Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Geometric Property of Relative Entropy and the Universal Threshold
  Phenomenon for Binary-Input Channels with Noisy State Information at the
  Encoder   Tight lower and upper bounds on the ratio of relative entropies of two
probability distributions with respect to a common third one are established,
where the three distributions are collinear in the standard $(n-1)$-simplex.
These bounds are leveraged to analyze the capacity of an arbitrary binary-input
channel with noisy causal state information (provided by a side channel) at the
encoder and perfect state information at the decoder, and in particular to
determine the exact universal threshold on the noise measure of the side
channel, above which the capacity is the same as that with no encoder side
information.

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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph