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.
We develop computational and experimental methods to gain insights into visual functions and psychiatric disorders. We also build deep learning models that predict human behaviors and identify people with disorders. In this talk, I will share our recent innovations on data and models, aiming at understanding and predicting visual attention in na...
Creator:
Zhao, Catherine Qi (University of Minnesota, Twin Cities)
Created:
2017-02-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This paper presents a novel nonlinear framework for the construction of flexible multivariate dependence structure~(i.e., copula) from existing copulas based on a straightforward "pairwise max" rule. The newly constructed max-copula has a closed form and has strong interpretability. Compared to the classical "linear symmetric" mixture copula, th...
Creator:
Zhang, Zhengjun (University of Wisconsin, Madison)
Created:
2018-02-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We first give a brief overview of American option pricing models and numerical methods. We treat American option models as a special class of obstacle problems. Finite element formulation is introduced together with error analysis of numerical solutions. Some interesting properties about sensitivity of the option price to the payoff function are...
Creator:
Zhang, Yongmin (NONE)
Created:
2009-02-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Studies on the break-up of a liquid drop or an air bubble reveal that the dynamics prior to a singularity can have several forms, ranging from universal, with no memory of the initial state, or integrable, which has a complete memory. We find that how an air bubble disconnects from an underwater nozzle is associated with an unusually rich class ...
Creator:
Zhang, Wendy W. (University of Chicago)
Created:
2008-07-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.