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ICASSP
2009
IEEE

Geometrical interpretation and improvements of the Blahut-Arimoto's algorithm

10 years 1 months ago
Geometrical interpretation and improvements of the Blahut-Arimoto's algorithm
The paper first recalls the Blahut Arimoto algorithm for computing the capacity of arbitrary discrete memoryless channels, as an example of an iterative algorithm working with probability density estimates. Then, a geometrical interpretation of this algorithm based on projections onto linear and exponential families of probabilities is provided. Finally, this understanding allows also to propose to write the Blahut-Arimoto algorithm, as a true proximal point algorithm. it is shown that the corresponding version has an improved convergence rate, compared to the initial algorithm, as well as in comparison with other improved versions.
Ziad Naja, Florence Alberge, Pierre Duhamel
Added 17 Aug 2010
Updated 17 Aug 2010
Type Conference
Year 2009
Where ICASSP
Authors Ziad Naja, Florence Alberge, Pierre Duhamel
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