SIAMMAX
2010
13 years 7 months ago
2010
Abstract. We perform a smoothed analysis of the condition number of rectangular matrices. We prove that, asymptotically, the expected value of this condition number depends only of...
MP
2011
13 years 7 months ago
2011
We perform a smoothed analysis of Renegar’s condition number for linear programming by analyzing the distribution of the distance to ill-posedness of a linear program subject to...
APPROX
2004
Springer
14 years 6 months ago
2004
Springer
The central observation of this paper is that if ǫn random arcs are added to any n-node strongly connected digraph with bounded degree then the resulting graph has diameter O(ln ...
FOCS
2007
IEEE
14 years 7 months ago
2007
IEEE
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...
COCOON
2009
Springer
14 years 7 months ago
2009
Springer
We provide a smoothed analysis of Hoare’s find algorithm and we revisit the smoothed analysis of quicksort. Hoare’s find algorithm – often called quickselect – is an easy...
FOCS
2009
IEEE
14 years 7 months ago
2009
IEEE
Abstract— We prove that the number of Pareto-optimal solutions in any multiobjective binary optimization problem with a finite number of linear objective functions is polynomial...