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Application of Methods of Machine Learning for the Recognition of Mathematical Expressions.

Oleh Veres, +2 more
- pp 378-389
TLDR
The article describes the study of the peculiarities of presentation of mathematical methods, as well as methods and algorithms for their recognition, and the possibility of simultaneous execution of structural analysis and character classification is investigated.
Abstract
The article describes the study of the peculiarities of presentation of mathematical methods, as well as methods and algorithms for their recognition. The possibility of simultaneous execution of structural analysis and character classification is investigated. The process of classification of the symbols and construction of the corresponding system, based on methods of machine learning, is described. For the initial initialization of the symbol classification process, a segmented binary image passes a "rough" classification by the Bayesian Network. Classification using contexts is processed by artificial Neural Networks. The system being developed is a multi-classifier. Five different classifiers work to get the optimal result.

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References
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Computer Vision

TL;DR: Computer Vision presents the necessary theory and techniques for students and practitioners who will work in fields where significant information must be extracted automatically from images, a useful resource book for professionals and a core text for both undergraduate and beginning graduate computer vision and imaging courses.
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Recognizing mathematical expressions using tree transformation

TL;DR: A robust and efficient system for recognizing typeset and handwritten mathematical notation that allows robust handling of unexpected input, increases the scalability of the system, and provides the groundwork for handling dialects of mathematical notation.
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Mathematical formula recognition using virtual link network

TL;DR: A new method of recognizing mathematical formulae that is robust against the recognition errors of characters and the variation of the printing styles of the documents, and that local errors of the recognition are recovered automatically by the total cost of the Recognition tree.
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Ambiguity and constraint in mathematical expression recognition

TL;DR: A new lower bound estimate on the cost to goal that improves performance significantly is provided and the system limits the number of potentially valid interpretations by decomposing the expressions into a sequence of compatible convex regions.