Date of Award:

5-2026

Document Type:

Dissertation

Degree Name:

Doctor of Philosophy (PhD)

Department:

Mathematics and Statistics

Committee Chair(s)

Kevin Moon

Committee

Kevin Moon

Committee

Soukaina Filali Boubrahimi

Committee

Shuhan Yuan

Committee

Alan Wisler

Committee

Aryn Kamerer

Committee

Yan Sun

Abstract

This dissertation explores how modern artificial intelligence techniques can be used to better understand complex biological data. Specifically, it develops new machine learning based methods and applies them to two important biomedical problems: analyzing brain signals and studying protein behavior.

The first part of the work introduces a new machine learning approach designed to improve how computers classify structured data. Traditional neural networks are powerful but can sometimes generalize poorly. This research proposes a method that combines the flexibility of neural networks with the reliability of ensemble techniques, leading to more robust and accurate predictions across different types of datasets.

The second part focuses on auditory brainstem responses (ABRs), which are electrical signals generated by the brain in response to sound. These signals are commonly analyzed by clinicians, but feature extraction is often performed manually and requires training. This dissertation presents an automated system that models key features of these brain waves mathematically, allowing important characteristics such as timing and amplitude to be measured accurately and consistently.

The third part addresses how proteins unfold when heated, a process measured using differential scanning calorimetry. In complex biological mixtures, interpreting these measurements can be challenging. This work develops a computational framework that can adjust for measurement scaling differences and even learn previously unknown protein behavior directly from data.

Together, these studies demonstrate how artificial intelligence and optimization techniques can extract meaningful structure from complex biological signals, potentially improving biomedical research and future diagnostic tools.

Included in

Mathematics Commons

Share

COinS