2024 Investiture Information

All Thayer Events

MS Thesis Defense: Felicia Schenkelberg



11:00am - 12:00pm ET

Rm 105, Cummings Hall/Online

Optional ZOOM LINK

"Leveraging Geometric Multi-Resolution Analysis in Signal, Image, and Network Learning"


Classical statistical techniques for classification have historically been tailored for scenarios wherein the number of observations significantly exceeds the number of features, a paradigm characteristic of low-dimensional datasets. However, recent advancements in technologies have ushered in a transformative era in data collection practices across diverse domains, resulting in the acquisition of extensive feature measurements. As a result of this shift, datasets have transitioned into a high-dimensional realm wherein the number of features significantly exceeds the number of observations, rendering classical statistical techniques such as least squares ill-suited. Analyzing such high-dimensional datasets presents immediate challenges owing to the intricacies of the dataset complexity and the wealth of information encapsulated within each data point. Fortunately, high-dimensional datasets often exhibit redundancy, where many individual features can be expressed through a combination of other features, thereby indicating an exploitable property suggesting that such high-dimensional datasets possess an intrinsic, underlying lower-dimensional structure. An analysis of dimensionality reduction techniques, specifically leveraging Geometric Multi-Resolution Analysis (GMRA) reveals an intrinsic low-dimensional structure across various types of datasets, including signals, images, and graphs and networks. Employing Geometric Multi-Resolution Analysis (GMRA) showcases the effective computation of low-dimensional representations within high-dimensional data spaces, thus offering concise yet informative depictions of the original datasets.

Thesis Committee

  • Professor Chin (Chair)
  • Professor Vaze
  • Professor Raymond


For more information, contact Thayer Registrar at thayer.registrar@dartmouth.edu.