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Electronic Colloquium on Computational Complexity

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TR01-070 | 24th October 2001
Robert Albin Legenstein

Total Wire Length as a Salient Circuit Complexity Measure for Sensory Processing

We introduce em total wire length as salient complexity measure
for analyzing the circuit complexity of sensory processing in
biological neural systems and neuromorphic engineering. The new
complexity measure is applied in this paper to two basic
computational problems that arise in translation- and
scale-invariant pattern recognition, and hence appear ... more >>>


TR01-069 | 24th October 2001
Robert Albin Legenstein

Optimizing the Layout of a Balanced Tree

Revisions: 1

It is shown that the total wire length of layouts of a
balanced binary tree on a 2-dimensional grid can be reduced by 33%
if one does not choose the obvious ``symmetric'' layout strategy.
Furthermore it is shown that the more efficient layout strategy that
is presented in this article ... more >>>


TR01-068 | 19th September 2001
Philippe Moser

Relative to P, APP and promise-BPP are the same

Revisions: 1

We show that for determinictic polynomial time computation, oracle access to
$\mathbf{APP}$, the class of real functions
approximable by probabilistic Turing machines, is the same as having oracle access to
promise-$\mathbf{BPP}$. First
we construct a mapping that maps every function in $\mathbf{APP}$ to a promise problem
more >>>



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