Mathematical entity recognition is indispensable for machines to accurately explain and depict mathematical content and to enable adequate mathematical operations and reasoning. It expedites automated theorem proving, speeds up the analysis and retrieval of mathematical knowledge from documents, and improves e-learning and educational platforms. It also simplifies translation, scientific research, data analysis, interpretation, and the practical application of mathematical information. Mathematical entity recognition in the Bangla language is novel; to our best knowledge, no other similar works have been done. Here, we identify the mathematical operator, operands as numbers, and popular mathematical terms (complex numbers, real numbers, prime numbers, etc.). In this work, we recognize Bangla Mathematical Entity Recognition (MER) utilizing the ensemble architecture of deep neural networks known as Bidirectional Encoder Representations from Transformers (BERT). We prepare a novel dataset comprising 13,717 observations, each containing a mathematical statement, mathematical entity, and mathematical type. In our recognition process, we consider our proposed architectures using accuracy, precision, recall and f1-score as the performance metrics. The results have shown a satisfactory accuracy percentage of 97.98 with BERT and 99.76% with ensemble BERT.
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http://dx.doi.org/10.1016/j.heliyon.2024.e25467 | DOI Listing |
Epilepsia
December 2024
Department of Neurology, Odense University Hospital, Odense, Denmark.
Objective: Idiopathic generalized epilepsy (IGE) in adults comprise juvenile myoclonic epilepsy (JME), juvenile absence epilepsy (JAE), and epilepsy with generalized tonic-clonic seizures alone (EGTCS), which are defined by their seizure types but also cover a broad endophenotype of symptoms. Controversy exists on whether adult IGE is a group of distinct diseases or a clinical spectrum of one disease. Here, we used a deeply phenotyped cohort to test the hypothesis that IGE comprises three distinct clinical entities.
View Article and Find Full Text PDFPLOS Digit Health
December 2024
Department of Sport, Exercise & Rehabilitation, Northumbria University, Newcastle upon Tyne, United Kingdom.
Background: There is currently no pharmacological treatment for visuo-cognitive impairments in Parkinson's disease. Alternative strategies are needed to address these non-motor symptoms given their impact on quality of life. Novel technologies have potential to deliver multimodal rehabilitation of visuo-cognitive dysfunction, but more research is required to determine their feasibility in Parkinson's.
View Article and Find Full Text PDFEPJ Data Sci
March 2024
Department of Computer Science, Grinnell College, 1116 8th Ave, 50112 Grinnell, USA.
Higher-order networks are widely used to describe complex systems in which interactions can involve more than two entities at once. In this paper, we focus on inclusion within higher-order networks, referring to situations where specific entities participate in an interaction, and subsets of those entities also interact with each other. Traditional modeling approaches to higher-order networks tend to either not consider inclusion at all (e.
View Article and Find Full Text PDFHeliyon
July 2024
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore - 632014, Tamilnadu, India.
The present study delves into the dynamics of a specific form of queueing system described as an retrial queue. Here, the queue comprises two distinct categories of clients: transit clients and recurrent clients. Transit clients are those who appear at the queue following a Poisson process, reflecting a random arrival pattern commonly seen in queueing scenarios.
View Article and Find Full Text PDFAnn Oper Res
April 2023
Department of Statistics and Operations Research, Vienna University, Kolingasse 14-16, A-1090 Vienna, Austria.
We consider the problem faced by a central bank which bails out distressed financial institutions that pose systemic risk to the banking sector. In a structural default model with mutual obligations, the central agent seeks to inject a minimum amount of cash in order to limit defaults to a given proportion of entities. We prove that the value of the central agent's control problem converges as the number of defaultable institutions goes to infinity, and that it satisfies a drift controlled version of the supercooled Stefan problem.
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