Department of Mathematics

Prof. Riko Jacob, IT University Copenhagen: "Fragile Complexity of Comparison-Based Algorithms" (joint work with Peyamn Afshani, Rolf Fagerberg, David Hammer, Irina Kostitsyna, Ulrich Meyer, Manuel Penschuck, Nodari Sitchinava)

May 03, 2019 from 04:15 PM to 05:15 PM

LMS 4 - Raum 424 - Kleiner Hörsaal

Abstract:

We initiate a study of algorithms with a focus on the computational complexity of individual elements, and introduce the fragile complexity of comparison-based algorithms as the maximal number of comparisons any individual element takes part in. We give a number of upper and lower bounds on the fragile complexity for fundamental problems, including Minimum,  Selection, Sorting and Heap Construction.
The results include both deterministic and randomized upper and lower bounds, and demonstrate a separation between the two settings for a number of problems. The depth of a comparator network is a straight-forward upper bound on the worst case fragile complexity of the corresponding fragile algorithm. We prove that fragile complexity is a different and strictly easier property than the depth of comparator networks, in the sense that for some problems a fragile complexity equal to the best network depth can be achieved with less total work and that with randomization, even a lower fragile complexity is possible.

 

 

Add to your iCal calendar

zurück