In recent years, enhanced light-matter interactions through a plethora of dipole-type polaritonic excitations have been observed in two-dimensional (2D) layered materials. In graphene, electrically tunable and highly confined plasmon-polaritons were predicted and observed, opening up opportunities for optoelectronics, bio-sensing and other mid-i...
Creator:
Low, Tony (University of Minnesota, Twin Cities)
Created:
2017-02-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In recent years, enhanced light-matter interactions through a plethora of dipole-type polaritonic excitations have been observed in two-dimensional (2D) layered materials. In graphene, electrically tunable and highly confined plasmon-polaritons were predicted and observed, opening up opportunities for optoelectronics, bio-sensing and other mid-i...
Creator:
Low, Tony (University of Minnesota, Twin Cities)
Created:
2017-02-08
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In recent years, enhanced light-matter interactions through a plethora of dipole-type polaritonic excitations have been observed in two-dimensional (2D) layered materials. In graphene, electrically tunable and highly confined plasmon-polaritons were predicted and observed, opening up opportunities for optoelectronics, bio-sensing and other mid-i...
Creator:
Low, Tony (University of Minnesota, Twin Cities)
Created:
2017-02-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Machine learning, computational statistics, and signal reconstructionin compressed sensing have proved to be a rich source of interestingand challenging optimization problems in recent years. In these andother fields, the optimization formulations require the computedsolution to satisfy some structural requirements (such as sparsity orlow total ...
Creator:
Wright, Stephen (University of Wisconsin, Madison)
Created:
2012-03-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In the past few years, we have experienced a paradigm shift in human genetics. Accumulating lines of evidence have highlighted the pivotal role of rare genetic variations in a wide variety of traits and diseases. Studying rare variations is a needle in a haystack problem, as large cohorts have to be assayed in order to trap the variations and ga...
Creator:
Erlich, Yaniv (Whitehead Institute for Biomedical Research)
Created:
2012-02-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Group testing was formalized by Dorfman in his 1943 paper and was originally used in WW-II to identify soldiers with syphilis. The main insight in this application is that blood samples from different soldiers can be combined to check if at least one of soldiers in the pool has the disease. Since then group testing has found numerous application...
Creator:
Rudra, Atri (University at Buffalo (SUNY))
Created:
2012-02-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Statistical inference for large scale factorization and latentvariable model problems is challenging. It requires the ability topartition the state space, to synchronize copies, and to performdistributed updates. Such problems arise in very large scale topicmodels dealing with 500 million documents, and in graph factorizationproblems with 200 mi...
Creator:
Smola, Alexander Johannes (Yahoo! Inc.)
Created:
2012-03-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Understanding the global-scale dynamics of the chemical composition of our atmosphere is essential for addressing a wide range of environmental issues from air quality to climate change. Understanding this phenomenon enables us to evaluate and devise appropriate environmental policies, such as the Kyoto Protocol on global greenhouse gases emissi...
Creator:
Santillana, Mauricio (Harvard University)
Created:
2011-04-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Geophysical flows are a rich source of novel problems for applied mathematics and the contemporary theory of partial differential equations. The reason for this is that many physically important geophysical flows involve complex nonlinear interaction over multi-scales in both time and space so developing simplified reduced models which are simpl...
Creator:
Majda, Andrew J. (New York University)
Created:
2011-04-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Whether modeling is performed on a local, regional or global scale, for scientific or engineering purposes, uncertainty is inherently present due to lack of data and lack of understanding of the underlying phenomena and processes taking place.In this tutorial, we will discuss tools available for modeling uncertainty of complex Earth systems as w...
Creator:
Gerritsen, Margot (Stanford University)
Created:
2011-04-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The general circulation of the ocean plays a major role in the global climate system, and the local circulation in near-shore regions is also of substantial scientific and societal interest. This talk will give an introduction to some of the physical and computational issues that arise when ocean circulation is modeled numerically. These include...
Creator:
Higdon, Robert L. (Oregon State University)
Created:
2011-04-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A treatment regime formalizes personalized medicine as a function from individual patient characteristics to a recommended treatment. A high-quality treatment regime can improve patient outcomes while reducing cost, resource consumption, and treatment burden. Thus, there is tremendous interest in estimating treatment regimes from observational a...
Creator:
Laber, Eric (North Carolina State University)
Created:
2017-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The aim of this tutorial is to present basic results (e.g., oncontrollability, observability, feedback laws...) in control theory ofsystems modeled by ordinary differential equations. First, we give theclassical results for linear control systems. Then, we give the directapplications of this linear theory to local results for nonlinearcontrol sy...
Creator:
Coron, Jean-Michel (Université de Paris VI (Pierre et Marie Curie))
Created:
2009-03-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This talk will present an introduction to some of the key principles and tools from feedback control theory. The two main design principles that will be explored is the role of feedback as a tool for managing uncertainty, and the use of feedback to design the dynamics of a system. Examples from engineering and nature will be used to illustrate s...
Creator:
Murray, Richard M. (California Institute of Technology)
Created:
2008-04-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this tutorial, we will present the hybridizable discontinuous Galerkin (HDG) methods for diffusion problems. We will describe the main idea for devising them and will explain how to implement them efficiently. We will then compare the methods with mixed methods and the continuous Galerkin methods. Finally, we will discuss the convergence prop...
Creator:
Cockburn, Bernardo (University of Minnesota, Twin Cities)
Created:
2010-10-30
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
* Expressing variational problems in FEniCS* Annotation and visualizing the computational graph* Adjoining and using the adjoint for optimization* Mesh independence and optimization libraries* Possible examples:- standard linear-quadratic elliptic problem - Dirichlet control of Stokes- topology optimization of pipes in Stokes flow- MPECs via reg...
Creator:
Farrell, Patrick (University of Oxford)
Created:
2016-06-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
1. Introduction and Motivation-What are Inverse problems?-Examples: detection of contaminant sources, image and voice recognition, medical imaging, subsurface imaging, materials identification2. Theoretical aspects of (discrete) inverse problems-Why are inverse problems (oftentimes) difficult to solve?-Well-posed and ill-posed problems: existenc...
Creator:
Aquino, Wilkins (Duke University)
Created:
2016-06-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Julia is a relatively new programming language that combines many of the best features of languages like Python and tools like Matlab. One interacts with Julia like other high-level scripting languages, e.g., through Jupyter notebooks, yet Julia has excellent computational performance because it is built on top of the LLVM compiler. This tutoria...
Creator:
Fessler, Jeff (University of Michigan)
Created:
2019-10-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
1. Quick intro of example shape optimization problems.2. Review differential geometry for curves/surfaces: parametric surfaces, normal vector, curvature, shape operator, etc.3. Review surface differential operators: surface gradient/Laplacian, shape operator, integration by parts on surfaces, etc.4. Intro shape perturbations: material and shape ...
Creator:
Walker, Shawn W. (Louisiana State University)
Created:
2016-06-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.