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arxiv: 0804.4774 · v1 · submitted 2008-04-30 · 💻 cs.IT · math.IT

A Projection Method for Derivation of Non-Shannon-Type Information Inequalities

classification 💻 cs.IT math.IT
keywords informationnon-shannon-typeinequalitiesmethodunconditionalworkapplicationderivation
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In 1998, Zhang and Yeung found the first unconditional non-Shannon-type information inequality. Recently, Dougherty, Freiling and Zeger gave six new unconditional non-Shannon-type information inequalities. This work generalizes their work and provides a method to systematically derive non-Shannon-type information inequalities. An application of this method reveals new 4-variable non-Shannon-type information inequalities.

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