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Electronic Colloquium on Computational Complexity

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Reports tagged with probabilistic computation:
TR01-037 | 21st February 2001
Rustam Mubarakzjanov

Bounded-Width Probabilistic OBDDs and Read-Once Branching Programs are Incomparable

Restricted branching programs are considered by the investigation
of relationships between complexity classes of Boolean functions.
Read-once ordered branching programs (or OBDDs) form the most restricted class
of this computation model.
Since the problem of proving exponential lower bounds on the complexity
for general probabilistic OBDDs is open so ... more >>>

TR02-058 | 25th September 2002
Philippe Moser

A generalization of Lutz's measure to probabilistic classes

We extend Lutz's measure to probabilistic classes, and obtain notions of measure on probabilistic complexity classes
such as BPP , BPE and BPEXP. Unlike former attempts,
all our measure notions satisfy all three Lutz's measure axioms, that is
every singleton {L} has measure zero ... more >>>

TR15-017 | 20th January 2015
Bruno Bauwens, Marius Zimand

Linear list-approximation for short programs (or the power of a few random bits)

A $c$-short program for a string $x$ is a description of $x$ of length at most $C(x) + c$, where $C(x)$ is the Kolmogorov complexity of $x$. We show that there exists a randomized algorithm that constructs a list of $n$ elements that contains a $O(\log n)$-short program for $x$. ... more >>>

TR18-207 | 5th December 2018
Siddharth Bhandari, Prahladh Harsha, Tulasimohan Molli, Srikanth Srinivasan

On the Probabilistic Degree of OR over the Reals

We study the probabilistic degree over reals of the OR function on $n$ variables. For an error parameter $\epsilon$ in (0,1/3), the $\epsilon$-error probabilistic degree of any Boolean function $f$ over reals is the smallest non-negative integer $d$ such that the following holds: there exists a distribution $D$ of polynomials ... more >>>

ISSN 1433-8092 | Imprint