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The Babel function (also known as cumulative coherence) measures the maximum total coherence between a fixed atom and a collection of other atoms in a dictionary. The Babel function was conceived of in the context of signals for which there exists a sparse representation consisting of atoms or columns of a redundant dictionary matrix, A.
The Babel function of a dictionary
where
When p=1, the babel function is the mutual coherence.
Li and Lin have used the Babel function to aid in creating effective dictionaries for Machine Learning applications.[3]
![]() | Original source: https://en.wikipedia.org/wiki/Babel function.
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