A Bayesian Framework for the Solution of High-Dimensional Stochastic PDEs March 19, 2012 4:10 p.m. Nicholas J. Zabaras Abstract Computer codes that model physical phenomena or engineering processes depend on a number of uncertain input parameters. In this presentation, we discuss the development of an efficient, Bayesian Uncertainty Quantification (UQ) framework using a novel treed […]
Bootstrapping Independent Component Analysis April 6, 2012 1:00 p.m. Zhuqing Yu Abstract: Independent component analysis (ICA) is possibly the most wide spread approach to solve the blind source separation problem. Many different algorithms have been proposed, together with several highly successful applications. There is also an extensive body of work on the theoretical foundations and […]
Statistical Methods for Exploring Metabolic Networks September 26, 2011 11:00 a.m. Erkki Somersalo Abstract One of the great challenges in medical research is to understand the functioning of metabolic systems and how the genes express themselves on the phenotype level. In this talk we take a look at complex metabolic networks in various organs such […]
Robust Parameter Mesh-Free Preconditioner for a Boundary Control Elliptic Problem March 5, 2012 3:00 p.m. Marcus Sarkis Abstract We discuss the following problem: Given a domain Ω and a target function u, what should be the Neumann data λ so that its harmonic extension u(λ) into the domain Ω is the closest function to u […]
Fekete-Gauss spectral elements with application to Navier-Stokes flows March 6, 2012 3:00 p.m. Richard Pasquetti Abstract Spectral element methods on simplicial meshes (TSEM) show both the advantages of spectral and finite element methods, i.e. spectral accuracy and geometry flexibility. We first summarize works previously done for elliptic problems and then present a TSEM solver of […]