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The edit distance is a way of quantifying how similar two strings are to one another by counting the minimum number of character insertions, deletions, and substitutions required to transform one string into the other. A simple dynamic…

Computational Complexity · Computer Science 2019-10-03 Elazar Goldenberg , Robert Krauthgamer , Barna Saha

Given a pair of strings, the problems of computing their Longest Common Subsequence and Edit Distance have been extensively studied for decades. For exact algorithms, LCS and Edit Distance (with character insertions and deletions) are…

Data Structures and Algorithms · Computer Science 2019-04-12 Aviad Rubinstein , Zhao Song

Given two strings $A[1..n]$ and $B[1..m]$, and a set of operations allowed to edit the strings, the edit distance between $A$ and $B$ is the minimum number of operations required to transform $A$ into $B$. Sequentially, a standard Dynamic…

Data Structures and Algorithms · Computer Science 2023-09-01 Xiangyun Ding , Xiaojun Dong , Yan Gu , Youzhe Liu , Yihan Sun

Neural text generation models are typically trained by maximizing log-likelihood with the sequence cross entropy (CE) loss, which encourages an exact token-by-token match between a target sequence with a generated sequence. Such training…

Computation and Language · Computer Science 2022-05-10 Guangyi Liu , Zichao Yang , Tianhua Tao , Xiaodan Liang , Junwei Bao , Zhen Li , Xiaodong He , Shuguang Cui , Zhiting Hu

Search behaviour is characterised using synonymy and polysemy as users often want to search information based on meaning. Semantic representation strategies represent a move towards richer associative connections that can adequately capture…

Information Retrieval · Computer Science 2026-02-06 Niall McCarroll , Kevin Curran , Eugene McNamee , Angela Clist , Andrew Brammer

Let $T=t_0 ... t_{n-1}$ be a text and $P = p_0 ... p_{m-1}$ a pattern taken from some finite alphabet set $\Sigma$, and let $\dist$ be a metric on $\Sigma$. We consider the problem of calculating the sum of distances between the symbols of…

Data Structures and Algorithms · Computer Science 2008-02-12 Klim Efremenko , Ely Porat

In this paper, we extend the notion of gapped strings to elastic-degenerate strings. An elastic-degenerate string can been seen as an ordered collection of k > 1 seeds (substrings/subpatterns) interleaved by elastic-degenerate symbols such…

Data Structures and Algorithms · Computer Science 2016-10-27 Costas Iliopoulos , Ritu Kundu , Solon Pissis

Semantic Textual Similarity (STS) is a crucial component of many Natural Language Processing (NLP) applications. However, existing approaches typically reduce semantic nuances to a single score, limiting interpretability. To address this,…

Computation and Language · Computer Science 2026-05-15 Diego Miguel Lozano , Daryna Dementieva , Alexander Fraser

Similarity matching and join of time series data streams has gained a lot of relevance in today's world that has large streaming data. This process finds wide scale application in the areas of location tracking, sensor networks, object…

Databases · Computer Science 2013-12-11 R H Vishwanath , T V Samartha , K C Srikantaiah , K R Venugopal , L M Patnaik

Sentence embeddings encode natural language sentences as low-dimensional dense vectors. A great deal of effort has been put into using sentence embeddings to improve several important natural language processing tasks. Relation extraction…

Computation and Language · Computer Science 2020-09-24 Alexander Kalinowski , Yuan An

We consider the approximate pattern matching problem under the edit distance. Given a text $T$ of length $n$, a pattern $P$ of length $m$, and a threshold $k$, the task is to find the starting positions of all substrings of $T$ that can be…

Data Structures and Algorithms · Computer Science 2022-04-08 Panagiotis Charalampopoulos , Tomasz Kociumaka , Philip Wellnitz

Sentence embeddings enable us to capture the semantic similarity of short texts. Most sentence embedding models are trained for general semantic textual similarity tasks. Therefore, to use sentence embeddings in a particular domain, the…

Computation and Language · Computer Science 2023-09-26 Tim Schopf , Dennis N. Schneider , Florian Matthes

Large Language Models (LLMs) power numerous AI applications, yet updating their knowledge remains costly. Model editing provides a lightweight alternative through targeted parameter modifications, with meta-learning-based model editing…

Computation and Language · Computer Science 2026-01-30 Xiaopeng Li , Shasha Li , Xi Wang , Shezheng Song , Bin Ji , Shangwen Wang , Jun Ma , Xiaodong Liu , Mina Liu , Jie Yu

The problem of finding \emph{distance} between \emph{pattern} of length $m$ and \emph{text} of length $n$ is a typical way of generalizing pattern matching to incorporate dissimilarity score. For both Hamming and $L_1$ distances only a…

Data Structures and Algorithms · Computer Science 2018-05-04 Przemysław Uznański

Performance degradation caused by language mismatch is a common problem when applying a speaker verification system on speech data in different languages. This paper proposes a domain transfer network, named EDITnet, to alleviate the…

Audio and Speech Processing · Electrical Eng. & Systems 2022-06-16 Jingyu Li , Wei Liu , Tan Lee

The Graph Edit Distance (GED) is an important metric for measuring the similarity between two (labeled) graphs. It is defined as the minimum cost required to convert one graph into another through a series of (elementary) edit operations.…

Databases · Computer Science 2025-11-05 Andrea D'Ascenzo , Julian Meffert , Petra Mutzel , Fabrizio Rossi

Network embedding aims to learn low-dimensional representations of nodes in a network, while the network structure and inherent properties are preserved. It has attracted tremendous attention recently due to significant progress in…

Social and Information Networks · Computer Science 2018-06-14 Jie Zhang , Yan Wang , Jie Tang , Ming Ding

In this paper we investigate the \emph{approximate string matching problem} when the allowed edit operations are \emph{non-overlapping unbalanced translocations of adjacent factors}. Such kind of edit operations take place when two adjacent…

Data Structures and Algorithms · Computer Science 2021-01-05 Domenico Cantone , Simone Faro , Arianna Pavone

We revisit a fundamental problem in string matching: given a pattern of length m and a text of length n, both over an alphabet of size $\sigma$, compute the Hamming distance between the pattern and the text at every location. Several…

Data Structures and Algorithms · Computer Science 2020-01-03 Timothy M. Chan , Shay Golan , Tomasz Kociumaka , Tsvi Kopelowitz , Ely Porat

A robust evaluation metric has a profound impact on the development of text generation systems. A desirable metric compares system output against references based on their semantics rather than surface forms. In this paper we investigate…

Computation and Language · Computer Science 2019-09-27 Wei Zhao , Maxime Peyrard , Fei Liu , Yang Gao , Christian M. Meyer , Steffen Eger
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