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      20  1Scopus© Citations 7
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    Mining EEG with SVM for Understanding Cognitive Underpinnings of Math Problem Solving Strategies
    (2018) ; ;
    Julio López
    ;
    Sebastián Maldonado
    <jats:p>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.</jats:p>
      12  1Scopus© Citations 9
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    A general version of Milne-type inequalities
    (Springer Science and Business Media LLC, 2026-03-31) ;
    José M. Rodríguez
    ;
    José M. Sigarreta
      3
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      10Scopus© Citations 5
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    Oscillation results for a nonlinear fractional differential equation
    (2023) ;
    José M. Rodríguez
    ;
    José M. Sigarreta
    <jats:p xml:lang="fr">&lt;abstract&gt;&lt;p&gt;In this paper, the authors work with a general formulation of the fractional derivative of Caputo type. They study oscillatory solutions of differential equations involving these general fractional derivatives. In particular, they extend the Kamenev-type oscillation criterion given by Baleanu et al. in 2015. In addition, we prove results on the existence and uniqueness of solutions for many of the equations considered. Also, they complete their study with some examples.&lt;/p&gt;&lt;/abstract&gt;</jats:p>
    Scopus© Citations 1  3
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    On the Inverse Degree Polynomial
    (2019) ;
    José Manuel Rodríguez
    ;
    Omar Rosario
    ;
    José María Sigarreta
    <jats:p>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.</jats:p>
      12
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    A New Genetic Algorithm Encoding for Coalition Structure Generation Problems
    (2020)
    Juan Pablo Contreras
    ;
    ; ;
    Franco Basso
    Genetic algorithms have proved to be a useful improvement heuristic for tackling several combinatorial problems, including the coalition structure generation problem. In this case, the focus lies on selecting the best partition from a discrete set. A relevant issue when designing a Genetic algorithm for coalition structure generation problems is to choose a proper genetic encoding that enables an efficient computational implementation. In this paper, we present a novel hybrid encoding, and we compare its performance against several genetic encoding proposed in the literature. We show that even in difficult instances of the coalition structure generation problem, the proposed approach is a competitive alternative to obtaining good quality solutions in reasonable computing times. Furthermore, we also show that the encoding relevance increases as the number of players increases.
    Scopus© Citations 12  1
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    Inequalities on the Generalized ABC Index
    (2021) ;
    Edil D. Molina
    ;
    José M. Rodríguez
    ;
    José M. Sigarreta
    In this work, we obtained new results relating the generalized atom-bond connectivity index with the general Randić index. Some of these inequalities for ABCα improved, when α=1/2, known results on the ABC index. Moreover, in order to obtain our results, we proved a kind of converse Hölder inequality, which is interesting on its own.
      1Scopus© Citations 6
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    Jensen-type inequalities for <i>m</i>-convex functions
    (2022) ;
    Yamilet Quintana
    ;
    José M. Rodríguez
    ;
    José M. Sigarreta
    Inequalities play an important role in pure and applied mathematics. In particular, Jensen’s inequality, one of the most famous inequalities, plays the main role in the study of the existence and uniqueness of initial and boundary value problems for differential equations. In this work, we prove some new Jensen-type inequalities for <jats:italic>m</jats:italic>-convex functions and apply them to generalized Riemann-Liouville-type integral operators. Furthermore, as a remarkable consequence, some new inequalities for convex functions are obtained.
    Scopus© Citations 5  2