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In this paper we generalize the idea of QuickHeapsort leading to the notion of QuickXsort. Given some external sorting algorithm X, QuickXsort yields an internal sorting algorithm if X satisfies certain natural conditions. With…

Data Structures and Algorithms · Computer Science 2013-07-12 Stefan Edelkamp , Armin Weiß

This paper evaluates algorithms for classification and outlier detection accuracies in temporal data. We focus on algorithms that train and classify rapidly and can be used for systems that need to incorporate new data regularly. Hence, we…

Machine Learning · Statistics 2018-05-03 Victoria J. Hodge , Jim Austin

Sorting is a foundational primitive in modern data processing, influencing the execution speed of high-performance data pipelines. However, the algorithmic landscape is currently bifurcated by a pervasive "Stability Tax": practitioners must…

Data Structures and Algorithms · Computer Science 2026-05-15 Hriday Jain , Ketan Sabale , Aditya Shastri , Hiren Kumar Thakkar , Ashutosh Londhe

Sequence models such as transformers require inputs to be represented as one-dimensional sequences. In vision, this typically involves flattening images using a fixed row-major (raster-scan) order. While full self-attention is…

Machine Learning · Computer Science 2025-10-24 Declan Kutscher , David M. Chan , Yutong Bai , Trevor Darrell , Ritwik Gupta

In high performance computing, researchers try to optimize the CPU Scheduling algorithms, for faster and efficient working of computers. But a process needs both CPU bound and I/O bound for completion of its execution. With modernization of…

Operating Systems · Computer Science 2019-08-06 Amar Ranjan Dash , Sandipta Kumar Sahu , B Kewal

We present WiscSort, a new approach to high-performance concurrent sorting for existing and future byte-addressable storage (BAS) devices. WiscSort carefully reduces writes, exploits random reads by splitting keys and values during sorting,…

Now a days, data mining and knowledge discovery methods are applied to a variety of enterprise and engineering disciplines to uncover interesting patterns from databases. The study of Sequential patterns is an important data mining problem…

Databases · Computer Science 2009-06-24 Jigyasa Bisaria , Namita Shrivastava , K. R. Pardasani

Sorting is a fundamental operation in computer science and is a bottleneck in many important fields. Sorting is critical to database applications, online search and indexing,biomedical computing, and many other applications. The explosive…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-11 Dmitri I. Arkhipov , Di Wu , Keqin Li , Amelia C. Regan

In the age of big data, sorting is an indispensable operation for DBMSes and similar systems. Having data sorted can help produce query plans with significantly lower run times. It also can provide other benefits like having non-blocking…

Databases · Computer Science 2022-07-27 Michael Polyntsov , Valentin Grigorev , Kirill Smirnov , George Chernishev

We engineer algorithms for sorting huge data sets on massively parallel machines. The algorithms are based on the multiway merging paradigm. We first outline an algorithm whose I/O requirement is close to a lower bound. Thus, in contrast to…

Data Structures and Algorithms · Computer Science 2009-10-15 Mirko Rahn , Peter Sanders , Johannes Singler

Lexicographical sorting is a fundamental problem with applications to contingency tables, databases, Bayesian networks, and more. A standard method to lexicographically sort general data is to iteratively use a stable sort -- a sort which…

Data Structures and Algorithms · Computer Science 2013-10-08 David Haws

Sorting has been one of the most challenging studied problems in different scientific researches. Although many techniques and algorithms have been proposed on the theory of having efficient parallel sorting implementation, however…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-17 Zahra Khatami , Sungpack Hong , Jinsoo Lee , Siegfried Depner , Hassan Chafi , J. Ramanujam , Hartmut Kaiser

Sorting algorithms have attracted a great deal of attention and study, as they have numerous applications to Mathematics, Computer Science and related fields. In this thesis, we first deal with the mathematical analysis of the Quicksort…

Data Structures and Algorithms · Computer Science 2015-10-05 Vasileios Iliopoulos

In this article, we give a precise mathematical meaning to `linear? time' that matches experimental behaviour of the algorithm. The sorting algorithm is not our own, it is a variant of radix sort with counting sort as a subroutine. The true…

Computational Complexity · Computer Science 2019-01-01 Laurent Lyaudet

This paper describes a generic algorithm for concurrent resizing and on-demand per-bucket rehashing for an extensible hash table. In contrast to known lock-based hash table algorithms, the proposed algorithm separates the resizing and…

Data Structures and Algorithms · Computer Science 2015-09-09 Anton Malakhov

Stochastic orders are very useful tool to compare the lifetimes of two coherent systems. We show that, under certain conditions, a coherent system of used components performs better (worse) than a used coherent system with respect to…

Applications · Statistics 2016-01-20 Nil Kamal Hazra , Asok K. Nanda

In our previous work there was some indication that Partition Sort could be having a more robust average case O(nlogn) complexity than the popular Quick Sort. In our first study in this paper, we reconfirm this through computer experiments…

Data Structures and Algorithms · Computer Science 2012-03-28 Niraj Kumar Singh , Mita Pal , Soubhik Chakraborty

Multi-Pivot Quicksort refers to variants of classical quicksort where in the partitioning step $k$ pivots are used to split the input into $k + 1$ segments. For many years, multi-pivot quicksort was regarded as impractical, but in 2009 a…

Data Structures and Algorithms · Computer Science 2016-06-01 Martin Aumüller , Martin Dietzfelbinger , Pascal Klaue

Rank and select data structures seek to preprocess a bit vector to quickly answer two kinds of queries: rank(i) gives the number of 1 bits in slots 0 through i, and select(j) gives the first slot s with rank(s) = j. A succinct data…

Data Structures and Algorithms · Computer Science 2024-05-09 Matthew D. Laws , Jocelyn Bliven , Kit Conklin , Elyes Laalai , Samuel McCauley , Zach S. Sturdevant

Shellsort is a sorting method that is attractive due to its simplicity, yet it takes effort to analyze its efficiency. The heart of the algorithm is the gap sequence chosen a priori and used during sorting. The selection of this gap…

Data Structures and Algorithms · Computer Science 2023-01-03 Oscar Skean , Richard Ehrenborg , Jerzy W. Jaromczyk
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