1. Hodge Laplacians on Sequences and Dimensionality Reduction Open Access Author: Santa Cruz, Hannah Rocio Title: Hodge Laplacians on Sequences and Dimensionality Reduction Graduate Program: Mathematics Keywords: LaplacianSequential dataEmbeddingfeature spaceHodge LaplacianSimplicial complexes File: Download Final_Thesis.pdf Committee Members: Pierre-Emmanuel Jabin, Program Head/ChairDezhe Jin, Outside Unit & Field MemberJeffrey Case, Major Field MemberCarina Curto, Major Field MemberVladimir Itskov, Chair & Dissertation Advisor