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A Geometric Framework for Adversarial Vulnerability in Machine Learning

A Geometric Framework for Adversarial Vulnerability in Machine Learning

This work starts with the intention of using mathematics to understand the intriguing vulnerability observed by ~\citet{szegedy2013} within artificial neural networks. Along the way, we will develop some novel tools with applications far outside of just the adversarial domain. We will do this while developing a rigorous mathematical framework to …