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Edit distance with moves (EDM) is a string-to-string distance measure that includes substring moves in addition to ordinal editing operations to turn one string to the other. Although optimizing EDM is intractable, it has many applications…

Data Structures and Algorithms · Computer Science 2014-08-27 Yoshimasa Takabatake , Yasuo Tabei , Hiroshi Sakamoto

CONTEXT. Attack treesare a recommended threat modeling tool, but there is no established method to compare them. OBJECTIVE. We aim to establish a method to compare "real" attack trees, based on both the structure of the tree itself and the…

Cryptography and Security · Computer Science 2025-03-05 Nathan D. Schiele , Olga Gadyatskaya

Text-based speech editing aims to modify specific segments while preserving speaker identity and acoustic context. Existing methods rely on task-specific training, which incurs high data costs and struggles with temporal fidelity in…

Sound · Computer Science 2026-04-20 Sihan Lv , Yechen Jin , Zhen Li , Jintao Chen , Jinshan Zhang , Ying Li , Jianwei Yin , Meng Xi

Edit distance similarity search, also called approximate pattern matching, is a fundamental problem with widespread database applications. The goal of the problem is to preprocess $n$ strings of length $d$, to quickly answer queries $q$ of…

Data Structures and Algorithms · Computer Science 2020-07-10 Samuel McCauley

Performance analysis has always been an afterthought during the application development process, focusing on application correctness first. The learning curve of the existing static and dynamic analysis tools are steep, which requires…

Machine Learning · Computer Science 2021-04-23 Nathan Pinnow , Tarek Ramadan , Tanzima Z. Islam , Chase Phelps , Jayaraman J. Thiagarajan

The tutorial describes the concept of edit distances applied to research and commercial contexts. We use Translation Edit Rate (TER), Levenshtein, Damerau-Levenshtein, Longest Common Subsequence and $n$-gram distances to demonstrate the…

Computation and Language · Computer Science 2024-10-10 Félix do Carmo , Diptesh Kanojia

The graph edit distance (GED) is a well-established distance measure widely used in many applications. However, existing methods for the GED computation suffer from several drawbacks including oversized search space, huge memory…

Data Structures and Algorithms · Computer Science 2017-10-02 Xiaoyang Chen , Hongwei Huo , Jun Huan , Jeffrey Scott Vitter

The problem of approximate string matching is important in many different areas such as computational biology, text processing and pattern recognition. A great effort has been made to design efficient algorithms addressing several variants…

Data Structures and Algorithms · Computer Science 2008-07-29 Dimitris Papamichail , Georgios Papamichail

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…

Data Structures and Algorithms · Computer Science 2020-11-17 Panagiotis Charalampopoulos , Tomasz Kociumaka , Philip Wellnitz

Edit distance is an important measure of string similarity. It counts the number of insertions, deletions and substitutions one has to make to a string $x$ to get a string $y$. In this paper we design an almost linear-size sketching scheme…

Data Structures and Algorithms · Computer Science 2024-06-18 Michal Koucký , Michael Saks

An important problem in geometric computing is defining and computing similarity between two geometric shapes, e.g. point sets, curves and surfaces, etc. Important geometric and topological information of many shapes can be captured by…

Computational Geometry · Computer Science 2015-08-17 Hangjun Xu

In this work we define a metric structure to compare functions defined on different merge trees. The metric introduced possesses some stability properties, which we illustrate within a standard topological data analysis (TDA) framework, and…

Combinatorics · Mathematics 2025-07-25 Matteo Pegoraro

Computing the edit distance of two strings is one of the most basic problems in computer science and combinatorial optimization. Tree edit distance is a natural generalization of edit distance in which the task is to compute a measure of…

Data Structures and Algorithms · Computer Science 2022-09-16 Debarati Das , Jacob Gilbert , MohammadTaghi Hajiaghayi , Tomasz Kociumaka , Barna Saha , Hamed Saleh

Node similarity is a fundamental problem in graph analytics. However, node similarity between nodes in different graphs (inter-graph nodes) has not received a lot of attention yet. The inter-graph node similarity is important in learning a…

Databases · Computer Science 2016-02-17 Haohan Zhu , Xianrui Meng , George Kollios

Many tasks revolve around editing a document, whether code or text. We formulate the revision similarity problem to unify a wide range of machine learning evaluation problems whose goal is to assess a revision to an existing document. We…

Machine Learning · Computer Science 2025-12-16 Nikolai Gruzinov , Ksenia Sycheva , Earl T. Barr , Alex Bezzubov

In this article, we propose tree edit distance with variables, which is an extension of the tree edit distance to handle trees with variables and has a potential application to measuring the similarity between mathematical formulas,…

Data Structures and Algorithms · Computer Science 2021-05-12 Tatsuya Akutsu , Tomoya Mori , Naotoshi Nakamura , Satoshi Kozawa , Yuhei Ueno , Thomas N. Sato

In graph theory, a tree is one of the more popular families of graphs with a wide range of applications in computer science as well as many other related fields. While there are several distance measures over the set of all trees, we…

Information Theory · Computer Science 2021-02-04 Lev Yohananov , Eitan yaakobi

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

In this article, we explore the potential of using sentence-level discourse structure for machine translation evaluation. We first design discourse-aware similarity measures, which use all-subtree kernels to compare discourse parse trees in…

Computation and Language · Computer Science 2017-10-05 Shafiq Joty , Francisco Guzmán , Lluís Màrquez , Preslav Nakov

Graph Edit Distance (GED) is a popular similarity measurement for pairwise graphs and it also refers to the recovery of the edit path from the source graph to the target graph. Traditional A* algorithm suffers scalability issues due to its…

Machine Learning · Computer Science 2020-12-03 Runzhong Wang , Tianqi Zhang , Tianshu Yu , Junchi Yan , Xiaokang Yang