Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

12-2025

Committee Chair or Co-Chairs

Jeff R Knisley

Committee Members

Mostafa Zahed, Robert A. Beeler

Abstract

Generative Adversarial Networks (GANs) are a class of deep learning models capable of producing realistic synthetic data that preserve the statistical and temporal characteristics of real datasets. The DoppelGANger (DGAN) framework extends this approach to time series data by jointly modeling temporal dependencies and contextual metadata. However, synthetic sequences generated by GAN may show temporal misalignment, resulting in inconsistencies when compared with real data. This study presents a postprocessing framework based on Dynamic Time Warping (DTW) and its differentiable extension Soft-DTW to improve the temporal alignment of synthetic time series. The framework is evaluated using quantitative measures of alignment and similarity. Results show that Soft-DTW enhances temporal coherence and statistical fidelity, demonstrating that the proposed postprocessing approach refines GAN-generated time series and improves their interpretability.

Document Type

Dissertation - unrestricted

Copyright

Copyright by the authors.

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