Information-Theoretic Inequalities

Entropy power, EPI, and Brascamp–Lieb.


field tier

Information-Theoretic Inequalities. Entropy power, EPI, and Brascamp–Lieb.

Foundations and canonical references

The standard treatments of information-theoretic inequalities approach the subject from complementary angles. Cover, Elements of Information Theory (2006) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.

Open methodological questions for information-theoretic inequalities include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.

Prerequisites

Sources

  • textbook · primary · 2006
    Elements of Information Theory
    cover-2006, thomas-2006

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