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Numerical algebraic geometry provides a number of efficient tools for approximating the solutions of polynomial systems. One such tool is the parameter homotopy, which can be an extremely efficient method to solve numerous polynomial…

Algebraic Geometry · Mathematics 2018-04-13 Daniel J. Bates , Danielle Brake , Matthew Niemerg

K-means++ is an algorithm which is invented to improve the process of finding initial seeds in K-means algorithm. In this algorithm, initial seeds are chosen consecutively by a probability which is proportional to the distance to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-07 Maliheh Heydarpour Shahrezaei , Reza Tavoli

A distributed-memory parallelization strategy for the density matrix renormalization group is proposed for cases where correlation functions are required. This new strategy has substantial improvements with respect to previous works. A…

Strongly Correlated Electrons · Physics 2010-04-20 Julian Rincon , D. J. Garcia , K. Hallberg

Many commonly studied species now have more than one chromosome-scale genome assembly, revealing a large amount of genetic diversity previously missed by approaches that map short reads to a single reference. However, many species still…

Populations and Evolution · Quantitative Biology 2024-09-19 Miles D. Roberts , Olivia Davis , Emily B. Josephs , Robert J. Williamson

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

Pairwise alignment of DNA sequencing data is a ubiquitous task in bioinformatics and typically represents a heavy computational burden. State-of-the-art approaches to speed up this task use hashing to identify short segments (k-mers) that…

Machine Learning · Computer Science 2021-02-16 Govinda M. Kamath , Tavor Z. Baharav , Ilan Shomorony

We present the first (randomized) parallel dynamic algorithm for maximal matching, which can process an arbitrary number of updates simultaneously. Given a batch of edge deletion or insertion updates to the graph, our parallel algorithm…

Data Structures and Algorithms · Computer Science 2024-09-25 Mohsen Ghaffari , Anton Trygub

It has been shown that a class of probabilistic domain models cannot be learned correctly by several existing algorithms which employ a single-link look ahead search. When a multi-link look ahead search is used, the computational complexity…

Artificial Intelligence · Computer Science 2013-02-08 TongSheng Chu , Yang Xiang

Maintaining a dynamic $k$-core decomposition is an important problem that identifies dense subgraphs in dynamically changing graphs. Recent work by Liu et al. [SPAA 2022] presents a parallel batch-dynamic algorithm for maintaining an…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-17 Quanquan C. Liu , Julian Shun , Igor Zablotchi

Sparse General Matrix Multiply (SpGEMM) is key for various High-Performance Computing (HPC) applications such as genomics and graph analytics. Using the semiring abstraction, many algorithms can be formulated as SpGEMM, allowing…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-23 Thomas McFarland , Julian Bellavita , Giulia Guidi

General sparse matrix-matrix multiplication (SpGEMM) is a fundamental building block for numerous applications such as algebraic multigrid method (AMG), breadth first search and shortest path problem. Compared to other sparse BLAS routines,…

Mathematical Software · Computer Science 2015-09-15 Weifeng Liu , Brian Vinter

Statistical methods for genomewide association studies (GWAS) continue to improve. However, the increasing volume and variety of genetic and genomic data make computational speed and ease of data manipulation mandatory in future software.…

Traditional heterogeneous parallel algorithms, designed for heterogeneous clusters of workstations, are based on the assumption that the absolute speed of the processors does not depend on the size of the computational task. This assumption…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-09-15 Alexey Lastovetsky , Ravi Reddy , Vladimir Rychkov , David Clarke

The capability of classifying and clustering a desired set of data is an essential part of building knowledge from data. However, as the size and dimensionality of input data increases, the run-time for such clustering algorithms is…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-25 Hadi Mardani Kamali

DNA sequencing, especially of microbial genomes and metagenomes, has been at the core of recent research advances in large-scale comparative genomics. The data deluge has resulted in exponential growth in genomic datasets over the past…

Within the context of topological data analysis, the problems of identifying topological significance and matching signals across datasets are important and useful inferential tasks in many applications. The limitation of existing solutions…

Algebraic Topology · Mathematics 2024-06-26 Inés García-Redondo , Anthea Monod , Anna Song

Semisort is a fundamental algorithmic primitive widely used in the design and analysis of efficient parallel algorithms. It takes input as an array of records and a function extracting a \emph{key} per record, and reorders them so that…

Data Structures and Algorithms · Computer Science 2023-04-21 Xiaojun Dong , Yunshu Wu , Zhongqi Wang , Laxman Dhulipala , Yan Gu , Yihan Sun

Generalized sparse matrix-matrix multiplication (or SpGEMM) is a key primitive for many high performance graph algorithms as well as for some linear solvers, such as algebraic multigrid. Here we show that SpGEMM also yields efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Aydin Buluc , John Gilbert

In this work, we consider the reformulation of hierarchical ($\mathcal{H}$) matrix algorithms for many-core processors with a model implementation on graphics processing units (GPUs). $\mathcal{H}$ matrices approximate specific dense…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-04 Peter Zaspel

The self-join finds all objects in a dataset that are within a search distance, epsilon, of each other; therefore, the self-join is a building block of many algorithms. We advance a GPU-accelerated self-join algorithm targeted towards high…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-27 Michael Gowanlock , Ben Karsin