A Two-Parameter Fractional Tsallis Decision Tree.

Decision trees are decision support data mining tools that create, as the name suggests, a tree-like model. The classical C4.5 decision tree, based on the Shannon entropy, is a simple algorithm to calculate the gain ratio and then split the attributes based on this entropy measure. Tsallis and Renyi entropies (instead of Shannon) can be employed to generate a decision tree with better results. In practice, the entropic index parameter of these entropies is tuned to outperform the classical decision trees. However, this process is carried out by testing a range of values for a given database, which is time-consuming and unfeasible for massive data. This paper introduces a decision tree based on a two-parameter fractional Tsallis entropy. We propose a constructionist approach to the representation of databases as complex networks that enable us an efficient computation of the parameters of this entropy using the box-covering algorithm and renormalization of the complex network. The experimental results support the conclusion that the two-parameter fractional Tsallis entropy is a more sensitive measure than parametric Renyi, Tsallis, and Gini index precedents for a decision tree classifier.

Fractional information dimensions of complex networks.

In this article, new information dimensions of complex networks are introduced underpinned by fractional order entropies proposed in the literature. This fractional approach of the concept of information dimension is applied to several real and synthetic complex networks, and the achieved results are analyzed and compared with the corresponding ones obtained using classic information dimension based on the Shannon entropy. In addition, we have investigated an extensive classification of the treated complex networks in correspondence with the fractional information dimensions.

Hölder norm estimate for the fractal Hilbert transform in Douglis analysis.

The main goal of this paper is to estimate the Hölder norm of a fractal version of the Hilbert transform in the Douglis analysis context acting from Hölder spaces of Douglis algebra valued functions defined on h-summable curves.

Terapia electroquímica: relación del patrón espacial del daño tisular con la forma del arreglo de electrodos / Electrochemical therapy: relationship of the tissular damage space pattern with the form of electrodes repair

Se realizó una investigación en la Escuela Superior de Ingeniería Mecánica y Eléctrica del Instituto Politécnico Nacional de Ciudad de México, desde mayo hasta junio de 2016, con el objetivo de determinar cómo cambia el patrón espacial del daño tisular con la forma del arreglo de electrodos en piezas tridimensionales de papa (Solanum tuberosum L) bajo la acción de 10 mA durante 30 min para los arreglos de electrodos con formas colineal, circular, elíptica, parabólica e hiperbólica). Los resultados mostraron la estrecha relación entre el daño tisular y la forma del arreglo de electrodos, así como algunos hallazgos que se observan también en tumores, tales como: necrosis circular alrededor de todos los electrodos, daño tisular extensivo en espacio y en tiempo, burbujeo alrededor del cátodo, zona blanca alrededor del ánodo; igualmente, se observó que las regiones alejadas de los electrodos no se afectaron

An investigation in the Mechanical and Electric Engineering Higher School of the National Polytechnic Institute of Mexico City, was carried out from May to June, 2016, aimed at determining how the tissue damage space pattern changes with the electrodes position form in three-dimensional pieces of potato (Solanum tuberosum L) under the 10 MA action during 30 minutes for electrodes position with cholineal, round, elliptic, parabolic and hyperbolic forms). The results showed a close relationship between the tissue damage and the electrodes position form, as well as some findings that are also observed in tumors, such as: circular necrosis around all the electrodes, extensive tissue damage in space and time, bubbling around the cathode, white area near the anode; likewise, it was observed that the regions far from the electrodes were not affected

Terapia electroquímica: relación del patrón espacial del daño tisular con la forma del arreglo de electrodos / Electrochemical therapy: relationship of the tissular damage space pattern with the form of electrodes repair

Se realizó una investigación en la Escuela Superior de Ingeniería Mecánica y Eléctrica del Instituto Politécnico Nacional de Ciudad de México, desde mayo hasta junio de 2016, con el objetivo de determinar cómo cambia el patrón espacial del daño tisular con la forma del arreglo de electrodos en piezas tridimensionales de papa (Solanum tuberosum L) bajo la acción de 10 mA durante 30 min para los arreglos de electrodos con formas colineal, circular, elíptica, parabólica e hiperbólica). Los resultados mostraron la estrecha relación entre el daño tisular y la forma del arreglo de electrodos, así como algunos hallazgos que se observan también en tumores, tales como: necrosis circular alrededor de todos los electrodos, daño tisular extensivo en espacio y en tiempo, burbujeo alrededor del cátodo, zona blanca alrededor del ánodo; igualmente, se observó que las regiones alejadas de los electrodos no se afectarona(AU)

An investigation in the Mechanical and Electric Engineering Higher School of the National Polytechnic Institute of Mexico City, was carried out from May to June, 2016, aimed at determining how the tissue damage space pattern changes with the electrodes position form in three-dimensional pieces of potato (Solanum tuberosum L) under the 10 MA action during 30 minutes for electrodes position with cholineal, round, elliptic, parabolic and hyperbolic forms). The results showed a close relationship between the tissue damage and the electrodes position form, as well as some findings that are also observed in tumors, such as: circular necrosis around all the electrodes, extensive tissue damage in space and time, bubbling around the cathode, white area near the anode; likewise, it was observed that the regions far from the electrodes were not affected(AU)