Advanced & Applied Topics · Network Analysis & Graph Theory

Network and graph analysis: Statistical models for network data

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Algebra of Networks and Probability

Overview

Topics covered

  • Introduction
  • Statistical Models for Network Data
  • General Introduction and Formalization of Networks
  • Spectral Theory and Linear Graph Algebra
  • 2.1 The Laplacian Matrix
  • 2.2 Normalized Laplacians

Related concepts

Main connections

  • Linear algebra & matrices
  • Calculus & differentiation
  • Maximum likelihood estimation
  • Mean & expected value
  • Poisson distribution
  • Variance & standard deviation

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

Aij={W(vi,vj)if (vi,vj)∈E0In another case
View LaTeX sourceA_{ij} = \begin{cases} W(v_i, v_j) & \text{if } (v_i, v_j) \in E \\ 0 & \text{In another case} \end{cases}