Linear Threshold Models - Diffusion models

Diffusion Models

Diffusion models were originally used in social networks to model the spread of influence in a network. In these models each node is either active or inactive. Over iterations an inactive nodes becomes active as more of its neighbors become active.

Linear Threshold Model

The Linear Threshold Model is one of the most popular diffusion models.

Given

• a set of active nodes as seeds
• a threshold θ for each node selected uniformly at random

At each step, an inactive node becomes active if the sum of the weights of the edges with active neighbors exceeds the threshold θ .