In pediatric allogeneic hematopoietic cell transplantation (alloHCT), most of the guildelines for treatments and timing of routine surveillance originally developed for the adult patients. It has been challenging how to use such guidelines for individualized treatment for pediatric patients. I will use three examples to illustrate how to use sim...
Creator:
Jin, Zhezhen (Columbia University)
Created:
2018-11-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Optimal transportation has enjoyed a mathematical renaissanceover the last twenty-five years, weaving together threads from analysis,geometry, partial differential equations and dynamical systems.In the first lecture we introduce these mathematical developments,focusing particularly on duality theory, regularity questions,and connections to diff...
Creator:
McCann, Robert (University of Toronto)
Created:
2014-06-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Optimal Switching models are concerned with sequentialdecision making where the controller has a finite number of policyregimes. Such models arise naturally in pricing of energy assets,including tolling agreements for electricity production, natural gasstorage facilities, carbon emission permits, etc. I will discuss thegeneral mathematical struc...
Creator:
Ludkovski, Michael (University of California, Santa Barbara)
Created:
2010-06-16
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We investigate the problem of optimizing the shape and location of actuators or sensors for evolution systems driven by a partial differential equation, like for instance a wave equation, a Schrödinger equation, or a parabolic system, on an arbitrary domain Omega, in arbitrary dimension, with boundary conditions if there is a boundary, which ca...
Creator:
Privat, Yannick (Universite de Paris VI (Pierre et Marie Curie))
Created:
2017-09-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We consider the problem of the optimal selection of a subset of available sensors or actuators in large-scale dynamical systems. By replacing a combinatorial penalty on the number of sensors or actuators with a convex sparsity-promoting term, we cast this problem as a semidefinite program (SDP). The solution of the resulting convex optimization ...
Creator:
Jovanovic, Mihailo (University of Southern California)
Created:
2017-09-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
If one seeks a two-phase conducting structure that is optimal for guiding a maximum amount of current in a desired direction, then the answer seems intuitively obvious. Just put the high conducting phase as layers or wires in the poor conducting phase. This was proved rigorously by Raitum (1978,1993). The analogous question for elasticity is eas...
Creator:
Milton, Graeme (The University of Utah)
Created:
2018-03-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In an influential article, Marfurt suggested that the best scheme for computational wave propagation would involve an averaging of the consistent and lumped finite element approximations. Many authors have considered how this might be accomplished for first order approximation, but the case of higher orders remained unsolved. We describe recent ...
Creator:
Ainsworth, Mark (University of Strathclyde)
Created:
2010-12-02
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Since in Bayesian inversion data are often informative only on a low-dimensional subspace of the parameter space,significant computational savings can be achieved using such subspace to characterize and approximate the posterior distribution of the parameters. We study approximations of the posterior covariance matrix defined as low-rank updates...
Creator:
Tenorio, Luis (Colorado School of Mines)
Created:
2017-09-08
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This talk deals with optimal harvesting strategies for the predator in a predator-prey system. The objective function is of long-run average per unit time type in the path-wise sense.The ecological system is subject to environmental noise modeled as stochastic differential equations driven by a Brownian motion. The main result is to prove the ex...
Creator:
Hai, Dang (Wayne State University)
Created:
2018-05-10
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.
This paper studies the optimal extraction and taxation of nonrenewable natural resources. It is well known that prices of strategic resources such as oil, natural gas, uranium, copper,..., etc, fluctuate randomly following global and seasonal macroeconomic parameters, those prices are modeled using Markov switching L\'evy processes. We formulate...
Creator:
Pemy, Moustapha (Towson State University)
Created:
2018-06-12
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Optimal experimental design consists of choosing measurements to maximize the information or, equivalently, minimize noise. For linear regression, a popular criterion is D-optimality, which seeks to maximize the determinant of the information matrix. Maximization is with respect to the weights of a discrete measure whose atoms (measurement basis...
Creator:
Henrion, Didier (Centre National de la Recherche Scientifique (CNRS))
Created:
2016-01-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk we present some recent new findings regarding optimal execution problems in an order-driven market where the limit order book (LOB) follows the so-called "equilibrium" model. More precisely, we argue that the "equilibrium utility function", which determines both the "shape" and the "frontier" of the LOB endogenously, is in fact the ...
Creator:
Ma, Jin (University of Southern California)
Created:
2018-06-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We consider the estimation of carbon flux at the ocean-atmosphere interface from the perspective of variational data assimilation. The flux is treated as a time-dependent Neumann boundary condition for the carbon mixing ratio, which evolves according to a linear diffusive transport equation. The variational problem has a natural, infinite-dimens...
Creator:
Cox, Graham (University of North Carolina, Chapel Hill)
Created:
2013-11-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Dimension reduction techniques are at the core of the statistical analysis of high-dimensional observations. Whether the data are vector- or function-valued, principal component techniques, in this context, play a central role. The success of principal components in the dimension reduction problem is explained by the fact that, for any K≤p, th...
Creator:
Hallin, Marc (Universite Libre de Bruxelles)
Created:
2018-04-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We tested optimization-based approaches to generate decision support rules used to improve personalized warfarin treatment based on clinical and genetic characteristics. Our approach simulated warfarin treatment outcomes using five existing treatment plans for clinical avatars (virtual patients). We used individual clinical avatar Time-in-Therap...
Creator:
, Chih-Lin (Jake) Chi
Created:
2017-09-16
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Work with Ross Hatton.Keywords: locomotion, snake robots, gait designAbstract: Animals often use gaits ' cyclic changes in shape producing a net displacement ' to move through their environments. In robotics, we are interested in planning motions for artificial systems that can match or exceed the locomotive capabilities of animals. A fundamenta...
Created:
2010-06-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.