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Wednesday
Thursday
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This workshop is devoted to the study of tensor decompositions. Though
higher-order tensor (also known as multidimensional, multi-way, or n-way
array) decompositions have been around for many years, the door is now
opening on greater mathematical understanding and new applications. This
topic has been the domain of researchers in psychometrics and
chemometrics since the seventies, resulting in, e.g., new methods for
factor analysis. More recently, tensors have found their way to signal
processing via the use of high-order statistics, joint matrix techniques
and applications in telecommunications. Other applications include
complexity theory, (blind) system identification, biomedical
engineering, numerical analysis, and data mining, among others.
The workshop will bring together researchers investigating tensor
decompositions and specialists in scientific computing, linear algebra,
algebraic geometry, and applications. The workshop will feature a series
of invited talks by leading experts, contributed presentations on
specific problems, and group discussions. Tutorials will be provided for
researchers who are new in the field. The goal of the workshop is
further to deepen the theoretical understanding of multilinear algebra,
develop reliable numerical algorithms and tackle new applications.
Specific issues to be addressed include:
* Large-scale problems
* Topological properties of tensor spaces
* Exact or approximate tensor decompositions
* Mathematical properties of tensor decompositions
* Computing using tensor decompositions
* Harmonic analysis
* Independent component analysis
* Applications in wireless communications
* Diagnostics in data analysis
Chairmen:
Lieven De Lathauwer, ETIS, UMR 8051, France
Pierre Comon, I3S, UMR 6070, France