Emmy Noether Room, Estella 1021, Pomona College,

Title: Designing Robust Networks of Coupled Phase Oscillators with Applications to the High-Voltage Electric Grid Abstract: A network is any collection of objects, called nodes, in which some pairs of these objects are connected by links, called edges. In a network of coupled phase-oscillators, each node represents a phase-angle (or an angle with periodicity) whose […]

Title: Mathematical models studying the effectiveness of control strategies for malaria Abstract: According to the 2023 World Malaria Report: Nearly half the world's population lives in areas at risk of malaria transmission in 85 countries and territories. In 2022, malaria caused an estimated 249 million clinical episodes, and 608,000 deaths. In this talk, we will […]

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Title: How well do neurons, humans, and artificial neural networks predict? Abstract: Sensory prediction is thought to be vital to organisms, but few studies have tested how well organisms and parts of organisms efficiently predict their sensory input in an information-theoretic sense.  In this talk, we report results on how well cultured neurons ("brain in […]

Title: The fractional p-Laplacian operator. Motivation for its definition and related boundary value problems Abstract: Last decades, nonlocal operators, as the fractional Laplacian, have gained to much attention due to its applications to several physical Phenomena. In this talk we aim to motivate the definition of the fractional laplacian operator through a simple but quite […]

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 dispersive media. The NLS equation with soliton solutions is one of the significant and widely pursued research areas on the nonlinear wave motions. Sub-studies on […]

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 differential equations, provides a vast number of interesting and challenging mathematical problems. One of the famous problems is that L. Rayleigh conjectured that the disk […]

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: 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 […]

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 […]