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K-mer abundance analysis is widely used for many purposes in nucleotide sequence analysis, including data preprocessing for de novo assembly, repeat detection, and sequencing coverage estimation. We present the khmer software package for…

Genomics · Quantitative Biology 2014-08-07 Qingpeng Zhang , Jason Pell , Rosangela Canino-Koning , Adina Chuang Howe , C. Titus Brown

We propose a new algorithm for k-means clustering in a distributed setting, where the data is distributed across many machines, and a coordinator communicates with these machines to calculate the output clustering. Our algorithm guarantees…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-14 Tom Hess , Ron Visbord , Sivan Sabato

Counting triangles in a graph and incident to each vertex is a fundamental and frequently considered task of graph analysis. We consider how to efficiently do this for huge graphs using massively parallel distributed-memory machines.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-24 Peter Sanders , Tim Niklas Uhl

The $k$-center problem is a fundamental optimization problem with numerous applications in machine learning, data analysis, data mining, and communication networks. The $k$-center problem has been extensively studied in the classical…

Data Structures and Algorithms · Computer Science 2025-04-28 Artur Czumaj , Guichen Gao , Mohsen Ghaffari , Shaofeng H. -C. Jiang

Large-scale genomic workflows used in precision medicine can process datasets spanning tens to hundreds of gigabytes per sample, leading to high memory spikes, intensive disk I/O, and task failures due to out-of-memory errors. Simple static…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-21 Daniel Mas Montserrat , Ray Verma , Míriam Barrabés , Francisco M. de la Vega , Carlos D. Bustamante , Alexander G. Ioannidis

The third-generation long reads sequencing technologies, such as PacBio and Nanopore, have great advantages over second-generation Illumina sequencing in de novo assembly studies. However, due to the inherent low base accuracy,…

Genomics · Quantitative Biology 2020-03-27 Hengchao Wang , Bo Liu , Yan Zhang , Fan Jiang , Yuwei Ren , Lijuan Yin , Hangwei Liu , Sen Wang , Wei Fan

In this paper, we consider the convergence of a very general asynchronous-parallel algorithm called ARock, that takes many well-known asynchronous algorithms as special cases (gradient descent, proximal gradient, Douglas Rachford, ADMM,…

Optimization and Control · Mathematics 2017-08-28 Robert Hannah , Wotao Yin

The analysis of biological sequencing data has been one of the biggest applications of string algorithms. The approaches used in many such applications are based on the analysis of k-mers, which are short fixed-length strings present in a…

Data Structures and Algorithms · Computer Science 2020-06-15 Rayan Chikhi , Jan Holub , Paul Medvedev

Similarity search based on a distance function in metric spaces is a fundamental problem for many applications. Queries for similar objects lead to the well-known machine learning task of nearest-neighbours identification. Many data…

Information Retrieval · Computer Science 2022-08-05 Felipe Ortega , Maria Jesus Algar , Isaac Martín de Diego , Javier M. Moguerza

Maximal Clique Enumeration (MCE) is a fundamental graph mining problem, and is useful as a primitive in identifying dense structures in a graph. Due to the high computational cost of MCE, parallel methods are imperative for dealing with…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-31 Apurba Das , Seyed-Vahid Sanei-Mehri , Srikanta Tirthapura

Motivation: With the rapid expansion of large-scale biological datasets, DNA and protein sequence alignments have become essential for comparative genomics and proteomics. These alignments facilitate the exploration of sequence similarity…

Genomics · Quantitative Biology 2024-12-02 Michail Patsakis , Kimonas Provatas , Ioannis Mouratidis , Ilias Georgakopoulos-Soares

Finding the longest common subsequence in $k$-length substrings (LCS$k$) is a recently proposed problem motivated by computational biology. This is a generalization of the well-known LCS problem in which matching symbols from two sequences…

Data Structures and Algorithms · Computer Science 2013-11-20 Sebastian Deorowicz , Szymon Grabowski

Conventional tomographic reconstruction typically depends on centralized servers for both data storage and computation, leading to concerns about memory limitations and data privacy. Distributed reconstruction algorithms mitigate these…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-10 Runxuan Miao , Selin Aslan , Erdem Koyuncu , Doğa Gürsoy

Modern high throughput sequencing technologies like metagenomic sequencing generate millions of sequences which have to be classified based on their taxonomic rank. Modern approaches either apply local alignment and comparison to existing…

Genomics · Quantitative Biology 2023-03-14 Wolfgang Fuhl , Susanne Zabel , Kay Nieselt

This paper presents an accelerated spherical K-means clustering algorithm for large-scale and high-dimensional sparse document data sets. We design an algorithm working in an architecture-friendly manner (AFM), which is a procedure of…

Machine Learning · Statistics 2024-11-19 Kazuo Aoyama , Kazumi Saito

Distributed quantum computing (DQC) is a promising technique for scaling up quantum systems. While significant progress has been made in DQC for quantum circuit models, there exists much less research on DQC for measurement-based quantum…

Quantum Physics · Physics 2026-01-05 Yecheng Xue , Rui Yang , Zhiding Liang , Tongyang Li

The emergence of Next Generation Sequencing (NGS) platforms has increased the throughput of genomic sequencing and in turn the amount of data that needs to be processed, requiring highly efficient computation for its analysis. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-12 Nicola Cadenelli , Jorda Polo , David Carrera

In this paper, we consider distributed algorithms for solving the empirical risk minimization problem under the master/worker communication model. We develop a distributed asynchronous quasi-Newton algorithm that can achieve superlinear…

Optimization and Control · Mathematics 2019-06-11 Saeed Soori , Konstantin Mischenko , Aryan Mokhtari , Maryam Mehri Dehnavi , Mert Gurbuzbalaban

This paper introduces a novel K-means clustering algorithm, an advancement on the conventional Big-means methodology. The proposed method efficiently integrates parallel processing, stochastic sampling, and competitive optimization to…

Machine Learning · Computer Science 2024-03-28 Rustam Mussabayev , Ravil Mussabayev

k-means is one of the most influential and utilized machine learning algorithms. Its computation limits the performance and scalability of many statistical analysis and machine learning tasks. We rethink and optimize k-means in terms of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-27 Disa Mhembere , Da Zheng , Carey E. Priebe , Joshua T. Vogelstein , Randal Burns