Laying the Foundation for Homomorphic Training of Neural Networks

An Analysis of the Required Computational Accuracy
Erscheinungsjahr 2027
ISBN: 978-3-658-52914-7
Verlag: Springer

Buch, Englisch, 306 Seiten, Format (B × H): 148 mm x 210 mm

Reihe: BestMasters

As Artificial Intelligence becomes increasingly integrated into modern technology, the tension between data utility and individual privacy intensifies. Privacy-Preserving Machine Learning (PPML) addresses this conflict by utilizing techniques such as Homomorphic Encryption (HE), which enables computation on encrypted data. However, implementing HE in neural networks necessitates the use of functional approximations for complex non-linear operations, introducing errors that may affect model performance.

This book investigates the impact of these approximations through a novel simulation framework. By evaluating various network architectures—including Multi-Layer Perceptrons and Convolutional Neural Networks—across multiple datasets, the author analyses the effects of Taylor series, Newton-Raphson, and Chebyshev polynomial approximations, alongside realistic Gaussian noise. The findings reveal that neural networks are inherently resilient to these errors, often maintaining or even improving baseline accuracy. By establishing the necessary precision levels for common activation functions, this work demonstrates the feasibility of efficient homomorphic training, marking a vital advancement for secure and private machine learning.

Zielgruppe

Research

Autoren/Hrsg.

Horn, Lukas Johannes

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Maschinelles Lernen
• Mathematik | Informatik EDV | Informatik Computerkommunikation & -vernetzung Netzwerksicherheit
• Mathematik | Informatik EDV | Informatik Technische Informatik Computersicherheit

Inhaltsverzeichnis

Introduction.- Background.- Related Work.- Approach.- Evaluation.- Conclusion.

Über Autor(innen)

Lukas Horn completed both his bachelor's and master's degrees at the Institute of Computer Science at the University of Würzburg, where he is currently a research assistant at the Chair of Software Engineering. His research focuses on the field of privacy-preserving machine learning, with a specialization in homomorphic encryption.