Belton, A and Guillot, D and Khare, A and Putinar, M (2020) A panorama of positivity. Ii: Fixed dimension. [Book Chapter]
Full text not available from this repository.Abstract
This survey contains a selection of topics unified by the concept of positive semidefiniteness (of matrices or kernels), reflecting natural constraints imposed on discrete data (graphs or networks) or continuous objects (probability or mass distributions). We put emphasis on entrywise operations which preserve positivity, in a variety of guises. Techniques from harmonic analysis, function theory, operator theory, statistics, combinatorics, and group representations are invoked. Some partially forgotten classical roots in metric geometry and distance transforms are presented with comments and full bibliographical references. Modern applications to high-dimensional covariance estimation and regularization are included. © 2020 American Mathematical Society.
| Item Type: | Book Chapter |
|---|---|
| Publication: | Contemporary Mathematics |
| Publisher: | American Mathematical Society |
| Additional Information: | The copyright for this article belongs to American Mathematical Society |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 19 Apr 2021 07:34 |
| Last Modified: | 19 Apr 2021 07:34 |
| URI: | http://eprints.iisc.ac.in/id/eprint/68662 |
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