A panorama of positivity. II: Fixed dimension
MetadataShow full item record
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.
Recommended, similar items
The following license files are associated with this item:
Showing items related by title, author, creator and subject.
Learning from lockdown - Assessing the positive and negative experiences, and coping strategies of researchers during the COVID-19 pandemic Sarah, K; Oceane, S; Emily, F; Carole, F (Elsevier BV, 2021-03)
IF POSITIVE ASPECTS OF LINER SHIPPING IN THE ARCTIC DOES OUTWEIGH ITS NEGATIVE IMPACTS, SHOULD LINER SHIPPING BE ALLOWED IN THE REGION? Noor Affiq Bin Hasanuddin, Muhammad (2013)Purpose: The purpose of this research is to investigate on whether liner shipping should be allowed in the Arctic after analysing its positive and negative impacts. This is in light of the current excitement surrounding ...
A STUDY OF THE FACTORS POSITIVELY AND NEGATIVELY INFLUENCING CORNISH PRIMARY SCHOOLS TO ENGAGE IN SUSTAINABLE ENERGY PRACTICES Kite, Lorna (University of Plymouth, 2011)Within the UK government in recent years there has been an increasing focus on renewable energy (RE) and energy efficiency as methods to reduce carbon emissions. Schools represent a small but significant part of the public ...