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» Some Lower Bounds for the Complexity of Continuation Methods
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JC
2007
130views more  JC 2007»
13 years 7 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner
CSR
2008
Springer
13 years 9 months ago
Cracks in the Defenses: Scouting Out Approaches on Circuit Lower Bounds
Razborov and Rudich identified an imposing barrier that stands in the way of progress toward the goal of proving superpolynomial lower bounds on circuit size. Their work on "n...
Eric Allender
ECCC
2002
103views more  ECCC 2002»
13 years 7 months ago
Monotone complexity and the rank of matrices
We shall give simpler proofs of some lower bounds on monotone computations. We describe a simple condition on combinatorial structures, such that the rank of the matrix associated...
Pavel Pudlák
ANTS
2006
Springer
79views Algorithms» more  ANTS 2006»
13 years 11 months ago
Computing a Lower Bound for the Canonical Height on Elliptic Curves over Q
Let E be an elliptic curve over the rationals. A crucial step in determining a Mordell-Weil basis for E is to exhibit some positive lower bound > 0 for the canonical height ^h ...
John Cremona, Samir Siksek
GECCO
2005
Springer
108views Optimization» more  GECCO 2005»
14 years 26 days ago
Some theoretical results about the computation time of evolutionary algorithms
This paper focuses on the computation time of evolutionary algorithms. First, some exact expressions of the mean first hitting times of general evolutionary algorithms in finite...
Lixin X. Ding, Jinghu Yu