Date of Graduation

5-2021

Document Type

Thesis

Degree Name

Bachelor of Science

Degree Level

Undergraduate

Department

Computer Science and Computer Engineering

Advisor/Mentor

Zhan, Justin

Committee Member/Reader

Patitz, Matthew

Committee Member/Second Reader

Gauch, Susan

Abstract

In the modern age of social media and networks, graph representations of real-world phenomena have become incredibly crucial. Often, we are interested in understanding how entities in a graph are interconnected. Graph Neural Networks (GNNs) have proven to be a very useful tool in a variety of graph learning tasks including node classification, link prediction, and edge classification. However, in most of these tasks, the graph data we are working with may be noisy and may contain spurious edges. That is, there is a lot of uncertainty associated with the underlying graph structure. Recent approaches to modeling uncertainty have been to use a Bayesian framework and view the graph as a random variable with probabilities associated with model parameters. Introducing the Bayesian paradigm to graph-based models, specifically for semi-supervised node classification, has been shown to yield higher classification accuracies. However, the method of graph inference proposed in recent work does not take into account the structure of the graph. In this paper, we propose Neighborhood Random Walk Sampling (NRWS), a Markov Chain Monte Carlo (MCMC) based graph sampling algorithm that utilizes graph structure, improves diversity among connections, and yields consistently competitive classification results compared to the state-of-the-art in semi-supervised node classification.

Keywords

Semi-Supervised Learning, Graph Neural Networks, Bayesian Inference, Node Classification, Markov Chain Monte Carlo

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