Matteo Melis

Academic Writings

Research Contributions

Improving Certified Robustness via Adversarial Distillation

TL;DR: We implement a novel certified training method combining adversarial knowledge distillation from an empirically robust teacher with IBP bounds, achieving state-of-the-art certified accuracy across multiple benchmarks.

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Implementing SOTA PTQ Algorithm - AMD Internship Presentation

Implementation details and core idea of state of the art post training quantization algorithm Qronos.

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Undergraduate Writings

The Klein Four-Group

Characterising Klein Four-Group (V4) constructions in the group of units of the integers modulo k and lifting these embeddings to the multiplicative semi group of the integers modulo n. Additionally, we explore V4's role in polynomial solvability.

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An Algebraic Analysis of Gaussian Numbers

A deep dive into Gaussian numbers and their interplay with the algebraic structure of Gaussian integers. We then leverage these tools to recover classical results such as Fermat's two square theorem and extending this to higher dimensional analogues.

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Automated Facial Detection Using Machine Learning

A comparitive study between different ML techniques for automated facial detection.

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Algebraic Structures in Cryptography

A brief overview paper of the algebraic structures that underpin the RSA Algorithm and Elliptic Curve Cryptography.

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