Mathematics

Topological data analysis (TDA) is an approach to the analysis of datasets using techniques from topology. The main tool is persistent homology, an adaptation of homology to point cloud data. Persistent homology has been applied to many types of data across many fields. Until quite recently, the theoretical aspects of TDA and topological inference mostly relied on deterministic approaches. These ... Read More

Motivated by applications as a kernel of nonlinear regression algorithms, the row-wise weighted total least squares regression problem is examined to find a consistent and accurate estimator. Specifically, the estimator will have a time complexity linear in the number of observations and a space complexity constant in the same value, as the number of observations can be quite large in ... Read More

In this presentation we will be studying the Special Orthogonal group which consists of matrices that are orthogonal with determinant 1. The values in our matrices are in a finite field of characteristic 2, this means we are working modulo 2. The goal of this research is to characterize the involutions for this group. Applications of our research can be ... Read More