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We present an unsupervised approach for discovering semantic representations of mathematical equations. Equations are challenging to analyze because each is unique, or nearly unique. Our method, which we call equation embeddings, finds good…

Machine Learning · Statistics 2018-03-28 Kriste Krstovski , David M. Blei

The use of approximation is fundamental in computational science. Almost all computational methods adopt approximations in some form in order to obtain a favourable cost/accuracy trade-off and there are usually many approximations that…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-14 Michael A. Johnston , Vassilis Vassiliadis

We present the parametric method SemSimp aimed at measuring semantic similarity of digital resources. SemSimp is based on the notion of information content, and it leverages a reference ontology and taxonomic reasoning, encompassing…

Artificial Intelligence · Computer Science 2023-02-09 Antonio De Nicola , Anna Formica , Michele Missikoff , Elaheh Pourabbas , Francesco Taglino

We describe an approximate rational arithmetic with round-off errors (both absolute and relative) controlled by the user. The rounding procedure is based on the continued fraction expansion of real numbers. Results of computer experiments…

Numerical Analysis · Mathematics 2025-10-20 Grigori Litvinov , Anatoli Rodionov , Andrei Chourkin

In natural language, words and phrases themselves imply the semantics. In contrast, the meaning of identifiers in mathematical formulae is undefined. Thus scientists must study the context to decode the meaning. The Mathematical Language…

Digital Libraries · Computer Science 2019-07-02 Robert Pagael , Moritz Schubotz

As the amount of data on the World Wide Web continues to grow exponentially, access to semantically structured information remains limited. The Semantic Web has emerged as a solution to enhance the machine-readability of data, making it…

Digital Libraries · Computer Science 2023-06-21 Muhammad Zohaib

This article presents a novel approach to estimate semantic entity similarity using entity features available as Linked Data. The key idea is to exploit ranked lists of features, extracted from Linked Data sources, as a representation of…

This paper presents a new approach for measuring semantic similarity/distance between words and concepts. It combines a lexical taxonomy structure with corpus statistical information so that the semantic distance between nodes in the…

cmp-lg · Computer Science 2008-02-03 Jay J. Jiang , David W. Conrath

Since the amount of information on the internet is growing rapidly, it is not easy for a user to find relevant information for his/her query. To tackle this issue, much attention has been paid to Automatic Document Summarization. The key…

Computation and Language · Computer Science 2019-02-05 Kamal Al-Sabahi , Zhang Zuping , Yang Kang

We introduce and study several notions of approximation for ontology-mediated queries based on the description logics ALC and ALCI. Our approximations are of two kinds: we may (1) replace the ontology with one formulated in a tractable…

Artificial Intelligence · Computer Science 2022-07-01 Anneke Haga , Carsten Lutz , Leif Sabellek , Frank Wolter

Solving mathematical word problems (MWPs) automatically is challenging, primarily due to the semantic gap between human-readable words and machine-understandable logics. Despite the long history dated back to the1960s, MWPs have regained…

Computation and Language · Computer Science 2019-04-30 Dongxiang Zhang , Lei Wang , Luming Zhang , Bing Tian Dai , Heng Tao Shen

We describe a new method for summarizing similarities and differences in a pair of related documents using a graph representation for text. Concepts denoted by words, phrases, and proper names in the document are represented positionally as…

cmp-lg · Computer Science 2007-05-23 Inderjeet Mani , Eric Bloedorn

Traditional fact checking by expert journalists cannot keep up with the enormous volume of information that is now generated online. Computational fact checking may significantly enhance our ability to evaluate the veracity of dubious…

Computers and Society · Computer Science 2020-07-01 Giovanni Luca Ciampaglia , Prashant Shiralkar , Luis M. Rocha , Johan Bollen , Filippo Menczer , Alessandro Flammini

Mathematical notation, i.e., the writing system used to communicate concepts in mathematics, encodes valuable information for a variety of information search and retrieval systems. Yet, mathematical notations remain mostly unutilized by…

Digital Libraries · Computer Science 2021-06-23 Andre Greiner-Petter , Moritz Schubotz , Fabian Mueller , Corinna Breitinger , Howard S. Cohl , Akiko Aizawa , Bela Gipp

Web Services provide interoperable mechanisms for describing, locating and invoking services over the Internet; composition further enables to build complex services out of simpler ones for complex B2B applications. While current studies on…

Software Engineering · Computer Science 2013-11-12 Manuel Mazzara , Michele Ciavotta

Document alignment aims to identify pairs of documents in two distinct languages that are of comparable content or translations of each other. Such aligned data can be used for a variety of NLP tasks from training cross-lingual…

Computation and Language · Computer Science 2020-10-13 Ahmed El-Kishky , Francisco Guzmán

This article presents a measure of semantic similarity in an IS-A taxonomy based on the notion of shared information content. Experimental evaluation against a benchmark set of human similarity judgments demonstrates that the measure…

Artificial Intelligence · Computer Science 2011-05-30 P. Resnik

This article aims at summarizing the existing methods for sampling social networking services and proposing a faster confidence interval for related sampling methods. It also includes comparisons of common network sampling techniques.

Applications · Statistics 2013-02-21 Baiyang Wang

Parameterization and approximation are two popular ways of coping with NP-hard problems. More recently, the two have also been combined to derive many interesting results. We survey developments in the area both from the algorithmic and…

Data Structures and Algorithms · Computer Science 2020-06-09 Andreas Emil Feldmann , Karthik C. S. , Euiwoong Lee , Pasin Manurangsi

PageRank has become a key element in the success of search engines, allowing to rank the most important hits in the top screen of results. One key aspect that distinguishes PageRank from other prestige measures such as in-degree is its…

Information Retrieval · Computer Science 2007-05-23 Santo Fortunato , Marian Boguna , Alessandro Flammini , Filippo Menczer
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