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Political scientists often find themselves tracking amendments to political texts. As different actors weigh in, texts change as they are drafted and redrafted, reflecting political preferences and power. This study provides a novel…

Computation and Language · Computer Science 2016-08-24 Henrik Hermansson , James P. Cross

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

Pairwise sequence comparison is one of the most fundamental problems in string processing. The most common metric to quantify the similarity between sequences S and T is edit distance, d(S,T), which corresponds to the number of characters…

Data Structures and Algorithms · Computer Science 2024-07-04 Ahmet Cemal Alıcıoğlu , Can Alkan

The edit distance (ED) and longest common subsequence (LCS) are two fundamental problems which quantify how similar two strings are to one another. In this paper, we consider these problems in the asymmetric streaming model introduced by…

Data Structures and Algorithms · Computer Science 2020-04-17 Alireza Farhadi , MohammadTaghi Hajiaghayi , Aviad Rubinstein , Saeed Seddighin

Edit Distance is a classic family of dynamic programming problems, among which Time Warp Edit Distance refines the problem with the notion of a metric and temporal elasticity. A novel Improved Time Warp Edit Distance algorithm that is both…

Computational Geometry · Computer Science 2020-08-03 Garrett Wright

Large language models (LLMs) acquire knowledge during pre-training, but over time, this knowledge may become incorrect or outdated, necessitating updates after training. Knowledge editing techniques address this issue without the need for…

Computation and Language · Computer Science 2024-10-16 Yuchen Cai , Ding Cao

An exponent-string is an extension of traditional strings that can incorporate real-numbered exponents, indicating the quantity of characters. This novel representation overcomes the limitations of traditional discrete string by enabling…

Formal Languages and Automata Theory · Computer Science 2024-08-26 Ingyu Baek

This paper revisits recent code similarity evaluation metrics, particularly focusing on the application of Abstract Syntax Tree (AST) editing distance in diverse programming languages. In particular, we explore the usefulness of these…

Computation and Language · Computer Science 2025-06-06 Yewei Song , Cedric Lothritz , Daniel Tang , Tegawendé F. Bissyandé , Jacques Klein

In this paper, we develop deterministic fully dynamic algorithms for computing approximate distances in a graph with worst-case update time guarantees. In particular, we obtain improved dynamic algorithms that, given an unweighted and…

Data Structures and Algorithms · Computer Science 2022-09-09 Jan van den Brand , Sebastian Forster , Yasamin Nazari

The problem of computing the edit-distance between a string and a finite automaton arises in a variety of applications in computational biology, text processing, and speech recognition. This paper presents linear-space algorithms for…

Formal Languages and Automata Theory · Computer Science 2009-04-30 Cyril Allauzen , Mehryar Mohri

Edit distance between trees is a natural generalization of the classical edit distance between strings, in which the allowed elementary operations are contraction, uncontraction and relabeling of an edge. Demaine et al. [ACM Trans. on…

Data Structures and Algorithms · Computer Science 2018-04-27 Bartłomiej Dudek , Paweł Gawrychowski

Tree edit distance is a well-studied measure of dissimilarity between rooted trees with node labels. It can be computed in $O(n^3)$ time [Demaine, Mozes, Rossman, and Weimann, ICALP 2007], and fine-grained hardness results suggest that the…

Data Structures and Algorithms · Computer Science 2021-06-11 Shyan Akmal , Ce Jin

In this paper we study the fundamental problem of maintaining a dynamic collection of strings under the following operations: concat - concatenates two strings, split - splits a string into two at a given position, compare - finds the…

Data Structures and Algorithms · Computer Science 2016-04-11 Paweł Gawrychowski , Adam Karczmarz , Tomasz Kociumaka , Jakub Łącki , Piotr Sankowski

An edit distance is a measure of the minimum cost sequence of edit operations to transform one structure into another. Edit distance is most commonly encountered within the context of strings, where Wagner and Fischer's string edit distance…

Discrete Mathematics · Computer Science 2020-05-21 Vincent A. Cicirello

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

The {\em edit distance} between two ordered trees with vertex labels is the minimum cost of transforming one tree into the other by a sequence of elementary operations consisting of deleting and relabeling existing nodes, as well as…

Data Structures and Algorithms · Computer Science 2010-12-01 Erik D. Demaine , Shay Mozes , Benjamin Rossman , Oren Weimann

Almost 30 years ago, Zhang and Shasha (1989) published a seminal paper describing an efficient dynamic programming algorithm computing the tree edit distance, that is, the minimum number of node deletions, insertions, and replacements that…

Data Structures and Algorithms · Computer Science 2022-09-15 Benjamin Paaßen

Approximating the length of the longest increasing sequence (LIS) of an array is a well-studied problem. We study this problem in the data stream model, where the algorithm is allowed to make a single left-to-right pass through the array…

Data Structures and Algorithms · Computer Science 2013-04-16 Michael Saks , C. Seshadhri

Edit-distance-based string similarity search has many applications such as spell correction, data de-duplication, and sequence alignment. However, computing edit distance is known to have high complexity, which makes string similarity…

Databases · Computer Science 2020-05-25 Xinyan Dai , Xiao Yan , Kaiwen Zhou , Yuxuan Wang , Han Yang , James Cheng

We revisit the problem of computing the edit distance of a regular language given via an NFA. This problem relates to the inherent maximal error-detecting capability of the language in question. We present an efficient algorithm for solving…

Formal Languages and Automata Theory · Computer Science 2014-06-05 Lila Kari , Stavros Konstantinidis , Steffen Kopecki , Meng Yang
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