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We introduce a new notion of information complexity for multi-pass streaming problems and use it to resolve several important questions in data streams. In the coin problem, one sees a stream of $n$ i.i.d. uniform bits and one would like to…

计算复杂性 · 计算机科学 2024-04-01 Mark Braverman , Sumegha Garg , Qian Li , Shuo Wang , David P. Woodruff , Jiapeng Zhang

Burrows-Wheeler transform (BWT) is an invertible text transformation that, given a text $T$ of length $n$, permutes its symbols according to the lexicographic order of suffixes of $T$. BWT is one of the most heavily studied algorithms in…

数据结构与算法 · 计算机科学 2020-12-09 Dominik Kempa , Tomasz Kociumaka

Strings in the real world are often encoded with some level of uncertainty. In the character-level uncertainty model, an uncertain string $X$ of length $n$ on an alphabet $\Sigma$ is a sequence of $n$ probability distributions over…

数据结构与算法 · 计算机科学 2024-03-22 Esteban Gabory , Chang Liu , Grigorios Loukides , Solon P. Pissis , Wiktor Zuba

The circuit-level implementation of a quantum string-matching algorithm, which matches a search string (pattern) of length $M$ inside a longer text of length $N$, has already been demonstrated in the literature to outperform its classical…

量子物理 · 物理学 2023-04-07 Amit Saha , Om Khanna

In this paper we describe compressed indexes that support pattern matching queries for strings with wildcards. For a constant size alphabet our data structure uses $O(n\log^{\varepsilon}n)$ bits for any $\varepsilon>0$ and reports all…

数据结构与算法 · 计算机科学 2014-01-06 Moshe Lewenstein , Yakov Nekrich , Jeffrey Scott Vitter

The vast majority of textual content is unstructured, making automated classification an important task for many applications. The goal of text classification is to automatically classify text documents into one or more predefined…

计算与语言 · 计算机科学 2021-08-05 Ibrahim Alshubaily

Given a string $S$ of length $N$ on a fixed alphabet of $\sigma$ symbols, a grammar compressor produces a context-free grammar $G$ of size $n$ that generates $S$ and only $S$. In this paper we describe data structures to support the…

数据结构与算法 · 计算机科学 2014-08-15 Djamal Belazzougui , Simon J. Puglisi , Yasuo Tabei

Shannon's entropy is a definitive lower bound for statistical compression. Unfortunately, no such clear measure exists for the compressibility of repetitive strings. Thus, ad hoc measures are employed to estimate the repetitiveness of…

数据结构与算法 · 计算机科学 2023-11-16 Giulia Bernardini , Gabriele Fici , Paweł Gawrychowski , Solon P. Pissis

The traditional approach to morphological inflection (the task of modifying a base word (lemma) to express grammatical categories) has been, for decades, to consider lexical entries of lemma-tag-form triples uniformly, lacking any…

计算与语言 · 计算机科学 2025-10-28 Tomáš Sourada , Jana Straková

In many applications, it is necessary to determine the string similarity. Edit distance[WF74] approach is a classic method to determine Field Similarity. A well known dynamic programming algorithm [GUS97] is used to calculate edit distance…

数据结构与算法 · 计算机科学 2007-05-23 Qi Xiao Yang , Sung Sam Yuan , Lu Chun , Li Zhao , Sun Peng

Keyword extraction is the process of identifying the words or phrases that express the main concepts of text to the best of one's ability. Electronic infrastructure creates a considerable amount of text every day and at all times. This…

计算与语言 · 计算机科学 2021-10-04 Aidin Zehtab-Salmasi , Mohammad-Reza Feizi-Derakhshi , Mohamad-Ali Balafar

In this work, we study the problem of detecting periodic trends in strings. While detecting exact periodicity has been studied extensively, real-world data is often noisy, where small deviations or mismatches occur between repetitions. This…

数据结构与算法 · 计算机科学 2025-09-22 Taha El Ghazi , Tatiana Starikovskaya

The Suffix Array is a classic text index enabling on-line pattern matching queries via simple binary search. The main drawback of the Suffix Array is that it takes linear space in the text's length, even if the text itself is extremely…

数据结构与算法 · 计算机科学 2025-03-19 Davide Cenzato , Lore Depuydt , Travis Gagie , Sung-Hwan Kim , Giovanni Manzini , Francisco Olivares , Nicola Prezza

Suffix trees and suffix arrays are two of the most widely used data structures for text indexing. Each uses linear space and can be constructed in linear time for polynomially sized alphabets. However, when it comes to answering queries…

数据结构与算法 · 计算机科学 2013-11-08 Richard Cole , Tsvi Kopelowitz , Moshe Lewenstein

We consider the constraints on string networks with junctions in which the strings may all be different, as may be found for example in a network of $(p,q)$ cosmic superstrings. We concentrate on three aspects of junction dynamics. First we…

高能物理 - 理论 · 物理学 2008-11-26 E. J. Copeland , T. W. B. Kibble , D. A. Steer

We study a new class of networks, generated by sequences of letters taken from a finite alphabet consisting of $m$ letters (corresponding to $m$ types of nodes) and a fixed set of connectivity rules. Recently, it was shown how a binary…

无序系统与神经网络 · 物理学 2009-02-17 Jie Sun , Takashi Nishikawa , Daniel ben-Avraham

CNNs exhibit many behaviors different from humans, one of which is the capability of employing high-frequency components. This paper discusses the frequency bias phenomenon in image classification tasks: the high-frequency components are…

计算机视觉与模式识别 · 计算机科学 2022-08-17 Zhiyu Lin , Yifei Gao , Jitao Sang

String constraint solving refers to solving combinatorial problems involving constraints over string variables. String solving approaches have become popular over the last years given the massive use of strings in different application…

人工智能 · 计算机科学 2021-07-01 Roberto Amadini

Given a dataset of $n$ user-contributed strings, each of length at most $\ell$, a key problem is how to identify all frequent substrings while preserving each user's privacy. Recent work by Bernardini et al. (PODS'25) introduced a…

数据结构与算法 · 计算机科学 2026-03-11 Peaker Guo , Rayne Holland , Hao Wu

Many consensus string problems are based on Hamming distance. We replace Hamming distance by the more flexible (e.g., easily coping with different input string lengths) dynamic time warping distance, best known from applications in time…

离散数学 · 计算机科学 2020-02-05 Nathan Schaar , Vincent Froese , Rolf Niedermeier