This is an introduction to the lectures and the tutorials. We will study different topics, differential geometric topic using analysis for the lectures and topological topics with numerical experiments for the tutorials. A survey for the knot energies will also be given.
Creator:
O'Hara, Jun (Chiba University)
Created:
2019-06-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Tuhin Sahai: Dynamical Systems and Continous Approximations for NP-hard Problems In this talk, we will explore the use of dynamical systems for approximating the solutions of NP-hard problems that arise in a wide variety of Industrial settings. In particular, we will investigate the use of dynamical systems for clustering networks and performing...
Creator:
Sahai, Tuhin (United Technologies Corporation); Swaminathan, Sumanth (W. L. Gore & Associates)
Created:
2015-04-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Viktoria Averina: Algorithm Development for Medical DevicesImplantable cardiac devices such as pacemakers and defibrillators can track and analyze patient's physiological data. I will showcase key steps of research and development of device-based respiratory monitoring: how one measures patient's respiratory function, why one would want to track...
Creator:
Averina, Viktoria A. (Boston Scientific); Sachs, Jeff (Merck & Co., Inc.)
Created:
2015-04-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
What new things can we make from 2D Materials? The possibilities are incredibly varied, from novel quantum systems to functional nanoscale machines. In this talk, I'll discuss three things we've built: a tunable 2D exciton, a thermal guitar, and a new class of self-folding origami devices.
Creator:
McEuen, Paul (Cornell University)
Created:
2017-05-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We begin with the generalization of electrostatic energy of charged knots, where we come across the difficulty of divergent integrals. Two kinds of regularization will be introduced, Hadamard regularization and the regularization via analytic continuation, both from the theory of generalized functions.
Creator:
O'Hara, Jun (Chiba University)
Created:
2019-06-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Given a near-perfect X-ray source, such as a synchrotron, then what are the reasonable options for image reconstruction? Back-projection reconstruction has dominated, with lambda tomography not receiving the attention it deserves. Give the computation power a the beamline, is it reasonable to perform both reconstructions so as to discern object ...
Creator:
Butler, Les G. (Louisiana State University)
Created:
2006-01-12
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I shall talk about building 3D models from image sequences, and inparticular about rendering new views of existing sequences in orderto create stereoscopic 3D from monocular footage. I shall show howexisting strategies for image-based rendering can be augmented usingimage-based priors to create realistic 3D views. In addition I willtalk about th...
Creator:
Fitzgibbon, Andrew (Microsoft Research)
Created:
2006-02-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
3D optical elements modulate light through interaction with an entirevolume of variable refractive index (as opposed to a sequence of surfacesused in traditional optics.) One commonly used form of 3D optics isgradient-index (GRIN) where the modulation is base-band. Instead, we haveemphasized use of modulations on a spatial carrier (grating.) We ...
Creator:
Barbastathis, George (Massachusetts Institute of Technology)
Created:
2005-11-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk I will describe recent results in the segmentationof relevant structures in electron tomography.We have developed novel techniques based onPDEs to work with this extremely hard data.I will describe the problem and the proposed solution,both at a tutorial level for a general audience.This is joint work with A. Bartesaghi and S. Subra...
Creator:
Sapiro, Guillermo R. (University of Minnesota, Twin Cities)
Created:
2006-01-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We will see that Hadamard regularization and the regularization via analytic continuation give essentially the same information. This part is rather technical, although it will save complicated computation afterward.
Creator:
O'Hara, Jun (Chiba University)
Created:
2019-06-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We apply the regularization via analytic continuation to generalized Riesz energies of submanifolds in Euclidean spaces to obtain Brylinski's beta function, which is a meromorphic function with simple poles. We study geometric information that can be derived from Brylinski's beta function.
Creator:
O'Hara, Jun (Chiba University)
Created:
2019-06-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Carbonara, Joaquin (Buffalo State - SUNY); Spirn, Daniel (University of Minnesota, Twin Cities); Symes, William W. (Rice University); Vernescu, Bogdan M. (Worcester Polytechnic Institute)
Created:
2014-04-08
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Hilbert bases, Graver bases and toric Gröbner bases are at the heart of many problems arising in mathematics or in practice. In this talk we present the main functionality and the algorithmic theory behind the software package 4ti2. Furthermore, we present applications (theoretical and computational) from various mathematical fields such as tori...
Creator:
Hemmecke, Raymond (Otto-von-Guericke-Universität Magdeburg)
Created:
2006-10-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A method to construct M\"obius invariant weighted inner products on the tangent spaces of the knot space by using M\"obius invariant knot energies will be introduced. It gives M\"obius invariant gradients of such energies."
Creator:
O'Hara, Jun (Chiba University)
Created:
2019-06-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This talk will describe a new approach for optimizing dynamic treatment regimes that bridges the gap between Bayesian inference and Q-learning. The proposed approach fits a series of Bayesian regression models, one for each stage, in reverse sequential order. Each model regresses the remaining payoff assuming optimal actions are taken at subsequ...
Creator:
Murray, Thomas (University of Minnesota, Twin Cities)
Created:
2018-11-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The human world is full of things that move: people travelling, inbuses and trains and cars and taxis, goods being shipped anddelivered, etc. etc. Sensors for recording these movements arebecoming cheaper and more widespread, from GPS-equipped mobile phonesto smart commuter cards, and so there is an explosion in the amount ofmovement data that i...
Creator:
Wischik, Damon (Urban Engines)
Created:
2015-10-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In an ab initio molecular dynamics calculation, the finite-temperature dynamics of a system is generated using forces obtained directly from electronic structure calculations performed 'on the fly' as the simulation proceeds. Within this approach, manybody forces, electronic polarization, and chemical bond-breaking and forming evnets are treated...
Creator:
Tuckerman, Mark E. (New York University)
Created:
2008-12-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this tutorial, we will show how to incorporate nuclear quantum effects into an ab initio molecular dynamics calculation via the Feynman path-integral formulation of quantum statistical mechanics. Important algorithmic advances needed to accelerate the convergence of the calculations will be discussed as well as approximation dynamical path-in...
Creator:
Tuckerman, Mark E. (New York University)
Created:
2008-12-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.