Applications of the Lindeberg Principle in Communications and Statistical Learning

作者：Korada Satish Babu^*; Montanari Andrea

来源：IEEE Transactions on Information Theory, 2011, 57(4): 2440-2450.

DOI：10.1109/TIT.2011.2112231

• Code division multiple access (CDMA)
• LASSO
• multiple-input multiple-output (MIMO)
• Lindeberg principle
• random matrices
• SK model
• sparse-dense equivalence
• universality

We use a generalization of the Lindeberg principle developed by S. 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.

• 出版日期2011-4