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The two most prominent solutions for the sorting problem are Quicksort and Mergesort. While Quicksort is very fast on average, Mergesort additionally gives worst-case guarantees, but needs extra space for a linear number of elements.…

Data Structures and Algorithms · Computer Science 2018-11-05 Stefan Edelkamp , Armin Weiß

We introduce the algorithm ExpoSort, a groundbreaking method that sorts an array of $n$ numbers in a spectacularly inefficient $\Theta(2^n)$ time. ExpoSort proudly claims the title of the first reluctant algorithm to decisively surpass the…

Data Structures and Algorithms · Computer Science 2024-09-05 Mikkel Abrahamsen

In this paper we propose a tensor-based nonlinear model for high-order data classification. The advantages of the proposed scheme are that (i) it significantly reduces the number of weight parameters, and hence of required training samples,…

The Dyson rank of an integer partition is the difference between its largest part and the number of parts it contains. Using Fine-Dyson symmetry, we give formulas for the number of partitions of n with rank larger than n/2, and we prove…

Number Theory · Mathematics 2023-03-20 Colin Alberts , Olivia Beckwith , Irfan Demetoglu , Robert Dicks , John H. Smith , Jasmine Wang

Persistent Memory (PM) is a new storage technology thatbrings high performance, byte addressability, and persistency for a lesser cost than DRAM. Due to cache volatility and store reordering, developers must use explicit instructions (e.g.:…

Emerging Technologies · Computer Science 2026-03-03 Sebastião Amaro , João Gonçalves , Miguel Matos

Rank and select are fundamental operations in succinct data structures, that is, data structures whose space consumption approaches the information-theoretic optimal. The performance of these primitives is central to the overall performance…

Data Structures and Algorithms · Computer Science 2017-06-06 Prashant Pandey , Michael A. Bender , Rob Johnson

Text classification has long been a staple within Natural Language Processing (NLP) with applications spanning across diverse areas such as sentiment analysis, recommender systems and spam detection. With such a powerful solution, it is…

Computation and Language · Computer Science 2021-12-06 Amir Atapour-Abarghouei , Stephen Bonner , Andrew Stephen McGough

The paper introduces RADULS, a new parallel sorter based on radix sort algorithm, intended to organize ultra-large data sets efficiently. For example 4G 16-byte records can be sorted with 16 threads in less than 15 seconds on Intel…

Data Structures and Algorithms · Computer Science 2016-12-09 Marek Kokot , Sebastian Deorowicz , Agnieszka Debudaj-Grabysz

In recent years a large number of problems have been considered in external memory models of computation, where the complexity measure is the number of blocks of data that are moved between slow external memory and fast internal memory…

Data Structures and Algorithms · Computer Science 2013-12-11 Lars Arge , Mikkel Thorup

We present the first in-place algorithm for sorting an array of size n that performs, in the worst case, at most O(n log n) element comparisons and O(n) element transports. This solves a long-standing open problem, stated explicitly, e.g.,…

Data Structures and Algorithms · Computer Science 2007-05-23 Gianni Franceschini , Viliam Geffert

Sorting is an essential operation which is widely used and is fundamental to some very basic day to day utilities like searches, databases, social networks and much more. Optimizing this basic operation in terms of complexity as well as…

Data Structures and Algorithms · Computer Science 2021-07-06 Peeyush Kumar , Ayushe Gangal , Sunita Kumari , Sunita Tiwari

Spike sorting algorithms are used to separate extracellular recordings of neuronal populations into single-unit spike activities. The development of customized hardware implementing spike sorting algorithms is burgeoning. However, there is…

Machine Learning · Computer Science 2025-01-30 Tim Zhang , Corey Lammie , Mostafa Rahimi Azghadi , Amirali Amirsoleimani , Majid Ahmadi , Roman Genov

Circuit routing has been a historically challenging problem in designing electronic systems such as very large-scale integration (VLSI) and printed circuit boards (PCBs). The main challenge is that connecting a large number of electronic…

Artificial Intelligence · Computer Science 2021-10-11 Shiyu Huang , Bin Wang , Dong Li , Jianye Hao , Ting Chen , Jun Zhu

We introduce a novel noisy sorting model motivated by the Just Noticeable Difference (JND) model from experimental psychology. The goal of our model is to capture the low quality of the data that are collected from crowdsourcing…

Data Structures and Algorithms · Computer Science 2023-10-24 Ellen Vitercik , Manolis Zampetakis , David Zhang

We present a parallel algorithm that computes the ask and bid prices of an American option when proportional transaction costs apply to the trading of the underlying asset. The algorithm computes the prices on recombining binomial trees,…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-10-12 Nan Zhang , Alet Roux , Tomasz Zastawniak

This paper introduces persiansort, new stable sorting algorithm inspired by Persian rug. Persiansort does not have the weaknesses of mergesort under scenarios involving nearly sorted and partially sorted data, also utilizing less auxiliary…

Data Structures and Algorithms · Computer Science 2026-03-02 Parviz Afereidoon

Sorting is one of the most basic algorithms, and developing highly parallel sorting programs is becoming increasingly important in high-performance computing because the number of CPU cores per node in modern supercomputers tends to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-08 Tomoyuki Tokuue , Tomoaki Ishiyama

In order to compare and benchmark the mathematical software, the performance profiles have been introduced [1]. However, it has been proved that the algorithm is not flawless. The main issue with the performance profile is that it may rank…

Optimization and Control · Mathematics 2020-01-31 Rasoul Hekmati , Hanieh Mirhajianmoghadam

We show that the left-greedy algorithm is a better algorithm than the right-greedy algorithm for sorting permutations using t stacks in series when t>1. We also supply a method for constructing some permutations that can be sorted by t…

Combinatorics · Mathematics 2007-05-23 Rebecca Smith

\textit{Weighted shortest processing time first} (WSPT) is one of the best known algorithms for total weighted completion time scheduling problems. For each job $J_j$, it first combines the two independent job parameters weight $w_j$ and…

Data Structures and Algorithms · Computer Science 2023-07-18 Samin Jamalabadi , Uwe Schwiegelshohn