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.
Excitons are bound electron-hole pairs, i.e., atomic-H like Bosonic quasiparticles, that determine many optical and optoelectronic properties of solid materials. Exciton formation and dissociation play decisive roles in next generation solar cells. In a conventional p-n junction solar cell, the built-in potential separates the photoexcited elect...
Creator:
Zhu, Xiaoyang (University of Minnesota, Twin Cities)
Created:
2008-11-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Joint work with Kourosh Shoele, Dept of Structural Engr, UCSD.Fins of bony fishes are characterized by a skeleton-reinforced membrane structure consisting of a soft collagen membrane strengthened by embedded flexible rays. Morphologically, each ray is connected to a group of muscles so that the fish can control the rotational motion of each ray ...
Creator:
Zhu, Qiang (University of California, San Diego)
Created:
2010-06-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Human Computer Interaction (HCI) researchers study not only the design of the interface but also the setting in which computing is embedded, the needs of people in various contexts, and the activities they engage in while using various forms of computing. In this talk, I will give a brief overview of the variety of research methods used in the H...
Creator:
Zhu, Haiyi (University of Minnesota, Twin Cities)
Created:
2018-03-05
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This work considers an optimal inventory control problem using a long-term average criterion. In absence of ordering, the inventory process is modeled by a one-dimensional diffusion on some interval of $(-\infty, \infty)$ with general drift and diffusion coefficients and boundary points that are consistent with the notion that demands tend to re...
Creator:
Zhu, Chao (University of Wisconsin, Milwaukee)
Created:
2018-05-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Classical phase field models for lipid phase separation tend to minimize the interface energy, ending up with large domains after separation. A biologically more relevant scenario is the formation of local lipid domains, centered around proteins or not, called lipid rafts, which can not be reproduced by using the classical lipid phase separation...
Creator:
Zhou, Yongcheng (Colorado State University)
Created:
2015-07-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We consider the problem of stopping a diffusion process with a payoff functional that renders the problem time inconsistent. We study stopping decisions of naive agents who reoptimize continuously in time, as well as equilibrium strategies of sophisticated agents who anticipate but lack control over their future selves' behaviors. When the state...
Creator:
Zhou, Xunyu (Columbia University)
Created:
2018-06-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We show that new families of accelerating and almost nondiracting beams (solutions) for Maxwell's equations can be constructed. These are complex geometrical optics (CGO) solutions to Maxwell's equations with nonlinear limiting Carleman weights. They have the form of wave packets that propagate along circular trajectories while almost pre-servin...
Creator:
Zhou, Ting (Northeastern University)
Created:
2017-04-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Cohomological ideas have recently been injected into persistent homology and have for example been used for accelerating the calculation of persistence diagrams by softwares, such as Ripser. The cup product operation which is available at cohomology level gives rise to a graded ring structure that extends the usual vector space structure and is ...
Creator:
Zhou, Ling (The Ohio State University)
Created:
2022-08-02
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Cryo-electron microscopy (EM) single particle reconstruction is an entirely general technique for 3D structure determination of macromolecular complexes. However, because the images are taken at low electron dose, it is extremely hard to visualize the individual particle with low contrast and high noise level. In this lecture, I will introduce a...
Creator:
, Zhizhen (Jane) Zhao
Created:
2019-10-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We show that there are supersonic solutions to theEuler system that are not hyperbolic in the traditionalsense. These solutions occur at the transonic region,whose characteristics may both come from the sonic line andend at the sonic line. Based on the new wave structure,we offer perspectives to construct global transonicsolutions to the Riemann...
Creator:
Zheng, Yuxi (The Pennsylvania State University)
Created:
2009-07-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Achieving accurate prediction of free energy using molecular dynamics simulations has been a central topic in computational biophysics in the past few decades. However, it is very challenging due to slow environment responses in biological systems. We introduce the orthogonal space sampling method to actively sample the environment responses alo...
Creator:
Zheng, Lianqing (Florida State University)
Created:
2015-07-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The celebrated Green-Tao theorem states that there are arbitrarily long arithmetic progressions in the primes. In this talk, I will explain the ideas of the proof and discuss our recent simplifications.One of the main ingredients in the proof is a relative Szemerédi theorem, which says that every relatively dense subset of a pseudorandom set of ...
Creator:
Zhao, Yufei (Massachusetts Institute of Technology)
Created:
2014-10-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The Poisson-Boltzmann (PB) equation is an effective model for the electrostatics analysis of solvated biomolecules. The nonlinearity associated with the PB equation is critical when the underlying electrostatic potential is strong, but is extremely difficult to solve numerically. Recently, we have developed several operator splitting methods to ...
Creator:
Zhao, Shan (University of Alabama)
Created:
2015-07-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
RIVET computes degree-Rips bifiltrations, a two-parameter version of the Vietoris Rips complex that takes the density of points into account. In a Rips complex, a simplex appears when all of its faces appear. When computing single parameter persistent homology, we can simply take the maximum time of appearance of its faces to be the time of appe...
Creator:
Zhao, Roy (University of California, Berkeley)
Created:
2018-08-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will talk about the random periodic solutions of random dynamical systems generated by stochastic differential equations and stochastic partial differential equations. I will start with definition and motivations of studying a random periodic solution, and discuss its connection with periodic measure. I will demonstrate that to find a random p...
Creator:
Zhao, Huaizhong (Loughborough University)
Created:
2012-10-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We present a direct imaging algorithm for both the location and geometry of extended targets. Our algorithm is based on a physical factorization of the response matrix of an active array. A resolution and noise level based thresholding is used for regularization. Our algorithm is extremely simple and efficient since no forward solver or iteratio...
Creator:
Zhao, Hongkai (University of California, Irvine)
Created:
2005-10-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.