Course abstract: We examine from a classical dynamical systems pointof view stability, dynamics, and bifurcation of viscous shock waves and related solutions of nonlinear pde. Lecture 1 abstract: Stability of viscous shock waves. We discuss thebasic types of viscous shock waves, the Evans function conditionand its meaning, and outline a basic on...
Creator:
Zumbrun, Kevin (Indiana University)
Created:
2009-07-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Using a combinationof numerical Evans function computations and asymptotic ODE analysis,we carry out global stability analyses for interesting examples including ideal gas and parallel MHD shocks, across the entire rangeof physical parameters: in particular, in the large amplitude ormagnetic field limit.
Creator:
Zumbrun, Kevin (Indiana University)
Created:
2009-07-16
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We discuss finally stability and bifurcation of flow in a channel with periodic boundary conditions: cellular bifurcation, pattern formation,and an Evans function construction for genuinely multi-dimensional(i.e., nonplanar) solutions.
Creator:
Zumbrun, Kevin (Indiana University)
Created:
2009-07-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Determining the identities and frequencies of species present in a sample is a central problem in metagenomics, with scientific, environmental and clinical implications.A popular approach to the problem is sequencing the Ribosomal 16s RNA gene in the sample using universal primers, and using variation in the gene's sequence between different spe...
Creator:
Zuk, Or (Broad Institute)
Created:
2012-02-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The talk will begin with a definition of RNA secondary structure,including three different ways to display these structures. Two distinctapproaches will be presented for determining secondary structure fromsequence data. The comparative method requires a multiple sequencealignment of a collection of homologous RNA sequences. It uses phylogenyto ...
Creator:
Zuker, Michael (Rensselaer Polytechnic Institute)
Created:
2007-10-29
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The representation of color for perception differs from therepresentation for displays. We consider the map from (r,g,b)-space to (Intensity, hue, saturation)-space, and show how this non-linear space is useful for sensingdevices.
Creator:
Zucker, Steven W. (Yale University)
Created:
2005-12-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Conformational changes in proteins are intrinsic to almost every function, but sampling such changes remains one of the most difficult bio-computational problems. The challenge lies on two levels. First, algorithms which can efficiently focus computer time on the correct path ensemble are necessary. Second, even if perfect path-sampling algorith...
Creator:
Zuckerman, Daniel M. (University of Pittsburgh)
Created:
2009-05-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this lecture we shall present a survey of recent work on several topics related with numerical approximation of waves.Control Theory is by now and old subject, ubiquitous in many areas of Science and Technology. There is a quite well-established finite-dimensional theory and many progresses have been done also in the context of PDE (Partial D...
Creator:
Zuazua, Enrique (Basque Center for Applied Mathematics)
Created:
2009-03-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Distance weighted discrimination (DWD) is a margin-based classifier with an interesting geometric motivation. DWD was originally proposed as a superior alternative to the support vector machine (SVM), however DWD is yet to be popular compared with the SVM. The main reasons are twofold. First, the state-of-the-art algorithm for solving DWD is...
Creator:
Zou, Hui (University of Minnesota, Twin Cities)
Created:
2015-09-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Convolutional neural networks (CNN’s) are widely used in deep learning. The Lipschitz bound is important in the study of stability of CNN’s and computation of the Lipschitz bound is needed for generative networks. We give a general framework for CNN’s and prove that the Lipschitz bound of a CNN can be determined by solving a linear program...
Creator:
Zou, Dongmian (University of Minnesota, Twin Cities)
Created:
2017-09-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The need for more students to enter the workforce well equipped with mathematics and statistics skills has been acknowledged in many recent reports. Addressing this need will require action by all stakeholders involved or interested in students' preparation for present and future workforce demands.The INGenIOuS project (the complicated acronym s...
Creator:
Zorn, Paul (St. Olaf College)
Created:
2015-04-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Vesicles are locally-inextensible fluid membranes that cansustain bending. We consider the dynamics of flows ofvesicles suspended in Stokesian fluids. We use a boundaryintegral formulation for the fluid that results in a set ofnonlinear integro-differential equations for the vesicle dynamics.The motion of the vesicles is determined by balancingt...
