DeepAI
Log In Sign Up

Local, global and scale-dependent node roles

05/26/2021
by   Michael Scholkemper, et al.
0

This paper re-examines the concept of node equivalences like structural equivalence or automorphic equivalence, which have originally emerged in social network analysis to characterize the role an actor plays within a social system, but have since then been of independent interest for graph-based learning tasks. Traditionally, such exact node equivalences have been defined either in terms of the one hop neighborhood of a node, or in terms of the global graph structure. Here we formalize exact node roles with a scale-parameter, describing up to what distance the ego network of a node should be considered when assigning node roles - motivated by the idea that there can be local roles of a node that should not be determined by nodes arbitrarily far away in the network. We present numerical experiments that show how already "shallow" roles of depth 3 or 4 carry sufficient information to perform node classification tasks with high accuracy. These findings corroborate the success of recent graph-learning approaches that compute approximate node roles in terms of embeddings, by nonlinearly aggregating node features in an (un)supervised manner over relatively small neighborhood sizes. Indeed, based on our ideas we can construct a shallow classifier achieving on par results with recent graph neural network architectures.

READ FULL TEXT

page 1

page 2

page 3

page 4

03/01/2020

Ego-based Entropy Measures for Structural Representations

In complex networks, nodes that share similar structural characteristics...
10/04/2016

Revisiting Role Discovery in Networks: From Node to Edge Roles

Previous work in network analysis has focused on modeling the mixed-memb...
10/05/2020

CopulaGNN: Towards Integrating Representational and Correlational Roles of Graphs in Graph Neural Networks

Graph-structured data are ubiquitous. However, graphs encode diverse typ...
11/19/2018

Role action embeddings: scalable representation of network positions

We consider the question of embedding nodes with similar local neighborh...
09/11/2020

Beyond Localized Graph Neural Networks: An Attributed Motif Regularization Framework

We present InfoMotif, a new semi-supervised, motif-regularized, learning...
06/18/2020

A unified framework for equivalences in social networks

A key concern in network analysis is the study of social positions and r...
12/25/2019

A Logical Model for Supporting Social Commonsense Knowledge Acquisition

To make machine exhibit human-like abilities in the domains like robotic...