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Event Description: Alireza Doostan, Department of Aerospace Engineering Sciences, University of Å·ÃÀ¿Ú±¬ÊÓƵ Boulder Uncertainty Quantification Using Low-fidelity Data Realistic analysis and design of multi-disciplinary engineering systems require not only a fine understanding and modeling of the underlying physics and their interactions but also recognition of intrinsic uncertainties and their influences...

Event Description: Sean O'Rourke, Department of Mathematics, University of Å·ÃÀ¿Ú±¬ÊÓƵ Boulder Singular values and vectors under random perturbation Computing the singular values and singular vectors of a large matrix is a basic task in high dimensional data analysis with many applications in computer science and statistics. In practice, however, data...

Event Description: Ben Herbst, Division of Mathematical Sciences, Stellenbosch University Models in Applied Mathematics I’ll discuss three different but not necessarily mutually exclusive, types of models: Deterministic models (for want of a better term), neural networks and in particular deep neural networks, and probabilistic models in particular probabilistic graphical models...

Event Description: Soutir Bandyopadhyay, Department of Mathematics, Lehigh University A spectral domain test for stationarity of spatial and spatio-temporal processes. Many random phenomena in the environmental and geophysical sciences are functions of space or both space and time and one important aim is to develop statistical models based on what...

Event Description: Ziad Musslimani, Department of Mathematics, Florida State University PT symmetric optics: Mathematical and experimental challenges In quantum theory a Hamiltonian describing physical system is mathematically represented by a self-adjoint linear operator to ensure that the energy levels are all real and that the time evolution of the system...

Event Description: Cheryl Harrison, National Center for Atmospheric Research (NCAR), Boulder CO Coherent structures in the ocean: identification and applications Following the visualization of the ocean surface by satellites in the 1970’s, progress has been made in understanding both the dynamics and biogeochemical/ecosystem effects of mesoscale ocean eddies. However, the...

Event Description: Brad Reisfeld, Department of Chemical and Biological Engineering, Å·ÃÀ¿Ú±¬ÊÓƵ State University The use of mathematical modeling to characterize the disposition and effects of xenobiotics in humans Most people are exposed to countless foreign chemicals (xenobiotics) throughout their lifetimes. Some of these chemicals provide important therapeutic effects while others...

Event Description: Zachary Kilpatrick, Department of Applied Mathematics, University of Å·ÃÀ¿Ú±¬ÊÓƵ Boulder Evidence accumulation in dynamic environments Models of evidence accumulation are of interest in disciplines ranging from neuroscience to robotics to psychology. In a constantly changing world, agents must account for environmental volatility and appropriately discount old information when...

Event Description: Yu-Jui Huang, Department of Applied Mathematics, University of Å·ÃÀ¿Ú±¬ÊÓƵ Boulder Healthcare and Consumption with Aging Healthcare slows the natural growth of mortality, indirectly increasing utility from consumption through longer lifetimes. This paper solves the problem of optimal dynamic consumption and healthcare spending with isoelastic utility, when natural mortality...

Event Description: Matt McQueen, Department of Integrated Physiology, University of Å·ÃÀ¿Ú±¬ÊÓƵ Boulder What is Big Data and Why Should I Care? Lessons from Human Genomics Over the past decade, the rapid advance of technology has resulted in an unprecedented amount of molecular and genetic data. For biomedical researchers, these data...