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The research on indexing repetitive string collections has focused on the same search problems used for regular string collections, though they can make little sense in this scenario. For example, the basic pattern matching query "list all…

数据结构与算法 · 计算机科学 2020-10-15 Gonzalo Navarro

In multiple-choice data structures each element $x$ in a set $S$ of $m$ keys is associated with a random set $e(x) \subseteq [n]$ of buckets with capacity $\ell \geq 1$ by hash functions. This setting is captured by the hypergraph $H =…

数据结构与算法 · 计算机科学 2020-11-03 Stefan Walzer

We describe an algorithm to find maximal exact matches (MEMs) among HiFi reads with homopolymer errors. The main novelty in our work is that we resort to run-length compression to help deal with errors. Our method receives as input a…

数据结构与算法 · 计算机科学 2022-09-01 Diego Díaz-Domínguez , Simon J. Puglisi , Leena Salmela

A near-field simultaneous wireless information and power transfer (SWIPT) network is investigated, where the hybrid beamforming architecture is employed at the base station (BS) for information transmission while charging energy harvesting…

信息论 · 计算机科学 2023-05-09 Zheng Zhang , Yuanwei Liu , Zhaolin Wang , Xidong Mu , Jian Chen

Searching on bipartite graphs is basal and versatile to many real-world Web applications, e.g., online recommendation, database retrieval, and query-document searching. Given a query node, the conventional approaches rely on the similarity…

信息检索 · 计算机科学 2023-04-04 Yankai Chen , Yixiang Fang , Yifei Zhang , Irwin King

We prove several combinatorial properties of suffix arrays, including a characterization of suffix arrays through a bijection with a certain well-defined class of permutations. Our approach is based on the characterization of…

数据结构与算法 · 计算机科学 2012-06-19 Gregory Kucherov , Lilla Tóthmérész , Stéphane Vialette

We introduce a new, practical method for conducting an exact search in a uni- and bidirectional FM index in $O(1)$ time per step while using $O(\log \sigma * n) + o(\log \sigma * \sigma * n)$ bits of space. This is done by replacing the…

数据结构与算法 · 计算机科学 2016-11-18 Christopher Pockrandt , Marcel Ehrhardt , Knut Reinert

The wavelet tree (Grossi et al. [SODA, 2003]) and wavelet matrix (Claude et al. [Inf. Syst., 47:15--32, 2015]) are compact indices for texts over an alphabet $[0,\sigma)$ that support rank, select and access queries in $O(\lg \sigma)$ time.…

数据结构与算法 · 计算机科学 2017-11-13 Johannes Fischer , Florian Kurpicz , Marvin Löbel

The most popular framework for distributed training of machine learning models is the (synchronous) parameter server (PS). This paradigm consists of $n$ workers, which iteratively compute updates of the model parameters, and a stateful PS,…

分布式、并行与集群计算 · 计算机科学 2021-01-26 Chuan Xu , Giovanni Neglia , Nicola Sebastianelli

Perfect hash functions give unique "names" to arbitrary keys requiring only a few bits per key. This is an essential building block in applications like static hash tables, databases, or bioinformatics. This paper introduces the PHast…

数据结构与算法 · 计算机科学 2025-10-23 Piotr Beling , Peter Sanders

We propose a novel framework for fast integral operations by uncovering hidden geometries in the row and column structures of the underlying operators. This is accomplished through the \texttt{Questionnaire} algorithm, an iterative…

数值分析 · 数学 2026-02-27 Pei-Chun Su , Ronald R. Coifman

We propose a multistage method for making inference at all levels of a Bayesian hierarchical model (BHM) using natural data partitions to increase efficiency by allowing computations to take place in parallel form using software that is…

统计方法学 · 统计学 2021-09-23 Devin S. Johnson , Brian M. Brost , Mevin B. Hooten

For an even integer t \geq 2, the Matchings Connecivity matrix H_t is a matrix that has rows and columns both labeled by all perfect matchings of the complete graph K_t on t vertices; an entry H_t[M_1,M_2] is 1 if M_1\cup M_2 is a…

数据结构与算法 · 计算机科学 2012-11-08 Marek Cygan , Stefan Kratsch , Jesper Nederlof

We present a new scalable, lightweight algorithm to incrementally construct the BWT and FM-index of large string sets such as those produced by Next Generation Sequencing. The algorithm is designed for massive parallelism and can…

数据结构与算法 · 计算机科学 2014-10-03 Jacopo Pantaleoni

The Transformer model is widely successful on many natural language processing tasks. However, the quadratic complexity of self-attention limit its application on long text. In this paper, adopting a fine-to-coarse attention mechanism on…

计算与语言 · 计算机科学 2019-11-12 Zihao Ye , Qipeng Guo , Quan Gan , Xipeng Qiu , Zheng Zhang

A wavelet forest for a text $T [1..n]$ over an alphabet $\sigma$ takes $n H_0 (T) + o (n \log \sigma)$ bits of space and supports access and rank on $T$ in $O (\log \sigma)$ time. K\"arkk\"ainen and Puglisi (2011) implicitly introduced…

数据结构与算法 · 计算机科学 2023-08-16 Christina Boucher , Travis Gagie , Aaron Hong , Yansong Li , Norbert Zeh

We study how the application of injective morphisms affects the number $r$ of equal-letter runs in the Burrows-Wheeler Transform (BWT). This parameter has emerged as a key repetitiveness measure in compressed indexing. We focus on the…

形式语言与自动机理论 · 计算机科学 2025-04-25 Gabriele Fici , Giuseppe Romana , Marinella Sciortino , Cristian Urbina

Many hard graph problems, such as Hamiltonian Cycle, become FPT when parameterized by treewidth, a parameter that is bounded only on sparse graphs. When parameterized by the more general parameter clique-width, Hamiltonian Cycle becomes…

数据结构与算法 · 计算机科学 2014-11-24 Sigve Hortemo Sæther

We develop fast approximation algorithms for the minimum-cost version of the Bounded-Degree MST problem (BD-MST) and its generalization the Crossing Spanning Tree problem (Crossing-ST). We solve the underlying LP to within a $(1+\epsilon)$…

数据结构与算法 · 计算机科学 2021-05-19 Chandra Chekuri , Kent Quanrud , Manuel R. Torres

To harness modern multicore processors, it is imperative to develop parallel versions of fundamental algorithms. In this paper, we compare different approaches to parallel best-first search in a shared-memory setting. We present a new…

人工智能 · 计算机科学 2014-01-17 Ethan Burns , Sofia Lemons , Wheeler Ruml , Rong Zhou