Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Information Measures for Deterministic Input-Output Systems   In this work the information loss in deterministic, memoryless systems is
investigated by evaluating the conditional entropy of the input random variable
given the output random variable. It is shown that for a large class of systems
the information loss is finite, even if the input is continuously distributed.
Based on this finiteness, the problem of perfectly reconstructing the input is
addressed and Fano-type bounds between the information loss and the
reconstruction error probability are derived.
  For systems with infinite information loss a relative measure is defined and
shown to be tightly related to R\'{e}nyi information dimension. Employing
another Fano-type argument, the reconstruction error probability is bounded by
the relative information loss from below.
  In view of developing a system theory from an information-theoretic
point-of-view, the theoretical results are illustrated by a few example
systems, among them a multi-channel autocorrelation receiver.

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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
3
The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph