 2002
  • 750,000 posts
  • 65,000 members
  • 5,000 new posts per month
  • 300,000 unique visitors each month
  • 3rd largest science discussion forum

Reputation Points

The Network

CIDnetworks

CIDnetworks

  • Fits conditionally independent dyad models
    • Latent spaces
    • Latent vectors
    • Stochastic blockmodels
    • Sender-receiver
    • Mixed membership stochastic blockmodels
    • Hierarchical blockmodels
  • … plus covariates.

CID models

\[ g(\mathbb{E}[Y_{ij}]) = \beta_0 + X_{ij} \beta + U_{ij} + \epsilon_{ij} \]

  • \( Y_{ij} \): existence or value of tie
  • \( \beta_0 \): intercept
  • \( X_{ij} \): edge covariate matrix
  • \( \beta \): covariate slopes
  • \( U_{ij} \): latent structure

CID models

\( g \): link function:

  • Continuous outcome
  • Probit with cutoff
  • Probit with multiple cutoffs

Basic fitting

CID.Gibbs(rep.mat[,c("user1","user2")],
          components=list(LSM(2)),
          burnin=800, thin=10,
          draws=2000)

Latent space model

Latent space model

Latent space model

Latent vector model

Sender-receiver (beta) model