Representation learning, and in particular graph representation, is one of the most important cross-disciplinary machine learning techniques to have emerged in the last five years with significant impact in a host of domain applications including computer science (natural language processing, … Read more
Discussions about different areas of research, advisors.
Large Deviations for Small Noise Diffusions Over Long Time Abstract: We study two problems. First, we consider the large deviation behavior of empirical measures of certain diffusion processes as, simultaneously, the time horizon becomes large and noise becomes vanishingly small. … Read more
Semidefinite programs (SDPs) are some of the most popular and widespread optimization problems to emerge in the last thirty years. A curious pathology of SDPs is illustrated by a famous example of Khachiyan: feasible solutions of SDPs may need exponential space to … Read more
Factoring Polynomials via the Splitting Circle Method Abstract: Finding the roots of a polynomial is an ill-conditioned problem that requires numerical methods in the general case. Unfortunately, most existing numerical methods do not guarantee convergence when working in finite precision. … Read more
The modeling and computational hurdles in transitioning from engineered to biological polymeric systems
Grouped integrative dynamic factor models for intra-and inter- individual brain networks Abstract: We introduce a novel framework for dynamic factor model-based data integration of multiple subjects, Grouped Integrative Dynamic factor models (GRIDY). This work is a pilot study to suggest … Read more
Julie Swann Department of Industrial and Systems Engineering North Carolina State University Analytics to Promote an Efficient, Effective, and Equitable Response to the Covid-19 Pandemic Planning and response to the Covid-19 pandemic is complex but can be informed by analytics … Read more
Qian Cheng 4-4:20 pm Aggregate Early Bed Requests for Admitted Patients in an Emergency Department Abstract: Long emergency department (ED) boarding is associated with adverse patient health outcomes and leads to ED crowding. The current practice is to request hospital … Read more
KPZ Fluctuations of Sticky Brownian Motion Sticky Brownian motion is a type of diffusion consisting of many interacting particles, where each individual particle behaves as standard Brownian motion but collectively the different particles may stick together and separate repeatedly. The … Read more
Data science outreach partnership with the North Carolina School of Science and Math Abstract: The North Carolina School of Science and Math is a two-year public high school for residents of North Carolina that focuses intensively on science, mathematics, and … Read more
Convergence of Gaussian kernelized graph Laplacian: eigen-convergence and bi-stochastic normalization Consider kernelized graph affinity matrix constructed from $N$ data points i.i.d. sampled from a general unknown $d$-dimensional manifold embedded in a possibly high-dimensional space. The setting is generic in graph-based … Read more
Group advising session with undergrad advisors Will Lassiter and Remi Abayomi will be held on Monday October 17th from 5-6pm in Hanes 130.