Creator:
Zorin, Denis (New York University)
Created:
2010-08-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We introduce the TUBE connection for domains with finite perimeters; Then a metricand we characterise the necessary condition forthe geodesic tube. We obtain a complete metricspace of Shapes with non prescribed toplogy.That metric extends the Courant metricdeveloped in the book Shape and Geometry(Delfour and Z) , SIAM 2001.
Creator:
Zolesio, Jean-Paul (Institut National de Recherche en Informatique Automatique (INRIA))
Created:
2006-04-06
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A fundamental application for optimal control of physical flows on networks is the operation of large-scale natural gas transmission pipelines. A control system model has been developed for the distributed dynamics of compressible gas flow through large-scale pipeline networks with time-varying injections, withdrawals, and control actions of com...
Creator:
Zlotnik, Anatoly (Los Alamos National Laboratory)
Created:
2020-11-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
RNA 3D structure files contain essentially complete information about the interactions that form the 3D structure of an RNA molecule for a given organism. Homologous molecules in other organisms will have very similar 3D structures, but we expect to see sequence variability due to structurally neutral base substitutions, insertions, and deletion...
Creator:
Zirbel, Craig L. (Bowling Green State University)
Created:
2007-10-31
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.
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.
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.
In single particle reconstruction (SPR) from cryo-electron microscopy (EM), the 3D structure of a molecule needs to be determined from its 2D projection images taken at unknown viewing directions. Zvi Kam showed already in 1980 that the autocorrelation function of the 3D molecule over the rotation group SO(3) can be estimated from 2D projection ...
Creator:
Zhang, Teng (University of Central Florida)
Created:
2016-11-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk we will discuss low-complexity algorithms for solving large-scale convex optimization problems. Such algorithms include: gradient projection, proximal gradient, Iterative Shrinkage-Thresholding (ISTA), Nesterov's acceleration, and Alternating Direction Method of Multipliers (ADMM). The emphasis of the discussion will be placed on th...
Creator:
Zhang, Shuzhong (University of Minnesota, Twin Cities)
Created:
2016-08-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk we will introduce conic optimization models, in particular second-order cone programming (SOCP) and semidefinite programming (SDP). We will discuss various applications of these new optimization models. Conic duality theory will be introduced as well. Finally we will introduce the so-called central path following method for solving ...
Creator:
Zhang, Shuzhong (University of Minnesota, Twin Cities)
Created:
2016-08-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk we discuss computational issues related to low-rank tensor completion and decomposition problems. Computing the so-called CP rank of a given tensor is already notoriously difficult, let alone the completion or decomposition models where the CP-rank plays the role of a regularization function. In this talk, we introduce various matri...
Creator:
Zhang, Shuzhong (University of Minnesota, Twin Cities)
Created:
2018-05-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This talk presents two parts of results related to tensor computations. The first part is on a new matricization approach, resulting in lower and upper approximations for the CP-rank. In this part, theoretical properties of the new ranks (to be called the M-ranks) will be discussed, with applications to solve the low CP-rank tensor completion pr...
Creator:
Zhang, Shuzhong (University of Minnesota, Twin Cities)
Created:
2016-01-28
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Deep generative networks have achieved great success in high dimensional density approximation, especially for approximating the distributions of natural images and languages. In this talk, we propose to leverage their approximation capability to approximate posterior distributions in Bayesian Inverse Problems (BIPs). To train deep generative ne...
Creator:
Zhang, Pengchuan (Microsoft Research)
Created:
2018-10-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A dynamic treatment regime is a sequence of decision rules, each corresponding to a decision point, that determine that next treatment based on each individual’s own available characteristics and treatment history up to that point. We show that identifying the optimal dynamic treatment regime can be recast as a sequential optimization problem ...
Creator:
Zhang, Min (University of Michigan)
Created:
2018-11-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Conformational searching is a core task in inverse molecularkinematics. Algorithmic improvements affecting either the speed orquality of conformational searching will have a profound impact onapplications including ligand-receptor docking, ab initio predictionof protein structure, and protein folding. In this talk, we focus on aspecific geometry...
