Unified Statistical Theory of Spectral Graph Analysis

TL;DR

This paper presents a universal statistical framework for spectral graph analysis by reformulating it as a nonparametric function estimation problem, unifying various existing techniques under a single formalism.

Contribution

It introduces a simple, universal statistical theory that encompasses most spectral graph analysis methods through a unified nonparametric approach.

Findings

Provides a formalism that unifies spectral graph techniques

Recasts spectral analysis as nonparametric function estimation

Simplifies understanding of spectral methods

Abstract

The goal of this paper is to show that there exists a simple, yet universal statistical logic of spectral graph analysis by recasting it into a nonparametric function estimation problem. The prescribed viewpoint appears to be good enough to accommodate most of the existing spectral graph techniques as a consequence of just one single formalism and algorithm.