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, […]
During this student-centered Applied Math Seminar, there will be discussion and presentations about upcoming courses offered in applied mathematics, to help students make their enrollment choices for Spring 2024 and beyond.
Title: On the Composition of Classical Mechanical Systems Abstract: Compositionality is a basic principle for understanding the physical world. The underlying idea is to study a system by studying the ways in which the components of the system compose to form the system. Category theory is an area in mathematics that is particularly well-suited for […]
Title: Existence and multiplicity of solutions for a cooperative elliptic system using Morse theory This is joint work with Leandro Recova (Cal Poly Pomona) Abstract
Title: Tropical Linear Series Abstract: In this talk I'll attempt to give a friendly and example-driven introduction to the theory of linear series on tropical curves. While in some respects mirroring […]
Join us for the first talk in the joint seminar with CCMS Applied Math and the Universidad Nacional de Colombia Title Serre Conjecture. Geometric interpretation of the Quillen-Suslin Theorem. Abstract: The Quillen-Suslin theorem asserts that over the polynomial ring with coefficients in a field K, every projective module is free. Despite the algebraic nature of […]
This is the continuation of the semester's joint seminar with the Universidad Nacional de Colombia-Manizales. Title: Enumerating linearity regions of max-pooling layers in convolutional neural networks Abstract: Convolutional neural networks (CNN's) are central tools in the application of machine learning to text, audio and image processing. Their success stems from the ability of these networks to […]
Title: Graphical Anomaly Detection for High Dimensional and Object Data Abstract: Anomaly detection is an important task in data analysis, though an agreed upon definition of what constitutes an outlier does not exist. Accordingly, a graphical tool that can highlight interesting observations in a data set that the scientist can then investigate with domain specific […]
Title: Can a function tell us how immune cells kill? Speaker: Prof. Ami Radunskaya (Pomona College, Claremont CA) Abstract: The immune system is able to fight cancer by mustering and training an army of effector “killer” cells. Mathematical models of tumor-immune interactions must describe the proliferation, recruiting and killing rates of immune cells. Earlier work surprisingly showed that […]
Title: Geometric Optimization Involving Partial Differential Equations and Its Applications Speaker: Professor Chiu-Yen Kao, Claremont McKenna College, Claremont, CA USA Abstract: Optimal geometric design for energy functionals, which depends on solutions to partial […]
Title: On Nonlinear Schrödinger Type Equations: Wave Modulation and Mathematical Analysis Abstract: The nonlinear Schrödinger (NLS) equation describes the evolution of slowly varying packets of quasi-monochromatic waves in weakly nonlinear […]
