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Sorted lists of integers are commonly used in inverted indexes and database systems. They are often compressed in memory. We can use the SIMD instructions available in common processors to boost the speed of integer compression schemes. Our…

Information Retrieval · Computer Science 2020-04-22 Daniel Lemire , Leonid Boytsov , Nathan Kurz

Data structures for efficient sampling from a set of weighted items are an important building block of many applications. However, few parallel solutions are known. We close many of these gaps both for shared-memory and distributed-memory…

Data Structures and Algorithms · Computer Science 2021-07-20 Lorenz Hübschle-Schneider , Peter Sanders

Among the many possible approaches for the parallelization of self-organizing networks, and in particular of growing self-organizing networks, perhaps the most common one is producing an optimized, parallel implementation of the standard…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-31 Giacomo Parigi , Angelo Stramieri , Danilo Pau , Marco Piastra

This paper describes in detail the bitonic sort algorithm,and implements the bitonic sort algorithm based on cuda architecture.At the same time,we conduct two effective optimization of implementation details according to the characteristics…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-31 Qi Mu , Liqing Cui , Yufei Song

Recently, two new parallel algorithms for on-the-fly model checking of LTL properties were presented at the same conference: Automated Technology for Verification and Analysis, 2011. Both approaches extend Swarmed NDFS, which runs several…

Logic in Computer Science · Computer Science 2011-11-03 Alfons Laarman , Jaco van de Pol

A new class of parallel algorithms is introduced that can achieve a complexity of O(n^3/2) with respect to the interprocessor communication, in the exact computation of systems with pairwise mutual interactions of all elements. Hitherto,…

High Energy Physics - Lattice · Physics 2008-02-03 Th. Lippert , A. Seyfried , A. Bode , K. Schilling

The increasing need for causal analysis in large-scale industrial datasets necessitates the development of efficient and scalable causal algorithms for real-world applications. This paper addresses the challenge of scaling causal algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-23 Vishal Verma , Vinod Reddy , Jaiprakash Ravi

Solving inverse problems and achieving statistical rigour in landscape evolution models requires running many model realizations. Parallel computation is necessary to achieve this in a reasonable time. However, no previous algorithm is…

Computational Engineering, Finance, and Science · Computer Science 2019-01-23 Richard Barnes

ILU(k) is a commonly used preconditioner for iterative linear solvers for sparse, non-symmetric systems. It is often preferred for the sake of its stability. We present TPILU(k), the first efficiently parallelized ILU(k) preconditioner that…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-05-13 Xin Dong , Gene Cooperman

For a bivariate time series $((X_i,Y_i))_{i=1,...,n}$ we want to detect whether the correlation between $X_i$ and $Y_i$ stays constant for all $i = 1,...,n$. We propose a nonparametric change-point test statistic based on Kendall's tau and…

Statistics Theory · Mathematics 2022-04-12 Herold Dehling , Daniel Vogel , Martin Wendler , Dominik Wied

Many statistical learning problems can be posed as minimization of a sum of two convex functions, one typically a composition of non-smooth and linear functions. Examples include regression under structured sparsity assumptions. Popular…

Machine Learning · Statistics 2021-07-19 Seyoon Ko , Donghyeon Yu , Joong-Ho Won

This paper describes our approach for the triple scoring task at the WSDM Cup 2017. The task required participants to assign a relevance score for each pair of entities and their types in a knowledge base in order to enhance the ranking…

Computation and Language · Computer Science 2017-04-06 Ikuya Yamada , Motoki Sato , Hiroyuki Shindo

Modern parallel computing devices, such as the graphics processing unit (GPU), have gained significant traction in scientific and statistical computing. They are particularly well-suited to data-parallel algorithms such as the particle…

Computation · Statistics 2015-06-12 Lawrence M. Murray , Anthony Lee , Pierre E. Jacob

Tensor parallelism is an essential technique for distributed training of large neural networks. However, automatically determining an optimal tensor parallel strategy is challenging due to the gigantic search space, which grows…

Machine Learning · Computer Science 2025-08-06 Ziji Shi , Le Jiang , Ang Wang , Jie Zhang , Chencan Wu , Yong Li , Xiaokui Xiao , Wei Lin , Jialin Li

In view of the tremendous computing power jump of modern RISC processors the interest in parallel computing seems to be thinning out. Why use a complicated system of parallel processors, if the problem can be solved by a single powerful…

comp-gas · Physics 2008-02-03 G. Odor , F. Rohrbach , G. Vesztergombi , G. Varga , F. Tatrai

In practice symmetries of combinatorial structures are computed by transforming the structure into an annotated graph whose automorphisms correspond exactly to the desired symmetries. An automorphism solver is then employed to compute the…

Data Structures and Algorithms · Computer Science 2021-08-11 Markus Anders , Pascal Schweitzer

Partitioning graphs into blocks of roughly equal size such that few edges run between blocks is a frequently needed operation in processing graphs. Recently, size, variety, and structural complexity of these networks has grown dramatically.…

Data Structures and Algorithms · Computer Science 2018-10-16 Yaroslav Akhremtsev , Peter Sanders , Christian Schulz

Markov Chain Monte Carlo (MCMC) algorithms are essential tools in computational statistics for sampling from unnormalised probability distributions, but can be fragile when targeting high-dimensional, multimodal, or complex target…

In this article, we show that the recently introduced ordinal pattern dependence fits into the axiomatic framework of general multivariate dependence measures, i.e., measures of dependence between two multivariate random objects.…

Statistics Theory · Mathematics 2021-08-27 Annika Betken , Herold Dehling , Nüßgen , Alexander Schnurr

We present TeraPart, a memory-efficient multilevel graph partitioning method that is designed to scale to extremely large graphs. In balanced graph partitioning, the goal is to divide the vertices into $k$ blocks with balanced size while…

Data Structures and Algorithms · Computer Science 2024-10-28 Daniel Salwasser , Daniel Seemaier , Lars Gottesbüren , Peter Sanders