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An increasing interest in
analyzing and modeling high-dimensional data, both static and dynamic, and
handling very large data sets in multiple scientific domains has led to an
increased flow of ideas between applied mathematics, statistics, and
computation. A synergy is emerging among fields such as statistical modeling of
high-dimensional data, parameter estimation, optimization, machine learning,
dynamical systems, numerical methods, and computational mathematics. Examples
can be found in the exciting recent progress in the genome sciences, where
statistically based computation has become an intrinsic part of research in
human genetics; in the growing interaction between spatial statistics and the
numerical analysis of atmospheric and ocean dynamics data, driven in large part
by extensive new data sets being acquired through satellite imaging; in the
extensive use of statistical modeling and probabilistic analysis for data
analysis and modeling in neuroscience. Another aspect of these developments is
the rapid convergence of research interests between Statistics and Computer
Science. The traditional computer sciences domain of Artificial Intelligence
has, during the past decade, increasingly adopted statistical methods, to the
point that, today, the two fields are entirely
integrated.
The
history of applied mathematics at the University of Chicago
is filled with great names who have had major impact
in analysis, PDE's, harmonic analysis, numerical
methods, and statistics. Moreover, in the past decade the University has
created the Computation Institute, which serves as a focal point for projects
involving high-end and massively parallel computing. And yet we have not seen
emerge a consistent program in computational and applied mathematics that is
able to meet the challenges presented by these new developments, both in terms
of research and in terms of graduate and undergraduate education. Given the
strong interdisciplinary ties developed by faculty in the Department of
Statistics with quite a number of scientific fields, and the ongoing emphasis
on integrating theory and methodology with real problems and data, it seemed a
natural home for developing such a program, which was formally initiated in
2008.
In
the past four years we have hired a number of faculty with background and interests in a variety of domains involving computational
and applied mathematics. Nina Hinrichs works on modeling protein dynamics and was hired jointly with Computer Science; Lek-Heng Lim is an applied mathematician studying numerical methods involving tensors and their
application to large and high-dimensional data sets; John Reinitz is a mathematical biologist hired jointly with Ecology and Evolution; John Lafferty and Risi Kondor both work in machine learning and the analysis of high-dimensional data and
were hired jointly with Computer Science; Nicolas Brunel is a computational neuroscientist hired jointly with Neurobiology; and Mihai Anitescu works in numerical methods and optimization and is a joint hire with Argonne National Laboratory.
These exciting new hires come in addition to many existing
faculty in the Departments of Statistics, Mathematics, Computer Science,
Physics, Astrophysics, Chemistry, Geophysical Science, who are involved in
various aspects of applied and computational mathematics. Our hope is that this
hiring initiative will create a core group that will work, jointly with the
numerous faculty across campus, to create a strong
integrated educational and research program in computational and applied
mathematics. As first steps in this direction, we have developed a year-long
graduate course sequence in computational mathematics, covering matrix
computation, optimization, and numerical methods for differential equations,
and we have developed an informal sequence in optimization jointly with faculty
in the Business School and at Toyota Technological
Institute. Furthermore, we are developing two new graduate sequences—one in
computational neuroscience and the other in machine learning. Finally, we have
also initiated a new seminar series, "Statistical and Scientific Computing,"
that has drawn a growing audience from across the physical and biological
sciences. |