Report of 3rd Seminar Hosted by Student Council

Seminar Hosted by Center for Adaptive Neural Systems

Presenter: Seung-Jae Kim, PhD University of Utah Abstract: Cochlear implants (CIs) have been successfully used by many individuals with profound hearing impairment. However, problems remaining in the CIs include poor spatial resolution, and crosstalk between electrodes. In order to overcome these problems, direct intraneural stimulation of the auditory nerve (AN) via penetrating electrode array...

Graduate Student Seminar Day

This project concerns the most effective dimension reduction (EDR) space in functional regression settings. Our investigation is motivated by finding a smaller set of derived variables that contains just as much predictive power as the original set. The main idea originated from cumulative slicing for multivariate data in Zhu et al. (2010 JASA), which assesses the EDR space by cumulatively pool...

Student Seminar Reports

Graduate Student Number Theory Seminar

This talk is based primarily on the paper Interlacing Families I: Bipartite Ramanujan Graphs of All Degrees by Marcus, Spielman, and Srivastava [6]. By proving a variant of a conjecture of Bilu and Linial [1], they show that there exist infinite families of d-regular bipartite Ramanujan graphs for d ≥ 3. Of particular interest in the paper by Marcus, Spielman, and Srivastava is their “method of...

Student Seminar Talk HAUSDORFF DIMENSION

We are familiar with the idea that a curve is a 1-dimensional object and a surface is 2-dimensional. What is the “dimension” of a set having infinite length but zero area? Similarly, the Cantor set has Lebesgue measure zero, but in some ways it is quite large (it is uncountable). How to quantify its size? In this talk we will answer these questions through the notions of Hausdorff measure and d...