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On the Inverse Degree Polynomial

2019 , BOSCH PÉREZ, PAUL JESÚS , José Manuel Rodríguez , Omar Rosario , José María Sigarreta

Using the symmetry property of the inverse degree index, in this paper, we obtain several mathematical relations of the inverse degree polynomial, and we show that some properties of graphs, such as the cardinality of the set of vertices and edges, or the cyclomatic number, can be deduced from their inverse degree polynomials.

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Mining EEG with SVM for Understanding Cognitive Underpinnings of Math Problem Solving Strategies

2018 , BOSCH PÉREZ, PAUL JESÚS , HERRERA MARÍN, MAURICIO RENÉ , Julio López , Sebastián Maldonado

We have developed a new methodology for examining and extracting patterns from brain electric activity by using data mining and machine learning techniques. Data was collected from experiments focused on the study of cognitive processes that might evoke different specific strategies in the resolution of math problems. A binary classification problem was constructed using correlations and phase synchronization between different electroencephalographic channels as characteristics and, as labels or classes, the math performances of individuals participating in specially designed experiments. The proposed methodology is based on using well-established procedures of feature selection, which were used to determine a suitable brain functional network size related to math problem solving strategies and also to discover the most relevant links in this network without including noisy connections or excluding significant connections.