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What is Sparsity and Entropy: Axiomatic Insights about?

This document summarizes a research paper that proposes a mathematical framework to jointly characterize sparsity and entropy based on axioms and attributes. The paper introduces criteria like concentration, scaling, and replication as axioms for both sparsity and entropy functions. It derives core functions like the Rényi entropy and Hoyer sparsity measure from these axioms. The core functions are then successfully applied to problems like compressed sensing and minimum entropy estimation. The paper argues

Author

SameeraBharadwajaH

Language

EN