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We consider words as a network of interacting letters, and approximate the probability distribution of states taken on by this network. Despite the intuition that the rules of English spelling are highly combinatorial (and arbitrary), we…

神经元与认知 · 定量生物学 2025-02-13 Greg J. Stephens , William Bialek

The dictionary matching problem preprocesses a set of patterns and finds all occurrences of each of the patterns in a text when it is provided. We focus on the dynamic setting, in which patterns can be inserted to and removed from the…

数据结构与算法 · 计算机科学 2013-02-04 Shoshana Marcus , Dina Sokol

We study the distribution and the popularity of some patterns in $k$-ary faro words, i.e. words over the alphabet $\{1, 2, \ldots, k\}$ obtained by interlacing the letters of two nondecreasing words of lengths differing by at most one. We…

组合数学 · 数学 2021-05-19 Jean-Luc Baril , Alexander Burstein , Sergey Kirgizov

The topic of this paper is the distributed and incremental generation of long executions of concurrent systems, uniformly or more generally with weights associated to elementary actions. Synchronizing sequences of letters on alphabets…

形式语言与自动机理论 · 计算机科学 2017-04-27 Samy Abbes

In this paper we will look at the distribution with which passwords are chosen. Zipf's Law is commonly observed in lists of chosen words. Using password lists from four different on-line sources, we will investigate if Zipf's law is a good…

密码学与安全 · 计算机科学 2015-09-02 David Malone , Kevin Maher

Density Ratio Estimation has attracted attention from the machine learning community due to its ability to compare the underlying distributions of two datasets. However, in some applications, we want to compare distributions of random…

机器学习 · 统计学 2020-06-26 Song Liu , Yulong Zhang , Mingxuan Yi , Mladen Kolar

We consider string matching with variable length gaps. Given a string $T$ and a pattern $P$ consisting of strings separated by variable length gaps (arbitrary strings of length in a specified range), the problem is to find all ending…

数据结构与算法 · 计算机科学 2011-10-14 Philip Bille , Inge Li Goertz , Hjalte Wedel Vildhøj , David Kofoed Wind

Traditional linguistic theories have largely regard language as a formal system composed of rigid rules. However, their failures in processing real language, the recent successes in statistical natural language processing, and the findings…

计算与语言 · 计算机科学 2020-12-02 Shuiyuan Yu , Chunshan Xu , Haitao Liu

It is shown that for finding rational approximates to m'th root of any integer to any accuracy one only needs the ability to count and to distinguish between m different classes of objects. To every integer N can be associated a…

综合数学 · 数学 2007-05-23 Ashok Kumar Gupta , Ashok Kumar Mittal

Latent semantic representations of words or paragraphs, namely the embeddings, have been widely applied to information retrieval (IR). One of the common approaches of utilizing embeddings for IR is to estimate the document-to-query (D2Q)…

信息检索 · 计算机科学 2017-08-11 Chenhao Yang , Ben He , Yanhua Ran

Adaptations of features commonly applied in the field of visual computing, co-occurrence matrix (COM) and run-length matrix (RLM), are proposed for the similarity computation of strings in general (words, phrases, codes and texts). The…

机器学习 · 计算机科学 2026-05-15 E. O. Rodrigues , D. Casanova , M. Teixeira , V. Pegorini , F. Favarim , E. Clua , A. Conci , Panos Liatsis

In many empirical studies of a large two-sided matching market (such as in a college admissions problem), the researcher performs statistical inference under the assumption that they observe a random sample from a large matching market. In…

计量经济学 · 经济学 2024-04-02 Jacob Schwartz , Kyungchul Song

The probabilistic graphs framework models the uncertainty inherent in real-world domains by means of probabilistic edges whose value quantifies the likelihood of the edge existence or the strength of the link it represents. The goal of this…

人工智能 · 计算机科学 2012-05-25 Claudio Taranto , Nicola Di Mauro , Floriana Esposito

We study strategies of approximate pattern matching that exploit bidirectional text indexes, extending and generalizing ideas of Lam et al. We introduce a formalism, called search schemes, to specify search strategies of this type, then…

数据结构与算法 · 计算机科学 2015-09-08 Gregory Kucherov , Kamil Salikhov , Dekel Tsur

Overlapping frequently occurs in paired texts in natural language processing tasks like text editing and semantic similarity evaluation. Better evaluation of the semantic distance between the overlapped sentences benefits the language…

计算与语言 · 计算机科学 2023-06-14 Letian Peng , Zuchao Li , Hai Zhao

Motivated by real-world machine learning applications, we analyze approximations to the non-asymptotic fundamental limits of statistical classification. In the binary version of this problem, given two training sequences generated according…

信息论 · 计算机科学 2018-12-07 Lin Zhou , Vincent Y. F. Tan , Mehul Motani

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

Matching statistics were introduced to solve the approximate string matching problem, which is a recurrent subroutine in bioinformatics applications. In 2010, Ohlebusch et al. [SPIRE 2010] proposed a time and space efficient algorithm for…

数据结构与算法 · 计算机科学 2023-01-16 Alessio Conte , Nicola Cotumaccio , Travis Gagie , Giovanni Manzini , Nicola Prezza , Marinella Sciortino

We study the classical approximate string matching problem, that is, given strings $P$ and $Q$ and an error threshold $k$, find all ending positions of substrings of $Q$ whose edit distance to $P$ is at most $k$. Let $P$ and $Q$ have…

数据结构与算法 · 计算机科学 2011-03-21 Philip Bille

Approximate pattern matching is a natural and well-studied problem on strings: Given a text $T$, a pattern $P$, and a threshold $k$, find (the starting positions of) all substrings of $T$ that are at distance at most $k$ from $P$. We…

数据结构与算法 · 计算机科学 2020-11-17 Panagiotis Charalampopoulos , Tomasz Kociumaka , Philip Wellnitz