Applied Math Seminar

Title: Understanding SARS-CoV-2 viral rebounds with and without treatments. Abstract: In most instances, the characteristics of SARS-CoV-2 mirror the patterns of an acute infection, with viral load rapidly peaking around 5 days post-infection and subsequently clearing within 2 weeks. However, some individuals show signs of viral recrudescence of up to 10000 viral RNA copies/mL shortly […]

Title: The Hartman-Watson distribution: numerical evaluation and applications in mathematical finance Abstract: The Hartman-Watson distribution appears in several problems of applied probability and financial mathematics. Most notably, it determines the joint distribution of the time-integral of a geometric Brownian motion and its terminal value. A classical result by Yor (1981) expresses it as a one-dimensional […]

Title:  Recalibration of Predicted Probabilities Using the "Logit Shift": Why Does It Work, and When Can It Be Expected to Work Well? Abstract: In the context of election analysis, researchers frequently face the "recalibration problem." That is: they must reconcile individual-level vote probabilities, modeled prior to the election, with vote totals observed in each precinct […]

Title Control algorithms for unmanned underwater vehicles: new approaches based on Hamilton-Jacobi equations and reinforcement learning. Abstract Unmanned underwater vehicles (UUVs) are defined by their ability to operate without direct human intervention.  As a result, UUVs are valuable for surveillance tasks, especially in the presence of hazardous environmental conditions. Specific applications of UUVs include seafloor mapping, […]