Dr. Tadele Mengesha Professor at the University of Tennessee
Title: Introduction to nonlocal operators and equations
Abstract: Nonlocal models are becoming commonplace across application. Typically these models are formulated using integral operators and integral equations, in lieu of the commonly used differential operators and differential equations. In this introductory lecture, I will present main properties of these nonlocal operators and equations. Tools of analyzing them such as nonlocal calculus, methods of showing well posedness of models, as well as corresponding solution/function spaces will be discussed. Behavior of solutions of nonlocal equations as a function of a measure of nonlocality will be analyzed. For example, with proper scaling, we will confirm consistency of models by showing that in the event of vanishing nonlocality, a limit of such solutions solve a differential equation. We will demonstrate all these in two model examples: a nonlocal model of heat conduction and a system of coupled equations from nonlocal mechanics.
Dr. Fei Liu Senior Vice President at Bank of America
Title: Modeling Applications in the Bank
Abstract:. The applications of the statistical modeling and machine learning have a wide scope in the realm of banking, ranging from credit risk assessment, to fraud detection, pricing, and customer service. In this lecture, I will introduce a variety of problems these technologies help resolve in the banking business, and the unique challenges using modeling in a highly regulated industry. By facilitating informed decisions, improving customer experiences, and addressing industry-specific challenges, the statistical modeling and machine learning are propelling the banking sector towards a more dynamic and customer-centric future.