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» On Superlinear Lower Bounds in Complexity Theory
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CORR
2010
Springer
179views Education» more  CORR 2010»
13 years 5 months ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
COCO
2009
Springer
106views Algorithms» more  COCO 2009»
14 years 2 months ago
Increasing the Gap between Descriptional Complexity and Algorithmic Probability
The coding theorem is a fundamental result of algorithmic information theory. A well known theorem of G´acs shows that the analog of the coding theorem fails for continuous sample...
Adam R. Day
LATA
2009
Springer
14 years 2 months ago
Automata on Gauss Words
In this paper we investigate the computational complexity of knot theoretic problems and show upper and lower bounds for planarity problem of signed and unsigned knot diagrams repr...
Alexei Lisitsa, Igor Potapov, Rafiq Saleh
FOCS
2007
IEEE
14 years 2 months ago
On the Hardness and Smoothed Complexity of Quasi-Concave Minimization
In this paper, we resolve the smoothed and approximative complexity of low-rank quasi-concave minimization, providing both upper and lower bounds. As an upper bound, we provide th...
Jonathan A. Kelner, Evdokia Nikolova
COMPGEOM
2006
ACM
14 years 1 months ago
How slow is the k-means method?
The k-means method is an old but popular clustering algorithm known for its observed speed and its simplicity. Until recently, however, no meaningful theoretical bounds were known...
David Arthur, Sergei Vassilvitskii