Creator:
Zhang, Ming (University of Texas)
Created:
2007-06-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Divergence functions, as a proximity measure on a smooth manifold and often surrogate to the (symmetric) metric function, play an important role in machine learning, statistical inference, optimization, etc. This talk will review the various geometric structures induced from a divergence function defined on a manifold. Most importantly, a Rieman...
Creator:
Zhang, Jun (University of Michigan)
Created:
2013-10-28
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The locomotion of most fish and birds is realized by flapping wings or fins transverse to the direction of travel. Here, we study experimentally the dynamics of a wing that is flapped up and down but is free to move in the horizontal direction. In this table-top prototype experiment, we show that flapping flight occurs abruptly at a critical fla...
Creator:
Zhang, Jun (New York University)
Created:
2006-06-28
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In recent years Peng prososed a new notion called G-expectation, a type of nonlinear expectation motivated from dynamic risk measures with volatility uncertainty. On the other hand, a martingale under the G-expectation can be viewed as the solution to a 'linear' Second Order Backward SDEs, the main subject of the short course which will be given...
Creator:
Zhang, Jianfeng (University of Southern California)
Created:
2010-06-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Master equation is a powerful tool for studying McKean-Vlasov dynamics where the distribution of the state process enters the coefficients directly, with particular applications including mean field games and stochastic control problems with partial information. In this talk we propose an intrinsic notion of viscosity solution for parabolic mast...
Creator:
Zhang, Jianfeng (University of Southern California)
Created:
2018-06-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk, we will discuss extending the optimal gradient methods for solving convex optimization to deal with more general nonlinear, possibly nonconvex and nonsmooth, optimization problems. These algorithms will treat the nonconvex and convex optimization problems in a unified way so that they will achieve the best known complexity for solv...
Creator:
Zhang, Hongchao (Louisiana State University)
Created:
2016-01-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We study deterministic fluid approximation models of parallel service systems, operating under first come first served policy (FCFS), when the service time distributions may depend on both the server and the customer type. We explore the relations between fluid models and the properties of stability, resource pooling, and matching rates. We find...
Creator:
Zhang, Hanqin (National University of Singapore)
Created:
2018-05-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We develop a mathematical theory to explain the mechanism of super-resolution in resonant media which consists of sub-wavelength resonators. Examples includes: Helmholtz resonators, plasmonic particles, and bubbles. For the media consists of small finite number of resonators, we show that super-resolution is due to sub-wavelength propagating mod...
Creator:
Zhang, Hai (Hong Kong University of Science and Technology)
Created:
2017-02-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This talk presents a Maple/Matlab toolbox for basic polynomial computations with exact or approximate data. The toolbox includes software for computing the approximate GCD, approximate factorization, dual basis and multiplicity identification, as well as numerical elimination in solving polynomial systems. We shall present the underlying theory ...
To achieve personalized medicine, an individualized treatment strategy assigning treatment based on an individual's characteristics that leads to the largest benefit can be considered. Recently, a machine learning approach, O-learning, has been proposed to estimate an optimal individualized treatment rule (ITR), but it is developed to make binar...
Creator:
Zeng, Donglin (University of North Carolina, Chapel Hill)
Created:
2018-11-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Invariant manifolds and foliations have become very useful tools in dynamical systems. For infinite dimensional systems generated by evolutionary PDEs, the mere existence of these structures is non-trivial compared to those of ODEs due to issues such as the non-existence of backward (in time) solutions of some PDEs or nonlinear terms causing der...
Creator:
Zeng, Chongchun (Georgia Institute of Technology)
Created:
2012-09-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We will discuss classical and new results on the existence or non-existence of inertial manifolds (IMs) for semilinear parabolic equation. In particular, we report on the existence of IMs for the 1D reaction-diffusion-advection systems with Dirichlet or Neumann boundary conditions and give the counterexamples for the case of periodic boundary co...
Creator:
Zelik, Sergey (University of Surrey)
Created:
2016-06-23
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will describe recent results (obtained jointly with A. Guionnet P. Wood) concerning perturbations of non-normal random matrices and their stabilization by additive noise. This builds on techniques introduced earlier inthe context of the 'single ring theorem', by Guionnet, Krishnapur, and the speaker.
Creator:
Zeitouni, Ofer (University of Minnesota, Twin Cities)
Created:
2011-09-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This series will highlight the main steps in the approach to universality based on dynamics and comparisons of Green functions. The emphasis will be on the basic steps, not on sharpest results.
