We describe the application of the implicit particle filter to a shallow water model of nearshore circulation. This is a model with approximately 30,000 state variables. We assimilate gridded observations of the two horizontal velocity components at each of 16 locations. Results are shown for two distinct flow regimes, one characterized by regul...
Creator:
Miller, Robert N (Oregon State University)
Created:
2013-03-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We discuss several applications of compressive sampling in the area of analog-to-digital conversion and biomedical imaging and review some numerical experiments in new directions. We conclude by exposing the participants to some important open problems.
Creator:
Candès, Emmanuel J. (California Institute of Technology)
Created:
2007-06-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Many results of persistence of quasi-periodic solutions(Kolmogorov, Arnold, Moser theory) can be recast in a-posteriori format. That is, given an approximate solution of an invariance equation, there is a true solution close to it. There are many applications of these a-posteriori format. Notably, one can take as approximate solutions the result...
Creator:
de la Llave, Rafael (Georgia Institute of Technology)
Created:
2015-11-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this tutorial, I will present a few specific applications in which the need for an explicit treatment of the electronic structure of the solute is particularly important and cannot be conveniently circumvented by developing a problem-specific force field. The examples include the computation of the pKa of organic acid in the electronically ex...
Creator:
Gao, Jiali (University of Minnesota, Twin Cities)
Created:
2008-12-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
When analyzing large networks, statisticians often assume a generative model in which the observed graph is assumed to come from a stochastic block model, i.e., a random graph with inhomogeneous edge probabilities given in terms of a small block matrix. A non-parametric version of these stochastic block models are so-called W-random graphs, give...
Creator:
Borgs, Christian (Microsoft Research)
Created:
2015-05-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
he reverse engineering of biological networks is an important andinteresting problem. Two examples of such networks are generegulatory networks, and the relationship of voxels in the brain. Wedescribe a method for determining possible 'wiring diagrams' for suchnetworks. The method is based on computational algebra, and a keypart of the method us...
Creator:
Stillman, Michael E. (Cornell University)
Created:
2006-09-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk we consider modern developments of the neoclassical growth model developed by Ramsey almost 90 years ago. One example is the extension to peer-to-peer banking, which leads to a vector optimization problem. Another aspect we consider is the extension of the model with a finite number of households which leads to an optimal control pr...
Creator:
Sachs, Ekkehard W. (Universität Trier)
Created:
2016-03-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk, we will discuss a variety of applications of persistent homology. We will begin with a quick overview of some of the classic examples of applications such as sensor networks and natural imagery. Then, we will explore a number of additional applications such as brain arteries, hyperspectral imagery, dynamical systems, and biological...
Creator:
Ziegelmeier, Lori (Macalester College)
Created:
2018-08-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.