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The linear pivot selection algorithm, known as median-of-medians, makes the worst case complexity of quicksort be $mathrm{O}(nln n)$. Nevertheless, it has often been said that this algorithm is too expensive to use in quicksort. In this article, we show that we can make the quicksort with this kind of pivot selection approach be efficient.
This work shows that the following problems are equivalent, both in theory and in practice: - median filtering: given an $n$-element vector, compute the sliding window median with window size $k$, - piecewise sorting: given an $n$-element vector,
Quicksort algorithm with Hoares partition scheme is traditionally implemented with nested loops. In this article, we present loop programming and refactoring techniques that lead to simplified implementation for Hoares quicksort algorithm consisting
This is an opinion paper. We hope to deliver a key message that current visual recognition systems are far from complete, i.e., recognizing everything that human can recognize, yet it is very unlikely that the gap can be bridged by continuously incre
We study approximation algorithms for variants of the emph{median string} problem, which asks for a string that minimizes the sum of edit distances from a given set of $m$ strings of length $n$. Only the straightforward $2$-approximation is known for
In this paper we introduce and study the online consistent $k$-clustering with outliers problem, generalizing the non-outlier version of the problem studied in [Lattanzi-Vassilvitskii, ICML17]. We show that a simple local-search based online algori