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We consider the problem of sampling $n$ numbers from the range $\{1,\ldots,N\}$ without replacement on modern architectures. The main result is a simple divide-and-conquer scheme that makes sequential algorithms more cache efficient and…

Data Structures and Algorithms · Computer Science 2019-11-18 Peter Sanders , Sebastian Lamm , Lorenz Hübschle-Schneider , Emanuel Schrade , Carsten Dachsbacher

Support vector machines (SVM) can classify data sets along highly non-linear decision boundaries because of the kernel-trick. This expressiveness comes at a price: During test-time, the SVM classifier needs to compute the kernel…

Machine Learning · Computer Science 2015-02-03 Zhixiang Xu , Jacob R. Gardner , Stephen Tyree , Kilian Q. Weinberger

Sorting is at the core of many database operations, such as index creation, sort-merge joins, and user-requested output sorting. As GPUs are emerging as a promising platform to accelerate various operations, sorting on GPUs becomes a viable…

Databases · Computer Science 2017-05-22 Elias Stehle , Hans-Arno Jacobsen

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

Model comparison and calibrated uncertainty quantification often require integrating over parameters, but scalable inference can be challenging for complex, multimodal targets. Nested Sampling is a robust alternative to standard MCMC, yet…

Computation · Statistics 2026-05-12 David Yallup , Namu Kroupa , Will Handley

The emergence of heterogeneity and domain-specific architectures targeting deep learning inference show great potential for enabling the deployment of modern CNNs on resource-constrained embedded platforms. A significant development is the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-25 Dmitri Lyalikov

In this paper we consider speedup potential of morphological image filtering on ARM processors. Morphological operations are widely used in image analysis and recognition and their speedup in some cases can significantly reduce overall…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-24 Elena Limonova , Arseny Terekhin , Dmitry Nikolaev , Vladimir Arlazarov

To reduce the area of RISC-V Vector extension (RVV) in small processors, the authors are considering one simple modification: reduce the number of registers in the vector register file. The standard 'V' extension requires 32 vector…

Hardware Architecture · Computer Science 2024-10-14 Eino Jacobs , Dmitry Utyansky , Muhammad Hassan , Thomas Roecker

We propose a novel stochastic reduced-order model (SROM) for complex systems by combining clustering and classification strategies. Specifically, the distance and centroid of centroidal Voronoi tessellation (CVT) are redefined according to…

Numerical Analysis · Mathematics 2022-04-26 Meixin Xiong , Liuhong Chen , Ju Ming , Zhiwen Zhang

Sorting a set of items is a task that can be useful by itself or as a building block for more complex operations. That is why a lot of effort has been put into finding sorting algorithms that sort large sets as fast as possible. But the…

Data Structures and Algorithms · Computer Science 2020-10-05 Timo Bingmann , Jasper Marianczuk , Peter Sanders

Sorting is a fundamental operation across numerous computational domains. Traditionally, this process involves transferring data from main memory to a processing unit for sorting, followed by writing the sorted data back to memory. This…

Hardware Architecture · Computer Science 2026-05-18 Narendra Singh Dhakad , Santosh Kumar Vishvakarma

Support Vector Machines (SVMs) were primarily designed for 2-class classification. But they have been extended for N-class classification also based on the requirement of multiclasses in the practical applications. Although N-class…

Machine Learning · Computer Science 2015-12-03 Aruna Govada , Bhavul Gauri , S. K. Sahay

This paper presents an algorithm for computing Sine-Cosine pairs to modest accuracy, but in a manner which contains no conditional tests or branching, making it highly amenable to vectorization. An exemplary implementation for PowerPC…

Mathematical Software · Computer Science 2007-05-23 Marcus H. Mendenhall

In this paper, we propose a useful replacement for quicksort-style utility functions. The replacement is called Symmetry Partition Sort, which has essentially the same principle as Proportion Extend Sort. The maximal difference between them…

Data Structures and Algorithms · Computer Science 2007-06-04 Jing-Chao Chen

Given a graph G where each node is associated with a set of attributes, attributed network embedding (ANE) maps each node v in G to a compact vector Xv, which can be used in downstream machine learning tasks. Ideally, Xv should capture node…

Social and Information Networks · Computer Science 2023-03-31 Renchi Yang , Jieming Shi , Xiaokui Xiao , Yin Yang , Sourav S. Bhowmick , Juncheng Liu

The assumed hardness of the Shortest Vector Problem in high-dimensional lattices is one of the cornerstones of post-quantum cryptography. The fastest known heuristic attacks on SVP are via so-called sieving methods. While these still take…

Large Language Models (LLMs) excel in natural language processing tasks but pose significant computational and memory challenges for edge deployment due to their intensive resource demands. This work addresses the efficiency of LLM…

Hardware Architecture · Computer Science 2025-07-02 Zhican Wang , Hongxiang Fan , Haroon Waris , Gang Wang , Zhenyu Li , Jianfei Jiang , Yanan Sun , Guanghui He

Many applications in Bayesian statistics are extremely computationally intensive. However, they are often inherently parallel, making them prime targets for modern massively parallel processors. Multi-core and distributed computing is…

Computation · Statistics 2021-05-10 David J. Warne , Scott A. Sisson , Christopher Drovandi

Current architectures are now equipped with matrix computation units designed to enhance AI and high-performance computing applications. Within these architectures, two fundamental instruction types are matrix multiplication and vector…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-03-04 Wenxuan Zhao , Liang Yuan , Baicheng Yan , Penghao Ma , Yunquan Zhang , Long Wang , Zhe Wang

Modern scientific applications are getting more diverse, and the vector lengths in those applications vary widely. Contemporary Vector Processors (VPs) are designed either for short vector lengths, e.g., Fujitsu A64FX with 512-bit ARM SVE…