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We report (to our knowledge) the first evaluation of Constraint Satisfaction as a computational framework for solving closest string problems. We show that careful consideration of symbol occurrences can provide search heuristics that…

Artificial Intelligence · Computer Science 2010-05-04 Tom Kelsey , Lars Kotthoff

We revisit the task of computing the edit distance in sublinear time. In the $(k,K)$-gap edit distance problem the task is to distinguish whether the edit distance of two strings is at most $k$ or at least $K$. It has been established by…

Data Structures and Algorithms · Computer Science 2023-03-17 Karl Bringmann , Alejandro Cassis , Nick Fischer , Vasileios Nakos

Existing conversational search systems can synthesize information into responses, but they lack principled ways to adapt response formats to users' cognitive states. This paper investigates whether aligning format and distance, which…

Human-Computer Interaction · Computer Science 2026-01-21 Yitian Yang , Yugin Tan , Jung-Tai King , Yang Chen Lin , Yi-Chieh Lee

Graph Edit Distance (GED) is defined as the minimum cost transformation of one graph into another and is a widely adopted metric for measuring the dissimilarity between graphs. The major problem of GED is that its computation is NP-hard,…

Machine Learning · Computer Science 2026-02-24 Francesco Leonardi , Markus Orsi , Jean-Louis Reymond , Kaspar Riesen

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

This research project aimed to overcome the challenge of analysing human language relationships, facilitate the grouping of languages and formation of genealogical relationship between them by developing automated comparison techniques.…

Computation and Language · Computer Science 2020-02-03 Gabija Mikulyte , David Gilbert

This paper addresses the online exact string matching problem which consists in finding all occurrences of a given pattern p in a text t. It is an extensively studied problem in computer science, mainly due to its direct applications to…

Data Structures and Algorithms · Computer Science 2010-12-14 Simone Faro , Thierry Lecroq

Performance estimation under covariate shift is a crucial component of safe AI model deployment, especially for sensitive use-cases. Recently, several solutions were proposed to tackle this problem, most leveraging model predictions or…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Mélanie Roschewitz , Ben Glocker

Sequence classification algorithms, such as SVM, require a definition of distance (similarity) measure between two sequences. A commonly used notion of similarity is the number of matches between $k$-mers ($k$-length subsequences) in the…

Data Structures and Algorithms · Computer Science 2017-12-13 Muhammad Farhan , Juvaria Tariq , Arif Zaman , Mudassir Shabbir , Imdad Ullah Khan

The problem of similarity search is one of the main problems in computer science. This problem has many applications in text-retrieval, web search, computational biology, bioinformatics and others. Similarity between two data objects can be…

Neural and Evolutionary Computing · Computer Science 2013-12-06 Muhammad Marwan Muhammad Fuad

In the usual trace reconstruction problem, the goal is to exactly reconstruct an unknown string of length $n$ after it passes through a deletion channel many times independently, producing a set of traces (i.e., random subsequences of the…

Data Structures and Algorithms · Computer Science 2020-12-17 Sami Davies , Miklos Z. Racz , Cyrus Rashtchian , Benjamin G. Schiffer

Conformance checking encompasses a body of process mining techniques which aim to find and describe the differences between a process model capturing the expected process behavior and a corresponding event log recording the observed…

Software Engineering · Computer Science 2022-03-29 Daniel Reißner , Abel Armas-Cervantes , Marcello La Rosa

In this paper, we design new sublinear-time algorithms for solving the gap edit distance problem and for embedding edit distance to Hamming distance. For the gap edit distance problem, we give an $\tilde{O}(\frac{n}{k}+k^2)$-time greedy…

Data Structures and Algorithms · Computer Science 2020-11-17 Tomasz Kociumaka , Barna Saha

Graph Edit Distance (GED) is a general and domain-agnostic metric to measure graph similarity, widely used in graph search or retrieving tasks. However, the exact GED computation is known to be NP-complete. For instance, the widely used A*…

Machine Learning · Computer Science 2023-11-07 Junfeng Liu , Min Zhou , Shuai Ma , Lujia Pan

Given two sets of points A and B, $|A| = m$, $|B| = n$, the Chamfer distance from $A$ to $B$ is defined as $\operatorname{CD}(A,B) = \sum_{a\in A} \min_{b\in B} d(a,b)$, where $d$ is a distance metric. Chamfer distance is a popular measure…

Data Structures and Algorithms · Computer Science 2026-05-26 Gil Halevi , Daniel Zhang , Jason Zhang

The main contribution of this dissertation is the introduction of new or improved approximation algorithms and data structures for several similarity search problems. We examine the furthest neighbor query, the annulus query, distance…

Data Structures and Algorithms · Computer Science 2019-06-13 Johan von Tangen Sivertsen

The graph edit distance (GED) measures the dissimilarity between two graphs as the minimal cost of a sequence of elementary operations transforming one graph into another. This measure is fundamental in many areas such as structural pattern…

Data Structures and Algorithms · Computer Science 2019-11-27 Nicolas Boria , David B. Blumenthal , Sébastien Bougleux , Luc Brun

Strings are a natural representation of biological data such as DNA, RNA and protein sequences. The problem of finding a string that summarizes a set of sequences has direct application in relative compression algorithms for genome and…

Data Structures and Algorithms · Computer Science 2019-12-06 P. Mirabal , J. Abreu , D. Seco

We present a novel corpus consisting of orthographically variant words found in works of 19th century U.S. literature annotated with their corresponding "standard" word pair. We train a set of neural edit distance models to pair these…

Computation and Language · Computer Science 2026-02-18 Craig Messner , Tom Lippincott

Classic similarity measures of strings are longest common subsequence and Levenshtein distance (i.e., the classic edit distance). A classic similarity measure of curves is dynamic time warping. These measures can be computed by simple…

Computational Complexity · Computer Science 2015-04-06 Karl Bringmann , Marvin Künnemann