Creator:
Zeitouni, Ofer (University of Minnesota, Twin Cities)
Created:
2012-06-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The long, rich history of topology in mathematics has provenextremely useful for the study of DNA. DNA, the geneticblueprint for life, undergoes tremendous flux as it ispackaged, replicated, segregated, transcribed, recombined andrepaired. Extremely long and skinny, DNA is prone toentanglement. Every time it is copied, the two resulting'daughter...
Creator:
Zechiedrich, Lynn (Baylor College of Medicine)
Created:
2010-04-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This talk will be about the non-backtracking matrix of a graph. I will review recent works on its spectral properties for random graphs and concentrate on its algorithmic applications. Notably I will talk about optimality of the corresponding spectral algorithm for clustering of sparse networks and for analysis of percolation on sparse networks....
Creator:
Zdeborova, Lenka (Centre National de la Recherche Scientifique (CNRS))
Created:
2015-05-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Energy networks are becoming increasingly decentralized and exhibit new forms of coupling. For instance, during the polar vortex of 2014, sustained low temperatures in the Midwest region of the U.S. resulted in unusually high gas demands from buildings in urban areas. This led to shortages of natural gas that propagated to California, Massachuse...
Creator:
Zavala, Victor M. (University of Wisconsin, Madison)
Created:
2016-05-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We review applications and algorithmic challenges of Gaussian Process (GP) modeling. GP is a powerful and flexible uncertainty quantification and data analysis technique that enables the construction of complex models without the need to specify algebraic relationships between variables. This is done by working directly in the space of the kerne...
Creator:
Zavala, Victor M. (Argonne National Laboratory)
Created:
2013-06-12
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Most supervised machine learning algorithms assume that each training data point is paired with an accurate training label (for classification) or value (for regression). However, obtaining accurate training label information is often time consuming and expensive, making it infeasible for large data sets, or may simply be impossible to provide g...
Creator:
Zare, Alina (University of Florida)
Created:
2018-10-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The first generation of theories and computer simulations of liquid crystals have made drastic and often contrasting assumptions on the model representation of constituent mesogens and on the type of intermolecular interactions (e.g purely attractive in Maier-Saupe type and purely hard repulsions in Onsager models). Computer simulations of liqui...
Creator:
Zannoni, Claudio (Universita Di Bologna)
Created:
2018-01-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Predicting realistic morphologies and molecular organizations from chemical structure is far from easy and indeed has only recently proved doable by atomistic molecular dynamics. The issue is further complicated in thin films, where the material is strongly affected by surface interactions, even if obtaining information on alignment and anchorin...
Creator:
Zannoni, Claudio (Universita Di Bologna)
Created:
2018-03-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The ocean contains a vigorous mesoscale eddy field with spatial scales of approximately 10 to 100km, evolving over time scales from weeks to months. These eddies are important in establishing the ocean's circulation and tracer properties. Grid spacing of roughly 10 km and smaller are necessary to properly simulate the eddy field, therefore ocean...
Creator:
Zanna, Laure (University of Oxford)
Created:
2013-03-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Consider the system of annihilating Brownian motions (ABM's) on the real lineunder the maximal entrance law. It turns out that the law of particles' positions at a given time is a Pfaffian point process equivalent to the law of real eigenvalues for the real Ginibre ensemble. Moreover, multi-time intensities for the system of ABM's are an extende...
Creator:
Zaboronski, Oleg V (University of Warwick)
Created:
2013-01-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Predictive modeling of physical processes in heterogeneous media requires innovations in mathematical and computational thinking. While multiscale approaches have been successful in modeling the effects of fine scales to macroscopic response, a significant grant challenge remains in understanding the effects of topological uncertainties in chara...
Creator:
Zabaras, Nicholas J. (Cornell University)
Created:
2013-12-16
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Tropical geometry is the geometry over the tropical semiring, which is the set of real numbers where the tropical addition is taking the minimum, and the tropical multiplication is the ordinary addition. As the ordinary linear and polynomial algebra give rise to convex geometry and algebraic geometry, tropical linear and polynomial algebra give ...
