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The edit distance between two rooted ordered trees with $n$ nodes labeled from an alphabet~$\Sigma$ is the minimum cost of transforming one tree into the other by a sequence of elementary operations consisting of deleting and relabeling…

Data Structures and Algorithms · Computer Science 2017-03-28 Karl Bringmann , Paweł Gawrychowski , Shay Mozes , Oren Weimann

Previous research on word embeddings has shown that sparse representations, which can be either learned on top of existing dense embeddings or obtained through model constraints during training time, have the benefit of increased…

Computation and Language · Computer Science 2018-09-26 Valentin Trifonov , Octavian-Eugen Ganea , Anna Potapenko , Thomas Hofmann

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

Pattern matching of streaming time series with lower latency under limited computing resource comes to a critical problem, especially as the growth of Industry 4.0 and Industry Internet of Things. However, against traditional single pattern…

Computer Vision and Pattern Recognition · Computer Science 2017-12-05 Rong Kang , Chen Wang , Peng Wang , Yuting Ding , Jianmin Wang

While the celebrated Word2Vec technique yields semantically rich representations for individual words, there has been relatively less success in extending to generate unsupervised sentences or documents embeddings. Recent work has…

Computation and Language · Computer Science 2018-11-06 Lingfei Wu , Ian E. H. Yen , Kun Xu , Fangli Xu , Avinash Balakrishnan , Pin-Yu Chen , Pradeep Ravikumar , Michael J. Witbrock

Due to their capacity to encode rich structural information, labeled graphs are often used for modeling various kinds of objects such as images, molecules, and chemical compounds. If pattern recognition problems such as clustering and…

Data Structures and Algorithms · Computer Science 2019-08-02 David B. Blumenthal

String kernels are attractive data analysis tools for analyzing string data. Among them, alignment kernels are known for their high prediction accuracies in string classifications when tested in combination with SVM in various applications.…

Machine Learning · Computer Science 2019-11-15 Yasuo Tabei , Yoshihiro Yamanishi , Rasmus Pagh

The Electronic Product Code (EPC) Network is an important part of the Internet of Things. The Physical Mark-Up Language (PML) is to represent and de-scribe data related to objects in EPC Network. The PML documents of each component to…

Databases · Computer Science 2013-09-16 Zhong-qin Wang , Ning Ye , Malekian Reza , Ting-ting Zhao , Ru-chuan Wang

Graph edit distance (GED) is an important similarity measure adopted in a similarity-based analysis between two graphs, and computing GED is a primitive operator in graph database analysis. Partially due to the NP-hardness, the existing…

Databases · Computer Science 2017-10-03 Lijun Chang , Xing Feng , Xuemin Lin , Lu Qin , Wenjie Zhang

Tracking and approximating data matrices in streaming fashion is a fundamental challenge. The problem requires more care and attention when data comes from multiple distributed sites, each receiving a stream of data. This paper considers…

Databases · Computer Science 2014-05-01 Mina Ghashami , Jeff M. Phillips , Feifei Li

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

Recent state-of-the-art natural language understanding models, such as BERT and XLNet, score a pair of sentences (A and B) using multiple cross-attention operations - a process in which each word in sentence A attends to all words in…

Machine Learning · Computer Science 2019-11-22 Oren Barkan , Noam Razin , Itzik Malkiel , Ori Katz , Avi Caciularu , Noam Koenigstein

We present novel randomized approximation schemes for the Edit Distance (ED) problem and the Longest Common Subsequence (LCS) problem that, for any constant $\epsilon>0$, compute a $(1+\epsilon)$-approximation for ED and a…

Data Structures and Algorithms · Computer Science 2026-04-01 Xiao Mao , Aviad Rubinstein

Given two strings of length $n$ over alphabet $\Sigma$, and an upper bound $k$ on their edit distance, the algorithm of Myers (Algorithmica'86) and Landau and Vishkin (JCSS'88) computes the unweighted string edit distance in…

Data Structures and Algorithms · Computer Science 2023-02-09 Debarati Das , Jacob Gilbert , MohammadTaghi Hajiaghayi , Tomasz Kociumaka , Barna Saha

The Earth movers distance (EMD) is a measure of distance between probability distributions which is at the heart of mass transportation theory. Recent research has shown that the EMD plays a crucial role in studying the potential impact of…

Computation · Statistics 2013-10-15 Kyle Treleaven , Emilio Frazzoli

Fitting distances to tree metrics and ultrametrics are two widely used methods in hierarchical clustering, primarily explored within the context of numerical taxonomy. Given a positive distance function…

Data Structures and Algorithms · Computer Science 2025-04-25 Amir Carmel , Debarati Das , Evangelos Kipouridis , Evangelos Pipis

Sparse coding (Sc) has been studied very well as a powerful data representation method. It attempts to represent the feature vector of a data sample by reconstructing it as the sparse linear combination of some basic elements, and a $L_2$…

Machine Learning · Computer Science 2016-03-15 Mohua Zhang , Jianhua Peng , Xuejie Liu , Jim Jing-Yan Wang

Recent feature matching methods have achieved remarkable performance but lack efficiency consideration. In this paper, we revisit the mainstream detector-free matching pipeline and improve all its stages considering both accuracy and…

Computer Vision and Pattern Recognition · Computer Science 2025-12-11 Xi Li , Tong Rao , Cihui Pan

Assessing the extent of human edits on texts generated by Large Language Models (LLMs) is crucial to understanding the human-AI interactions and improving the quality of automated text generation systems. Existing edit distance metrics,…

Computation and Language · Computer Science 2024-12-24 Nicolas Devatine , Louis Abraham

This paper introduces the Strain Elevation Tension Spring embedding (SETSe) algorithm, a graph embedding method that uses a physics model to create node and edge embeddings in undirected attribute networks. Using a low-dimensional…

Social and Information Networks · Computer Science 2020-07-21 Jonathan Bourne