Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis for the Slow Convergence in Arimoto Algorithm   In this paper, we investigate the convergence speed of the Arimoto algorithm.
By analyzing the Taylor expansion of the defining function of the Arimoto
algorithm, we will clarify the conditions for the exponential or $1/N$ order
convergence and calculate the convergence speed. We show that the convergence
speed of the $1/N$ order is evaluated by the derivatives of the
Kullback-Leibler divergence with respect to the input probabilities. The
analysis for the convergence of the $1/N$ order is new in this paper. Based on
the analysis, we will compare the convergence speed of the Arimoto algorithm
with the theoretical values obtained in our theorems for several channel
matrices.

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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
3
The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph