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In this work we study reverse complementary genomic word pairs in the human DNA, by comparing both the distance distribution and the frequency of a word to those of its reverse complement. Several measures of dissimilarity between distance…

In this work we seek clusters of genomic words in human DNA by studying their inter-word lag distributions. Due to the particularly spiked nature of these histograms, a clustering procedure is proposed that first decomposes each…

应用统计 · 统计学 2021-01-13 Ana Helena Tavares , Jakob Raymaekers , Peter J. Rousseeuw , Paula Brito , Vera Afreixo

Divergent word usages reflect differences among people. In this paper, we present a novel angle for studying word usage divergence -- word interpretations. We propose an approach that quantifies semantic differences in interpretations among…

计算与语言 · 计算机科学 2017-03-30 Tianran Hu , Ruihua Song , Maya Abtahian , Philip Ding , Xing Xie , Jiebo Luo

Various approaches to alignment-free sequence comparison are based on the length of exact or inexact word matches between two input sequences. Haubold {\em et al.} (2009) showed how the average number of substitutions between two DNA…

种群与进化 · 定量生物学 2017-09-06 Burkhard Morgenstern , Svenja Schöbel , Chris-André Leimeister

There have been several efforts to extend distributional semantics beyond individual words, to measure the similarity of word pairs, phrases, and sentences (briefly, tuples; ordered sets of words, contiguous or noncontiguous). One way to…

机器学习 · 计算机科学 2013-10-21 Peter D. Turney

The analysis of strings of $n$ random variables with geometric distribution has recently attracted renewed interest: Archibald et al. consider the number of distinct adjacent pairs in geometrically distributed words. They obtain the…

概率论 · 数学 2024-02-14 Guy Louchard , Werner Schachinger , Mark Daniel Ward

A binary word is symmetric if it is a palindrome or an antipalindrome. We define a new measure of asymmetry of a binary word equal to the minimal number of letters of the word whose deleting from the word yields a symmetric word and obtain…

组合数学 · 数学 2010-04-09 Alex Ravsky

A sequence of geometric random variables of length $n$ is a sequence of $n$ independent and identically distributed geometric random variables ($\Gamma_1, \Gamma_2, \dots, \Gamma_n$) where $\mathbb{P}(\Gamma_j=i)=pq^{i-1}$ for…

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

The ability to mimic human notions of semantic distance has widespread applications. Some measures rely only on raw text (distributional measures) and some rely on knowledge sources such as WordNet. Although extensive studies have been…

计算与语言 · 计算机科学 2012-03-09 Saif M. Mohammad , Graeme Hirst

Word matches are often used in sequence comparison methods, either as a measure of sequence similarity or in the first search steps of algorithms such as BLAST or BLAT. The D2 statistic is the number of matches of words of k letters between…

定量方法 · 定量生物学 2009-09-09 Sylvain Foret , Susan R. Wilson , Conrad J. Burden

Sentence similarity is considered the basis of many natural language tasks such as information retrieval, question answering and text summarization. The semantic meaning between compared text fragments is based on the words semantic…

信息检索 · 计算机科学 2016-10-17 Issa Atoum , Ahmed Otoom , Narayanan Kulathuramaiyer

We study the notion of inhomogeneous Poissonian pair correlations, proving several properties that show similarities and differences to its homogeneous counterpart. In particular, we show that sequences with inhomogeneous Poissonian pair…

数论 · 数学 2025-06-18 Manuel Hauke , Agamemnon Zafeiropoulos

A correlation is a binary vector that encodes all possible positions of overlaps of two words, where an overlap for an ordered pair of words (u,v) occurs if a suffix of word u matches a prefix of word v. As multiple pairs can have the same…

离散数学 · 计算机科学 2025-06-03 Eric Rivals , Pengfei Wang

Given two sequences over a finite alphabet $\mathcal{L}$, the $D_2$ statistic is the number of $m$-letter word matches between the two sequences. This statistic is used in bioinformatics for expressed sequence tag database searches. Here we…

概率论 · 数学 2009-09-29 Conrad J. Burden , Miriam R. Kantorovitz , Susan R. Wilson

The rapid development of such natural language processing tasks as style transfer, paraphrase, and machine translation often calls for the use of semantic similarity metrics. In recent years a lot of methods to measure the semantic…

计算与语言 · 计算机科学 2022-11-15 Ivan P. Yamshchikov , Viacheslav Shibaev , Nikolay Khlebnikov , Alexey Tikhonov

Calculating the semantic similarity between sentences is a long dealt problem in the area of natural language processing. The semantic analysis field has a crucial role to play in the research related to the text analytics. The semantic…

计算与语言 · 计算机科学 2018-02-22 Atish Pawar , Vijay Mago

Similarity is a core notion that is used in psychology and two branches of linguistics: theoretical and computational. The similarity datasets that come from the two fields differ in design: psychological datasets are focused around a…

计算与语言 · 计算机科学 2016-06-20 Dmitrijs Milajevs , Sascha Griffiths

Motivated by a problem in population genetics, we examine the combinatorics of dissimilarity for pairs of random unordered draws of multiple objects, with replacement, from a collection of distinct objects. Consider two draws of size $K$…

组合数学 · 数学 2024-10-02 Zarif Ahsan , Xiran Liu , Noah A. Rosenberg

This paper presents a new approach for measuring semantic similarity/distance between words and concepts. It combines a lexical taxonomy structure with corpus statistical information so that the semantic distance between nodes in the…

cmp-lg · 计算机科学 2008-02-03 Jay J. Jiang , David W. Conrath
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