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A Projection Method for Derivation of Non-Shannon-Type Information Inequalities (0804.4774v1)
Published 30 Apr 2008 in cs.IT and math.IT
Abstract: 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.