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We study parallel comparison-based algorithms for finding all equivalence classes of a set of $n$ elements, where sorting according to some total order is not possible. Such scenarios arise, for example, in applications, such as in…

Data Structures and Algorithms · Computer Science 2016-05-13 William E. Devanny , Michael T. Goodrich , Kristopher Jetviroj

We propose a parallel algorithm for local, on the fly, model checking of a fragment of CTL that is well-suited for modern, multi-core architectures. This model-checking algorithm takes bene t from a parallel state space construction…

Logic in Computer Science · Computer Science 2013-02-01 Rodrigo Tacla Saad , Silvano Dal Zilio , Bernard Berthomieu

Shuffling is the process of rearranging a sequence of elements into a random order such that any permutation occurs with equal probability. It is an important building block in a plethora of techniques used in virtually all scientific…

Data Structures and Algorithms · Computer Science 2023-02-08 Manuel Penschuck

Regular expression matching is essential for many applications, such as finding patterns in text, exploring substrings in large DNA sequences, or lexical analysis. However, sequential regular expression matching may be time-prohibitive for…

Formal Languages and Automata Theory · Computer Science 2015-06-30 Suejb Memeti , Sabri Pllana

Recent advances in computer architecture and networking opened the opportunity for parallelizing the clustering algorithms. This divide-and-conquer strategy often results in better results to centralized clustering with a much-improved time…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-15 Ahmed Ibrahim , Rokaya Hassanien

We provide a mathematically proven parallelization scheme for particle methods on distributed-memory computer systems. Particle methods are a versatile and widely used class of algorithms for computer simulations and numerical predictions…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-05 Johannes Pahlke , Ivo F. Sbalzarini

As the artificial intelligence community advances into the era of large models with billions of parameters, distributed training and inference have become essential. While various parallelism strategies-data, model, sequence, and…

Machine Learning · Computer Science 2025-03-13 Ruifeng She , Bowen Pang , Kai Li , Zehua Liu , Tao Zhong

The paper deals with the developing of the methodological backgrounds for the modeling and simulation of complex dynamical objects. Such backgrounds allow us to perform coordinate transformation and formulate the algorithm of its usage for…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-07 Roman Voliansky , Andri Pranolo

Neural algorithmic reasoners are parallel processors. Teaching them sequential algorithms contradicts this nature, rendering a significant share of their computations redundant. Parallel algorithms however may exploit their full…

Machine Learning · Computer Science 2024-01-04 Valerie Engelmayer , Dobrik Georgiev , Petar Veličković

Heterogeneous many-cores are now an integral part of modern computing systems ranging from embedding systems to supercomputers. While heterogeneous many-core design offers the potential for energy-efficient high-performance, such potential…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-11 Jianbin Fang , Chun Huang , Tao Tang , Zheng Wang

This paper shows an application of the theory of sorting networks to facilitate the synthesis of optimized general purpose sorting libraries. Standard sorting libraries are often based on combinations of the classic Quicksort algorithm with…

Data Structures and Algorithms · Computer Science 2017-08-09 Michael Codish , Luís Cruz-Filipe , Markus Nebel , Peter Schneider-Kamp

We present sorting algorithms that represent the fastest known techniques for a wide range of input sizes, input distributions, data types, and machines. A part of the speed advantage is due to the feature to work in-place. Previously, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-05 Michael Axtmann , Sascha Witt , Daniel Ferizovic , Peter Sanders

The research in parallel machine scheduling in combinatorial optimization suggests that the desirable parallel efficiency could be achieved when the jobs are sorted in the non-increasing order of processing times. In this paper, we find…

Numerical Analysis · Mathematics 2012-02-15 Lei Wang , Heng Liang , Fengshan Bai , Yan Huo

In this paper, we consider an approach to the parallelizing of the algorithms realizing the modified probability changigng method with adaptation and partial rollback procedure for constrained pseudo-Boolean optimization problems. Existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-03 Lev Kazakovtsev

Adaptive indexing is a concept that considers index creation in databases as a by-product of query processing; as opposed to traditional full index creation where the indexing effort is performed up front before answering any queries.…

Databases · Computer Science 2014-04-09 Victor Alvarez , Felix Martin Schuhknecht , Jens Dittrich , Stefan Richter

Smart Sort algorithm is a "smart" fusion of heap construction procedures (of Heap sort algorithm) into the conventional "Partition" function (of Quick sort algorithm) resulting in a robust version of Quick sort algorithm. We have also…

Data Structures and Algorithms · Computer Science 2012-04-24 Niraj Kumar Singh , Soubhik Chakraborty

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

Data processing systems offer an ever increasing degree of parallelism on the levels of cores, CPUs, and processing nodes. Query optimization must exploit high degrees of parallelism in order not to gradually become the bottleneck of query…

Databases · Computer Science 2015-11-06 Immanuel Trummer , Christoph Koch

In this paper, we evaluate the performance of various parallel optimization methods for Kernel Support Vector Machines on multicore CPUs and GPUs. In particular, we provide the first comparison of algorithms with explicit and implicit…

Machine Learning · Computer Science 2014-04-04 Stephen Tyree , Jacob R. Gardner , Kilian Q. Weinberger , Kunal Agrawal , John Tran

We compare different methods for sampling from discrete probability distributions and introduce a new algorithm which is especially efficient on massively parallel processors, such as GPUs. The scheme preserves the distribution properties…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-02 Nikolaus Binder , Alexander Keller
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