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The Earth Mover's Distance (EMD) is a state-of-the art metric for comparing discrete probability distributions, but its high distinguishability comes at a high cost in computational complexity. Even though linear-complexity approximation…

Machine Learning · Computer Science 2019-05-29 Kubilay Atasu , Thomas Mittelholzer

Numerous research topics rely on an improved cosmic distance scale (e.g., cosmology, gravitational waves), and the NASA/IPAC Extragalactic Database of Distances (NED-D) supports those efforts by tabulating multiple redshift-independent…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-14 Ian Steer

It has been argued by Shepard that there is a robust psychological law that relates the distance between a pair of items in psychological space and the probability that they will be confused with each other. Specifically, the probability of…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Nick Chater , Paul Vitanyi

Statement autoformalization, the automated translation of statements from natural language into formal languages, has become a subject of extensive research, yet the development of robust automated evaluation metrics remains limited.…

Machine Learning · Computer Science 2025-08-25 Yuntian Liu , Tao Zhu , Xiaoyang Liu , Yu Chen , Zhaoxuan Liu , Qingfeng Guo , Jiashuo Zhang , Kangjie Bao , Tao Luo

Many applications in pattern recognition represent patterns as a geometric graph. The geometric graph distance (GGD) has recently been studied as a meaningful measure of similarity between two geometric graphs. Since computing the GGD is…

Computational Geometry · Computer Science 2023-06-12 Sushovan Majhi

The amount of unstructured text-based data is growing every day. Querying, clustering, and classifying this big data requires similarity computations across large sets of documents. Whereas low-complexity similarity metrics are available,…

Query term matching with document term matching is the basic function of any best effort Information Retrieval models like Vector Space Model. In our problem of SMS based Information Systems we expect common people to participate in…

Information Retrieval · Computer Science 2019-10-17 Varsha Pathak , Manish Joshi

Entity-linking is a natural-language-processing task that consists in identifying the entities mentioned in a piece of text, linking each to an appropriate item in some knowledge base; when the knowledge base is Wikipedia, the problem comes…

Data Structures and Algorithms · Computer Science 2014-07-31 Roi Blanco , Paolo Boldi , Andrea Marino

Despite the increasing popularity of NLP in the humanities and social sciences, advances in model performance and complexity have been accompanied by concerns about interpretability and explanatory power for sociocultural analysis. One…

Computation and Language · Computer Science 2021-10-15 Mikael Brunila , Jack LaViolette

Evaluation plays a significant role in modern natural language processing. Most modern NLP benchmarks consist of arbitrary sets of tasks that neither guarantee any generalization potential for the model once applied outside the test set nor…

Computation and Language · Computer Science 2024-02-27 Maxim K. Surkov , Ivan P. Yamshchikov

The domain-independent universal Normalized Information Distance based on Kolmogorov complexity has been (in approximate form) successfully applied to a variety of difficult clustering problems. In this paper we investigate theoretical…

Information Theory · Computer Science 2025-07-30 Marcus Hutter

Phylogenetic trees can be reconstructed from the matrix which contains the distances between all pairs of languages in a family. Recently, we proposed a new method which uses normalized Levenshtein distances among words with same meaning…

Computation and Language · Computer Science 2015-05-14 Filippo Petroni , Maurizio Serva

The notion of task similarity is at the core of various machine learning paradigms, such as domain adaptation and meta-learning. Current methods to quantify it are often heuristic, make strong assumptions on the label sets across the tasks,…

Machine Learning · Computer Science 2020-02-10 David Alvarez-Melis , Nicolò Fusi

Optimization problem, which is aimed at finding the global minimal value of a given cost function, is one of the central problem in science and engineering. Various numerical methods have been proposed to solve this problem, among which the…

Optimization and Control · Mathematics 2022-10-07 Shaojun Dong , Fengyu Le , Meng Zhang , Si-Jing Tao , Chao Wang , Yong-Jian Han , Guo-Ping Guo

Dictionary lookup methods are popular in dealing with ambiguous letters which were not recognized by Optical Character Readers. However, a robust dictionary lookup method can be complex as apriori probability calculation or a large…

Information Theory · Computer Science 2011-01-07 Rishin Haldar , Debajyoti Mukhopadhyay

Graph edit distance (GED) is a powerful and flexible graph matching paradigm that can be used to address different tasks in structural pattern recognition, machine learning, and data mining. In this paper, some new binary linear programming…

Data Structures and Algorithms · Computer Science 2015-05-22 Julien Lerouge , Zeina Abu-Aisheh , Romain Raveaux , Pierre Héroux , Sébastien Adam

Hypernetwork is a useful way to depict multiple connections between nodes, making it an ideal tool for representing complex relationships in network science. In recent years, there has been a marked increase in studies on hypernetworks,…

Physics and Society · Physics 2023-08-10 Tao Xu , Xiaowen Xie , Zi-Ke Zhang , Chuang Liu , Xiu-Xiu Zhan

Named Entity Disambiguation (NED) refers to the task of resolving multiple named entity mentions in a document to their correct references in a knowledge base (KB) (e.g., Wikipedia). In this paper, we propose a novel embedding method…

Computation and Language · Computer Science 2016-06-13 Ikuya Yamada , Hiroyuki Shindo , Hideaki Takeda , Yoshiyasu Takefuji

The emergence of geometric deep learning as a novel framework to deal with graph-based representations has faded away traditional approaches in favor of completely new methodologies. In this paper, we propose a new framework able to combine…

Computer Vision and Pattern Recognition · Computer Science 2020-08-19 Pau Riba , Andreas Fischer , Josep Lladós , Alicia Fornés

This paper presents a method to apply Natural Language Processing for normalizing numeronyms to make them understandable by humans. We approach the problem through a two-step mechanism. We make use of the state of the art Levenshtein…

Computation and Language · Computer Science 2019-11-13 Avishek Garain , Sainik Kumar Mahata , Subhabrata Dutta