Advanced & Applied Topics · Network Analysis & Graph Theory

Network and graph analysis: Inference, sampling, and hypothesis testing

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Mathematical Statistics · Network Analysis

Overview

Topics covered

  • Introduction
  • Network and Graph Analysis: Inference, Sampling and Hypotheses
  • From graph description to network inference
  • 1.1 Structure of the Treatise
  • Fundamentals of graph theory and advanced matrix representation
  • 2.1 The Laplacian of a Graph and Spectral Theory

Related concepts

Main connections

  • Linear algebra & matrices
  • Permutation & exact tests
  • Maximum likelihood estimation
  • Markov chain Monte Carlo (MCMC)
  • Calculus & differentiation
  • Bayes' theorem & priors

Compatible notation

Mathematical sample in LaTeX

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

|𝒢n|=2(n2)=2n(n−1)2
View LaTeX source|\mathcal{G}_n| = 2^{\binom{n}{2}} = 2^{\frac{n(n-1)}{2}}