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When lexicographically sorting strings, it is not always necessary to inspect all symbols. For example, the lexicographical rank of "europar" amongst the strings "eureka", "eurasia", and "excells" only depends on its so called relevant…

Data Structures and Algorithms · Computer Science 2020-06-04 Jonas Ellert , Johannes Fischer , Nodari Sitchinava

In our study we implemented and compared seven sequential and parallel sorting algorithms: bitonic sort, multistep bitonic sort, adaptive bitonic sort, merge sort, quicksort, radix sort and sample sort. Sequential algorithms were…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-13 Darko Bozidar , Tomaz Dobravec

In-memory-computing is emerging as an efficient hardware paradigm for deep neural network accelerators at the edge, enabling to break the memory wall and exploit massive computational parallelism. Two design models have surged: analog…

Hardware Architecture · Computer Science 2023-05-31 Pouya Houshmand , Jiacong Sun , Marian Verhelst

The selection problem, where one wishes to locate the $k^{th}$ smallest element in an unsorted array of size $n$, is one of the basic problems studied in computer science. The main focus of this work is designing algorithms for solving the…

Data Structures and Algorithms · Computer Science 2012-08-30 Tsvi Kopelowitz , Nimrod Talmon

It is well known that n integers in the range [1,n^c] can be sorted in O(n) time in the RAM model using radix sorting. More generally, integers in any range [1,U] can be sorted in O(n sqrt{loglog n}) time. However, these algorithms use O(n)…

Data Structures and Algorithms · Computer Science 2007-06-29 Gianni Franceschini , S. Muthukrishnan , Mihai Patrascu

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 this paper, we present several improvements in the parallelization of the in-place merge algorithm, which merges two contiguous sorted arrays into one with an O(T) space complexity (where T is the number of threads). The approach divides…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-27 Berenger Bramas , Quentin Bramas

Variable length coding for Non-Volatile Memory (NVM) technologies is a promising method to improve memory capacity and system performance through compressing memory blocks. However, compression techniques used to improve capacity or…

Emerging Technologies · Computer Science 2017-10-26 Seyed Mohammad Seyedzadeh , Alex K. Jones , Rami Melhem

We give a more space-efficient implementation of adaptive mergesort: Virtual-Memory Powersort. Using internal buffering techniques, we significantly reduce the memory consumption of the algorithm; specifically, for sorting $n$ objects the…

Data Structures and Algorithms · Computer Science 2026-05-27 Finn Moltmann , Tamio-Vesa Nakajima , Sebastian Wild

In this paper, we propose and investigate a novel memory architecture for neural networks called Hierarchical Attentive Memory (HAM). It is based on a binary tree with leaves corresponding to memory cells. This allows HAM to perform memory…

Machine Learning · Computer Science 2016-02-24 Marcin Andrychowicz , Karol Kurach

We extend the Faulty RAM model by Finocchi and Italiano (2008) by adding a safe memory of arbitrary size $S$, and we then derive tradeoffs between the performance of resilient algorithmic techniques and the size of the safe memory. Let…

Data Structures and Algorithms · Computer Science 2015-04-03 Lorenzo De Stefani , Francesco Silvestri

Optimization of searching the best possible action depending on various states like state of environment, system goal etc. has been a major area of study in computer systems. In any search algorithm, searching best possible solution from…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-10 Shubhendra Pal Singhal , M. Sridevi

Computing has a huge memory problem. The memory system, consisting of multiple technologies at different levels, is responsible for most of the energy consumption, performance bottlenecks, robustness problems, monetary cost, and hardware…

Hardware Architecture · Computer Science 2025-09-05 Onur Mutlu , Ataberk Olgun , Ismail Emir Yuksel

In this paper we are proposing a new sorting algorithm, List Sort algorithm, is based on the dynamic memory allocation. In this research study we have also shown the comparison of various efficient sorting techniques with List sort. Due the…

Data Structures and Algorithms · Computer Science 2013-10-30 Adarsh Kumar Verma , Prashant Kumar

The inversion of extremely high order matrices has been a challenging task because of the limited processing and memory capacity of conventional computers. In a scenario in which the data does not fit in memory, it is worth to consider…

Numerical Analysis · Mathematics 2018-05-08 Iria C. S. Cosme , Isaac F. Fernandes , João L. de Carvalho , Samuel Xavier-de-Souza

The article investigates the relationship between time complexity and energy consumption in sorting algorithms, focusing on commonly-used algorithms implemented in Java: Bubble Sort, Counting Sort, Merge Sort, and Quick Sort. The…

Software Engineering · Computer Science 2024-05-09 Kristina Carter , Su Mei Gwen Ho , Mathias Marquar Arhipenko Larsen , Martin Sundman , Maja H. Kirkeby

We study the binomial, trinomial, and Black-Scholes-Merton models of option pricing. We present fast parallel discrete-time finite-difference algorithms for American call option pricing under the binomial and trinomial models and American…

Computational Engineering, Finance, and Science · Computer Science 2023-10-18 Zafar Ahmad , Reilly Browne , Rezaul Chowdhury , Rathish Das , Yushen Huang , Yimin Zhu

Sorting is the task of ordering $n$ elements using pairwise comparisons. It is well known that $m=\Theta(n\log n)$ comparisons are both necessary and sufficient when the outcomes of the comparisons are observed with no noise. In this paper,…

Information Theory · Computer Science 2024-07-09 Ziao Wang , Nadim Ghaddar , Banghua Zhu , Lele Wang

We propose a systematic approach to reduce the memory consumption of deep neural network training. Specifically, we design an algorithm that costs O(sqrt(n)) memory to train a n layer network, with only the computational cost of an extra…

Machine Learning · Computer Science 2016-04-25 Tianqi Chen , Bing Xu , Chiyuan Zhang , Carlos Guestrin

In this work we study the problem of scheduling tasks with dependencies in multiprocessor architectures where processors have different speeds. We present the preemptive algorithm "Save-Energy" that given a schedule of tasks it post…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-06-09 Ioannis Chatzigiannakis , Georgios Giannoulis , Paul G. Spirakis
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