Event(s) on September 2007
||Global Conformal Parametrization and its Applications to Human Brain Mapping Research|
||Mr. Ronald Lok Ming Lui, Department of Mathematics, UCLA, USA|
||11:30 - 12:30|
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Human brain cortical surface is a very complicated surface. Computational
problems arise when integrating and comparing brain data. In
order to analyze and compare brain data more effectively, it
is desirable to map the surface to some simple domain, such as
the sphere or rectangles, while retaining the geometric information
on the surface. Conformal mapping is one type of maps that effectively
fits this purpose. In this talk, I will describe three effective
algorithms for conformal parametrization of the brain surface.
It allows us to map the brain surfaces to the sphere, rectangle
or punctured disk. With these techniques, a lot of human brain
mapping problems can be simplified. In the second part of my
talk, I will describe how we can apply the conformal parametrization
to various medical applications. In particular, I will describe
how we can use the conformal map to automatic detection of brain
anatomical features, solving variational problems on surfaces,
landmark matching registration between brain surfaces, etc.
||Data Envelopment Analysis and its Applications |
||Prof. Cecilio Mar Molinero, Kent Business School, University of Kent, UK|
||11:30 - 12:30|
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Data Envelopment Analysis (DEA) is now well established as a tool
for permance assessment.
DEA relies on a series of multiple comparisons between units
that use the same inputs to produce the same outputs, and
determines which units make best use of the available resources.
DEA is not a statistical technique and it is
difficult to establish if an input or an output is necessary
in the formulation or it contributes little to the model.
In this seminar, I will present an approach to the analysis
of DEA specification based on the estimation of a
multiplicity of models, whose similarities and differences are
later explored by means of multivariate analysis techniques.
I will present examples of application of the technique to the
exploration of microcredit institutions (banking institutions
make small loans to the poor), and to the analysis of risks
and rewards in a portofolio
of insurance policies held by a major Spanish company.