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Gathering relevant information to predict student academic progress is a tedious task. Due to the large amount of irrelevant data present in databases which provides inaccurate results. Currently, it is not possible to accurately measure…

Machine Learning · Computer Science 2021-09-02 Ali Jaber Almalki

Graph edit distance / similarity is widely used in many tasks, such as graph similarity search, binary function analysis, and graph clustering. However, computing the exact graph edit distance (GED) or maximum common subgraph (MCS) between…

Databases · Computer Science 2020-07-01 Haibo Xiu , Xiao Yan , Xiaoqiang Wang , James Cheng , Lei Cao

Given a text and a pattern over an alphabet, the pattern matching problem searches for all occurrences of the pattern in the text. An equivalence relation $\approx$ is called a substring consistent equivalence relation (SCER), if for two…

Data Structures and Algorithms · Computer Science 2022-07-28 Davaajav Jargalsaikhan , Diptarama Hendrian , Ryo Yoshinaka , Ayumi Shinohara

Measuring similarities between strings is central for many established and fast growing research areas including information retrieval, biology, and natural language processing. The traditional approach for string similarity measurements is…

Information Retrieval · Computer Science 2018-08-20 Mehdi Ben Lazreg , Morten Goodwin

The Earth Mover's Distance is a popular similarity measure in several branches of computer science. It measures the minimum total edge length of a perfect matching between two point sets. The Earth Mover's Distance under Translation…

Computational Geometry · Computer Science 2025-11-18 Karl Bringmann , Frank Staals , Karol Węgrzycki , Geert van Wordragen

Distributed stochastic optimization algorithms can simultaneously process large-scale datasets, significantly accelerating model training. However, their effectiveness is often hindered by the sparsity of distributed networks and data…

Machine Learning · Computer Science 2025-02-14 Yuchen Hu , Xi Chen , Weidong Liu , Xiaojun Mao

An elastic-degenerate (ED) string $T$ is a sequence of $n$ sets $T[1],\ldots,T[n]$ containing $m$ strings in total whose cumulative length is $N$. We call $n$, $m$, and $N$ the length, the cardinality and the size of $T$, respectively. The…

Data Structures and Algorithms · Computer Science 2024-11-13 Esteban Gabory , Moses Njagi Mwaniki , Nadia Pisanti , Solon P. Pissis , Jakub Radoszewski , Michelle Sweering , Wiktor Zuba

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

Neural language models are probabilistic models of human text. They are predominantly trained using maximum likelihood estimation (MLE), which is equivalent to minimizing the forward cross-entropy between the empirical data distribution and…

Computation and Language · Computer Science 2024-02-07 Siyu Ren , Zhiyong Wu , Kenny Q. Zhu

The edit distance $ed(X,Y)$ of two strings $X,Y\in \Sigma^*$ is the minimum number of character edits (insertions, deletions, and substitutions) needed to transform $X$ into $Y$. Its weighted counterpart $ed^w(X,Y)$ minimizes the total cost…

Data Structures and Algorithms · Computer Science 2025-07-04 Itai Boneh , Egor Gorbachev , Tomasz Kociumaka

Suppose that we have two parties that possess each a binary string. Suppose that the length of the first string (document) is $n$ and that the two strings (documents) have edit distance (minimal number of deletes, inserts and substitutions…

Data Structures and Algorithms · Computer Science 2015-12-04 Djamal Belazzougui

An ordered labeled tree is a tree in which the nodes are labeled and the left-to-right order among siblings is relevant. The edit distance between two ordered labeled trees is the minimum cost of changing one tree into the other through a…

Data Structures and Algorithms · Computer Science 2015-02-10 Shihyen Chen

Topological structures such as the merge tree provide an abstract and succinct representation of scalar fields. They facilitate effective visualization and interactive exploration of feature-rich data. A merge tree captures the topology of…

Computational Geometry · Computer Science 2024-06-06 Raghavendra Sridharamurthy , Talha Bin Masood , Adhitya Kamakshidasan , Vijay Natarajan

Despite significant strides in statement autoformalization, a critical gap remains in the development of automated evaluation metrics capable of assessing formal translation quality. Existing metrics often fail to balance semantic and…

Machine Learning · Computer Science 2026-02-10 Xiaoyang Liu , Tao Zhu , Zineng Dong , Yuntian Liu , Qingfeng Guo , Zhaoxuan Liu , Yu Chen , Tao Luo

Compressive sensing (CS) has attracted significant attention in parameter estimation tasks, where parametric dictionaries (PDs) collect signal observations for a sampling of the parameter space and yield sparse representations for signals…

Information Theory · Computer Science 2017-07-07 Dian Mo , Marco F. Duarte

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

In this work we define a novel edit distance for trees considered with some abstract weights on the edges. The metric is driven by the idea of considering trees as topological summaries in the context of persistence and topological data…

Combinatorics · Mathematics 2025-07-25 Matteo Pegoraro

Distance-based unsupervised text classification is a method within text classification that leverages the semantic similarity between a label and a text to determine label relevance. This method provides numerous benefits, including fast…

Computation and Language · Computer Science 2025-10-14 Jens Van Nooten , Andriy Kosar , Guy De Pauw , Walter Daelemans

Empirical Dynamic Modeling (EDM) is a state-of-the-art non-linear time-series analysis framework. Despite its wide applicability, EDM was not scalable to large datasets due to its expensive computational cost. To overcome this obstacle,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-27 Keichi Takahashi , Wassapon Watanakeesuntorn , Kohei Ichikawa , Joseph Park , Ryousei Takano , Jason Haga , George Sugihara , Gerald M. Pao

Event Extraction (EE) is one of the essential tasks in information extraction, which aims to detect event mentions from text and find the corresponding argument roles. The EE task can be abstracted as a process of matching the semantic…

Computation and Language · Computer Science 2023-06-07 Haochen Li , Tianhao Gao , Jingkun Wang , Weiping Li