Creator:
Yu, Josephine (Massachusetts Institute of Technology)
Created:
2009-04-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Boosting is one of the two most successful machine learning methodswith SVM. It uses gradient descent to an empirical loss function.When the step sizes are small, it is computationally efficient wayto approximate Lasso. When a nuclear norm penalization is applied to L2 loss,we have the low-rank regularization arising from the Netflix competition...
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2013-06-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this lecture, we will discuss basic experimental design principles in data collection and issues regarding data quality. Specific data examples such as the entron data set will be used.
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2013-06-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This lecture will cover data summarization and visualization tools such as kernel estimation, loess, scatterplot and dimension reduction via principal component analysis (PCA). Specific data examples will be used.
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2013-06-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This lecture will generalize LS to weighted LS (WLS) and use WLS to connect with generalized linear models including logistic regression. Remote sensing data for cloud detection will be used.
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2013-06-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This lecture reviews least squares (LS) method for linear fitting and its statistical properites under various linear regression model assumptions. Methods will be illustrated with real data examples from instructor's research projects.
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2013-06-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
LS and Maximum Likelihood estimation (MLE) overfit when the dimension of the model is not small relative to the sample size. This happens almost always in high-dimensions. Regularziation often works by adding a penalty to the fitting criterion as in classical model selection methods such as AIC or BIC and L1-penalized LS called Lasso. We will al...
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2013-06-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This lectures will cover two related L2-penalized regularization methods: Ridge Regression and SVM, one from the 40's and one from the 90's. And SVM is one of the two most successful machine learning methods together with Boosting.
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2013-06-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk, I'd like to discuss the intertwining importance and connections of three principles of data science in the title in data-driven decisions. The ultimate importance of prediction lies in the fact that future holds the unique and possibly the only purpose of all human activities, in business, education, research, and government alike....
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2016-09-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In recent years network analysis have become the focus of muchresearch in many fields including biology, communication studies, economics, information science, organizational studies, and social psychology. Communities or clusters of highly connected actors form an essential feature in the structure of several empirical networks. Spectral cluste...
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2011-09-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This lecture will illustrate the power of the sparse coding principle and low-rank regularization in modeling neuron responses to natural images in the very challenging visual cortex area V4.
Creator:
Yu, Bin (University of California, Berkeley)
Created:
2013-06-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
JD.com sets the standard for online shopping through its commitment to quality, authenticity, and its high standard delivery services. JD's nationwide fulfillment network provides standard same- and next-day delivery covering a population of more than 1 billion. This talk will discuss the latest development of the the key methodologies and algor...
Creator:
Yuan, Rong (JD.COM)
Created:
2018-12-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Stochastic viral dynamics modeled by stochastic differential equations with Beddington-DeAngelis functional response and rates driven by white noise will be presented. The stochastic positive invariance and the existence of stationary distribution are proved. Through estimation of the pathwise and asymptotic moment upper bounds, the moment Lyapu...
Creator:
You, Yuncheng (University of South Florida)
Created:
2016-06-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Membrane fluctuation and dynamics under an electric field is investigated, and results show that the membrane instability and dynamics depend not only on the mismatch in conductivity and permittivity between the bulk fluids, but also on the membrane charging time. In addition, the (entropic) membrane tension is found to depend on the electric fi...
Creator:
Young, Yuan-Nan (New Jersey Institute of Technology)
Created:
2015-07-24
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
(1) interaction of molecular diffusion with simpleunidirectional shear flows (bounded and unbounded domains).(2) Limitation of the effective diffusion approximation tolong times and small domains, and low moments of the tracerdistribution.(3) Perhaps a geophysical example: shear diffusion in theinternal gravity wave field. The vertical tracer ca...
Creator:
Young, William Roy (Scripps Research Institute)
Created:
2010-04-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A $k$-term arithmetic progression is a sequence of the form $a, a+d, a+2d, ... , a+(k-1)d$, where $a$ and $d$ are nonegative integers. Van der Waerden's Theorem states that given a set of colors there exists an interval $[1,n]$ such that any coloring of the integers, using all the colors, will contain a $k$-term arithmetic progression with each ...
Creator:
Young, Michael (Iowa State University)
Created:
2015-03-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.