First Advisor

Dacian Daescu

Term of Graduation

January 2026

Date of Publication

6-1-2026

Document Type

Dissertation

Language

English

Subjects

Explainable AI, Mathematical Optimization, Neural Networks, Sensitivity Analysis

Physical Description

1 online resource ( pages)

Abstract

Understanding how model predictions and training outcomes vary with changes in data, features, and modeling choices is central to explainable artificial intelligence. This dissertation introduces a unified framework for explainability by generalizing classical influence functions to encompass user-defined hyperparameters embedded in the training loss, model architecture, or data representation. By extending influence functions in this way, the framework broadens their applicability and integrates multiple explainability techniques into a single, coherent approach. It provides a common mathematical foundation linking data impact, feature importance, and model design analysis, and supports a broad class of additional explainability analyses beyond these settings. The demonstrated applications are validated across diverse neural network settings. In addition, we evaluate the practical feasibility of the proposed framework for large-scale models. Collectively, this work positions sensitivity analysis via hyperparameter-extended influence functions as a practical and scalable basis for explainability in modern machine learning systems.

Rights

In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).

Available for download on Saturday, June 26, 2027

Included in

Mathematics Commons

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