![]() | This article may be too technical for most readers to understand.(May 2021) |
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 with normalized columns is a real-valued function that is defined as
where are the columns (atoms) of the dictionary . [1] [2]
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]
![]() | This article may be too technical for most readers to understand.(May 2021) |
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 with normalized columns is a real-valued function that is defined as
where are the columns (atoms) of the dictionary . [1] [2]
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]