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.
Examples of application of QM continuum models to the study of solvent effects on molecular properties and spectroscopies are presented and discussed together with their generalizations to hybrid continuum/discrete approaches in which the presence of specific interactions (e.g. solute-solvents H-bonds) is explicitly taken into account by includi...
Creator:
Mennucci, Benedetta (Università di Pisa)
Created:
2008-12-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Data has shape. Shape has meaning. I will discuss how Topological Data Analysis (TDA) has been applied to various biological problems such as identifying patient populations that might respond better to certain treatments, understanding the underlying etiology of a disease such as cancer and studying drug response at the single cell level.
Creator:
Lum, Pek (Ayasdi, Inc.)
Created:
2013-12-10
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk, we will address two fundamental problems in time series analysis: The problem of filtering (or extracting) low-frequency trend, and the problem of interpolating missing data. We propose nonparametric techniques to solve these two problems. These techniques are based on the empirical mode decomposition (EMD), and accordingly they ar...
Creator:
Moghtaderi, Azadeh (Queen's University)
Created:
2011-09-08
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.