Applications of Lindeberg Principle in Communications and Statistical Learning

Details Applications of Lindeberg Principle in Communications and Statistical Learning Applications of Lindeberg Principle in Communications and Statistical Learning

2010-04-05

arxiv.org/abs/1004.0557v2

Computer Science

Information Theory

18 pages

Scientific paper

We use a generalization of the Lindeberg principle developed by Sourav Chatterjee to prove universality properties for various problems in communications, statistical learning and random matrix theory. We also show that these systems can be viewed as the limiting case of a properly defined sparse system. The latter result is useful when the sparse systems are easier to analyze than their dense counterparts. The list of problems we consider is by no means exhaustive. We believe that the ideas can be used in many other problems relevant for information theory.

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