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The Graduate School and University Center of The City University of New York

Finite Gaussian Neurons: Defending Against Adversarial Attacks by Making Neural Networks Say "I Don’t Know"

Abstract

dc:description.abstract

<p>In this work, I introduce the Finite Gaussian Neuron (FGN), a novel neuron architecture for artificial neural networks aimed at protecting against adversarial attacks.<br />Since 2014, artificial neural networks have been known to be vulnerable to adversarial attacks, which can fool the network into producing wrong or nonsensical outputs by making humanly imperceptible alterations to inputs. While defenses against adversarial attacks have been proposed, they usually involve retraining a new neural network from scratch, a costly task.</p> <p>My works aims to:<br />- easily convert existing models to Finite Gaussian Neuron architecture, <br />- while preserving the existing model's behavior on real data, <br />- and offering resistance against adversarial attacks.</p> <p>I show that converted and retrained Finite Gaussian Neural Networks (FGNN) always have lower confidence (i.e., are not overconfident) in their predictions over randomized and Fast Gradient Sign Method adversarial images when compared to classical neural networks, while maintaining high accuracy and confidence over real MNIST images. <br />To further validate the capacity of Finite Gaussian Neurons to protect from adversarial attacks, I compare the behavior of FGNs to that of Bayesian Neural Networks against both randomized and adversarial images, and show how the behavior of the two architectures differs. <br />Finally I show some limitations of the FGN models by testing them on the more complex SPEECHCOMMANDS task, against the stronger Carlini-Wagner and Projected Gradient Descent adversarial attacks.</p> <p>The code used for this work is available at <a href="https://github.com/grezesf/FGN---Research">https://github.com/grezesf/FGN---Research</a> under the GPL 3.0 open source license. Work done with PyTorch.</p>

Degree

thesis:*
Name thesis:degree_name
Doctor of Philosophy
Level thesis:degree_level
Doctoral
Discipline thesis:degree_discipline
Computer Science
Grantor
The Graduate School and University Center of The City University of New York
Year dc:date.available
2022

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Grezes, Felix
Advisor dc:contributor.advisor
  • Michael I. Mander
Committee members dc:contributor.committeemember
  • Rivka Levitan
  • Ioannis Stamos
  • Andrew Rosenberg

Subjects

dc:subject × 4

Identifiers

dc:identifier.*
Repository record dc:identifier
https://academicworks.cuny.edu/gc_etds/5129
OAI identifier oai:identifier
oai:academicworks.cuny.edu:gc_etds-6155

Chain of custody

source
Harvested from
City University of New York - Graduate Center
Base URL
academicworks.cuny.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Grezes, Felix. Finite Gaussian Neurons: Defending Against Adversarial Attacks by Making Neural Networks Say "I Don’t Know". Doctoral thesis, The Graduate School and University Center of The City University of New York, 2022. https://academicworks.cuny.edu/gc_etds/5129