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Tjark Vredeveld (Maastricht University) Smoothed jumping through the neighborhood

Summary: Colloquium
Tjark Vredeveld (Maastricht University)
Smoothed jumping through the neighborhood
Thursday 21 April, Citadel H-327, 15:45-16:30
In this talk I consider the concept of smoothed per-
formance guarantees and apply it to the quality of
local optima. Smoothed analysis was introduced by
Spielman and Teng (JACM 2004) as a hybrid be-
tween worst case and average case analysis, to ex-
plain the good behavior of algorithms that have a
bad worst case performance. Up to now, smoothed
analysis has been mainly applied to the running time
of algorithms. We will use smoothed analysis to in-
vestigate the approximation ratio of an algorithm, that is, the ratio between
the value of an approximate solution and the optimal solution value. In the
last decade, there has been a strong interest in understanding the worst
case behavior of local optimal solutions. We extend this research by inves-
tigating whether or not this worst case behavior is robust. We will apply
the concept of smoothed performance guarantees to several local optima
for some scheduling problems. Joint work with: Cyriel Rutten (Maastricht


Source: Al Hanbali, Ahmad - Department of Applied Mathematics, Universiteit Twente


Collections: Engineering