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Graph sketching has emerged as a powerful technique for processing massive graphs that change over time (i.e., are presented as a dynamic stream of edge updates) over the past few years, starting with the work of Ahn, Guha and McGregor…

数据结构与算法 · 计算机科学 2019-03-29 Michael Kapralov , Aida Mousavifar , Cameron Musco , Christopher Musco , Navid Nouri

In this paper we study the fundamental problem of maintaining a dynamic collection of strings under the following operations: concat - concatenates two strings, split - splits a string into two at a given position, compare - finds the…

数据结构与算法 · 计算机科学 2016-04-11 Paweł Gawrychowski , Adam Karczmarz , Tomasz Kociumaka , Jakub Łącki , Piotr Sankowski

We give an $\tilde O(n^2)$ time algorithm for computing the exact Dynamic Time Warping distance between two strings whose run-length encoding is of size at most $n$. This matches (up to log factors) the known (conditional) lower bound, and…

数据结构与算法 · 计算机科学 2023-02-14 Itai Boneh , Shay Golan , Shay Mozes , Oren Weimann

We study the document exchange problem under multiple substring edits. A substring edit in a string $\mathbf{x}$ occurs when a substring $\mathbf{u}$ of $\mathbf{x}$ is replaced by an arbitrary string $\mathbf{v}$. The lengths of…

信息论 · 计算机科学 2026-01-27 Hrishi Narayanan , Vinayak Ramkumar , Rawad Bitar , Antonia Wachter-Zeh

In this paper we exploit concepts of information theory to address the fundamental problem of identifying and defining the most suitable tools to extract, in a automatic and agnostic way, information from a generic string of characters. We…

统计力学 · 物理学 2009-11-10 Andrea Baronchelli , Emanuele Caglioti , Vittorio Loreto

Pairwise alignment of DNA sequencing data is a ubiquitous task in bioinformatics and typically represents a heavy computational burden. A standard approach to speed up this task is to compute "sketches" of the DNA reads (typically via…

信息论 · 计算机科学 2021-07-12 Ilan Shomorony , Govinda M. Kamath

We study both global as well as local (Nielsen-Olesen) strings in de Sitter space. While these type of topological defects have been studied in the background of a de Sitter metric previously, we study here the full set of coupled…

高能物理 - 理论 · 物理学 2009-11-10 Eugenio R. Bezerra de Mello , Yves Brihaye , Betti Hartmann

We give a generalized definition of stretch that simplifies the efficient construction of low-stretch embeddings suitable for graph algorithms. The generalization, based on discounting highly stretched edges by taking their $p$-th power for…

数据结构与算法 · 计算机科学 2014-02-07 Michael B. Cohen , Gary L. Miller , Jakub W. Pachocki , Richard Peng , Shen Chen Xu

We study the problem of approximating the edit distance of two strings in sublinear time, in a setting where one or both string(s) are preprocessed, as initiated by Goldenberg, Rubinstein, Saha (STOC '20). Specifically, in the $(k, K)$-gap…

数据结构与算法 · 计算机科学 2022-10-13 Karl Bringmann , Alejandro Cassis , Nick Fischer , Vasileios Nakos

A graph spanner is a fundamental graph structure that faithfully preserves the pairwise distances in the input graph up to a small multiplicative stretch. The common objective in the computation of spanners is to achieve the best-known…

数据结构与算法 · 计算机科学 2019-02-25 Merav Parter , Ronitt Rubinfeld , Ali Vakilian , Anak Yodpinyanee

Dictionary learning is a cutting-edge area in imaging processing, that has recently led to state-of-the-art results in many signal processing tasks. The idea is to conduct a linear decomposition of a signal using a few atoms of a learned…

机器学习 · 统计学 2016-05-26 Simeng Qu , Xiao Wang

To see is to sketch -- free-hand sketching naturally builds ties between human and machine vision. In this paper, we present a novel approach for translating an object photo to a sketch, mimicking the human sketching process. This is an…

计算机视觉与模式识别 · 计算机科学 2018-05-02 Jifei Song , Kaiyue Pang , Yi-Zhe Song , Tao Xiang , Timothy Hospedales

In this paper we study codes for correcting deletable errors in binary words, where each bit is either retained, substituted, erased or deleted and the total number of errors is much smaller compared to the length of the codeword. We…

信息论 · 计算机科学 2021-03-02 Ghurumuruhan Ganesan

Many words have evolved in meaning as a result of cultural and social change. Understanding such changes is crucial for modelling language and cultural evolution. Low-dimensional embedding methods have shown promise in detecting words'…

计算与语言 · 计算机科学 2019-10-22 Xiaofei Xu , Ke Deng , Fei Hu , Li Li

Reed-Muller codes encode an $m$-variate polynomial of degree $r$ by evaluating it on all points in $\{0,1\}^m$. We denote this code by $RM(m,r)$. The minimal distance of $RM(m,r)$ is $2^{m-r}$ and so it cannot correct more than half that…

信息论 · 计算机科学 2015-08-28 Ramprasad Saptharishi , Amir Shpilka , Ben Lee Volk

In this paper, we consider the problem of estimating the distance between any two large data streams in small- space constraint. This problem is of utmost importance in data intensive monitoring applications where input streams are…

数据结构与算法 · 计算机科学 2012-08-01 Emmanuelle Anceaume , Yann Busnel

We study the semiclassical decay of macroscopic spinning strings in AdS_5 x S^5 through spontaneous splitting of the folded string worldsheet. Based on similar considerations in flat space this decay channel is expected to dominate the full…

高能物理 - 理论 · 物理学 2008-11-26 Kasper Peeters , Jan Plefka , Marija Zamaklar

We exhibit a simple class of exactly marginal "double-trace" deformations of two dimensional CFTs which have AdS_3 duals, in which the deformation is given by a product of left and right-moving U(1) currents. In this special case the…

高能物理 - 理论 · 物理学 2009-09-29 Ofer Aharony , Micha Berkooz , Eva Silverstein

This work constructs codes that are efficiently decodable from a constant fraction of \emph{worst-case} insertion and deletion errors in three parameter settings: (i) Binary codes with rate approaching 1; (ii) Codes with constant rate for…

信息论 · 计算机科学 2016-05-17 Venkatesan Guruswami , Ray Li

String sorting is an important part of tasks such as building index data structures. Unfortunately, current string sorting algorithms do not scale to massively parallel distributed-memory machines since they either have latency (at least)…

数据结构与算法 · 计算机科学 2024-04-26 Florian Kurpicz , Pascal Mehnert , Peter Sanders , Matthias Schimek
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