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We present parallel algorithms for exact and approximate pattern matching with suffix arrays, using a CREW-PRAM with $p$ processors. Given a static text of length $n$, we first show how to compute the suffix array interval of a given…

Data Structures and Algorithms · Computer Science 2016-06-09 Johannes Fischer , Dominik Köppl , Florian Kurpicz

We first review how we can store a run-length compressed suffix array (RLCSA) for a text $T$ of length $n$ over an alphabet of size $\sigma$ whose Burrows-Wheeler Transform (BWT) consists of $r$ runs in $O \left( \rule{0ex}{2ex} r \log (n /…

Data Structures and Algorithms · Computer Science 2025-04-22 Nathaniel K. Brown , Travis Gagie , Giovanni Manzini , Gonzalo Navarro , Marinella Sciortino

Dynamic tree data structures maintain a forest while supporting insertion and deletion of edges and a broad set of queries in $O(\log n)$ time per operation. Such data structures are at the core of many modern algorithms. Recent work has…

Data Structures and Algorithms · Computer Science 2025-06-23 Humza Ikram , Andrew Brady , Daniel Anderson , Guy Blelloch

Sequence alignment is common nowadays as it is used in many fields to determine how closely two sequences are related and at times to see how little they differ. In computational biology / Bioinformatics, there are many algorithms developed…

Information Theory · Computer Science 2023-05-02 Bharath Reddy , Richard Fields

As AI-based applications become pervasive, CPU vendors are starting to incorporate matrix engines within the datapath to boost efficiency. Systolic arrays have been the premier architectural choice as matrix engines in offload accelerators.…

Hardware Architecture · Computer Science 2021-10-06 Geonhwa Jeong , Eric Qin , Ananda Samajdar , Christopher J. Hughes , Sreenivas Subramoney , Hyesoon Kim , Tushar Krishna

In this paper, we propose several optimizations for the SFA construction algorithm, which greatly reduce the in-memory footprint and the processing steps required to construct an SFA. We introduce fingerprints as a space- and time-efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-27 Minyoung Jung , Bernd Burgstaller , Johann Blieberger

This paper presents a technology for simple and computationally efficient improvements of a generic Artificial Intelligence (AI) system, including Multilayer and Deep Learning neural networks. The improvements are, in essence, small network…

Artificial Intelligence · Computer Science 2019-02-14 Ivan Y. Tyukin , Alexander N. Gorban , Stephen Green , Danil Prokhorov

Advances in DNA sequencing technology have stimulated the development of algorithms and tools for processing very large collections of short strings (reads). Short-read alignment and assembly are among the most well-studied problems. Many…

Genomics · Quantitative Biology 2014-01-30 Chi-Man Liu , Ruibang Luo , Tak-Wah Lam

One of the most computationally intensive tasks in computational biology is de novo genome assembly, the decoding of the sequence of an unknown genome from redundant and erroneous short sequences. A common assembly paradigm identifies…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-21 Giulia Guidi , Oguz Selvitopi , Marquita Ellis , Leonid Oliker , Katherine Yelick , Aydin Buluc

The string graph for a collection of next-generation reads is a lossless data representation that is fundamental for de novo assemblers based on the overlap-layout-consensus paradigm. In this paper, we explore a novel approach to compute…

Data Structures and Algorithms · Computer Science 2017-05-30 Paola Bonizzoni , Gianluca Della Vedova , Yuri Pirola , Marco Previtali , Raffaella Rizzi

The linear-size suffix tries (LSTries) [Crochemore et al., TCS 2016] are a version of suffix trees in which the edge labels are single characters, yet are able to perform pattern matching queries in optimal time. Instead of explicitly…

Data Structures and Algorithms · Computer Science 2024-08-09 Shunsuke Inenaga

Computation of a signal's estimated covariance matrix is an important building block in signal processing, e.g., for spectral estimation. Each matrix element is a sum of products of elements in the input matrix taken over a sliding window.…

Data Structures and Algorithms · Computer Science 2013-03-12 Oded Green , Lior David , Ami Galperin , Yitzhak Birk

This paper presents \pandora, a novel parallel algorithm for efficiently constructing dendrograms for single-linkage hierarchical clustering, including \hdbscan. Traditional dendrogram construction methods from a minimum spanning tree…

Machine Learning · Computer Science 2025-04-29 Piyush Sao , Andrey Prokopenko , Damien Lebrun-Grandié

Packing several characters into one computer word is a simple and natural way to compress the representation of a string and to speed up its processing. Exploiting this idea, we propose an index for a packed string, based on a {\em sparse…

Data Structures and Algorithms · Computer Science 2015-03-19 Roman Kolpakov , Gregory Kucherov , Tatiana Starikovskaya

We present a new semi-external algorithm that builds the Burrows--Wheeler transform variant of Bauer et al. (a.k.a., BCR BWT) in linear expected time. Our method uses compression techniques to reduce computational costs when the input is…

Data Structures and Algorithms · Computer Science 2023-08-15 Diego Díaz-Domínguez , Gonzalo Navarro

The Suffix Array $SA_S[1\ldots n]$ of an $n$-length string $S$ is a lexicographically sorted array of the suffixes of $S$. The suffix array is one of the most well known and widely used data structures in string algorithms. We present a…

Data Structures and Algorithms · Computer Science 2021-12-24 Amihood Amir , Itai Boneh

We propose methods that enable efficient hierarchical classification in parallel. Our methods transform a batch of classification scores and labels, corresponding to given nodes in a semantic tree, to scores and labels corresponding to all…

Machine Learning · Computer Science 2022-09-22 Franz A. Heinsen

Designing the structure of neural networks is considered one of the most challenging tasks in deep learning, especially when there is few prior knowledge about the task domain. In this paper, we propose an Ecologically-Inspired GENetic…

Neural and Evolutionary Computing · Computer Science 2019-04-16 Jian Ren , Zhe Li , Jianchao Yang , Ning Xu , Tianbao Yang , David J. Foran

We present a constituency parsing algorithm that, like a supertagger, works by assigning labels to each word in a sentence. In order to maximally leverage current neural architectures, the model scores each word's tags in parallel, with…

Computation and Language · Computer Science 2020-06-30 Nikita Kitaev , Dan Klein

Suffix arrays and LCP arrays are one of the most fundamental data structures widely used for various kinds of string processing. We consider two problems for a read-only string of length $N$ over an integer alphabet $[1, \dots, \sigma]$ for…

Data Structures and Algorithms · Computer Science 2019-07-16 Keisuke Goto
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