Optimización y aproximación al problema de la regresión simbólica a través de Straight Line Programs (SLP's) y algoritmos genéticos : Entrenamiento genético de SLP's

El problema de la regresión simbólica consiste en el aprendizaje, a partir de un conjunto muestra de datos obtenidos experimentalmente, de una función desconocida. Los métodos evolutivos han demostrado su eficiencia en la resolución de instancias de dicho problema. En este proyecto se propone una nueva estrategia evolutiva, a través de algoritmos genéticos, basada en una nueva estructura de datos denominada Straight Line Program (SLP) y que representa en este caso expresiones simbólicas. A partir de un SLP universal, que depende de una serie de parámetros cuya especialización proporciona SLP's concretos del espacio de búsqueda, la estrategia trata de encontrar los parámetros óptimos para que el SLP universal represente la función que mejor se aproxime al conjunto de puntos muestra. De manera conceptual, este proyecto consiste en un entrenamiento genético del SLP universal, utilizando los puntos muestra como conjunto de entrenamiento, para resolver el problema de la regresión simbólica.

History does not move in a straight line. CEPS Commentary, 5 July 2012

Eight years have passed since the EU launched its European Neighbourhood Policy, aimed at inducing its neighbours to the east to converge on modern European values and economic norms. In this Commentary, Michael Emerson reflects on the curious and circuitous turn of events in the region during this period. Michael Emerson is Senior Associate Research Fellow at CEPS.

On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

An algorithm for fitting related sets of straight-line data /

Includes bibliographies (p. 12).

Computation of drawdowns at equilibrium caused by wells drawing water from an aquifer fed by a finite straight line source /

Mode of access: Internet.

Method of determining the coefficient of storage from straight-line plots without extrapolation /

Mode of access: Internet.

Drawdown patterns for two-well systems as applied to straight-line-boundary conditions /

Mode of access: Internet.

Geometry without axioms; or the first book of Euclid's elements. With alterations and familiar notes; and an intercalary book in which the straight line and plane are derived from properties of the sphere ... To which is added an appendix ...

Mode of access: Internet.

Elements of analytical geometry: embracing the equations of the point, the straight line, the conic sections, and surfaces of the first and second order.

Mode of access: Internet.

Elements of analytical geometry; embracing the equations of the point, the straight line, the conic sections, and surfaces of the first and second order,

Mode of access: Internet.

A treatise on plane co-ordinate geometry : as applied to the straight line and the conic sections : with numerous examples /

Mode of access: Internet.

The principles of projective geometry applied to the straight line and conic,

Mode of access: Internet.

Robust Stereo Visual Odometry through a Probabilistic Combination of Points and Line Segments

Most approaches to stereo visual odometry reconstruct the motion based on the tracking of point features along a sequence of images. However, in low-textured scenes it is often difficult to encounter a large set of point features, or it may happen that they are not well distributed over the image, so that the behavior of these algorithms deteriorates. This paper proposes a probabilistic approach to stereo visual odometry based on the combination of both point and line segment that works robustly in a wide variety of scenarios. The camera motion is recovered through non-linear minimization of the projection errors of both point and line segment features. In order to effectively combine both types of features, their associated errors are weighted according to their covariance matrices, computed from the propagation of Gaussian distribution errors in the sensor measurements. The method, of course, is computationally more expensive that using only one type of feature, but still can run in real-time on a standard computer and provides interesting advantages, including a straightforward integration into any probabilistic framework commonly employed in mobile robotics.

Photogrammetric refinement of laser-based building roof contours

In this paper a photogrammetric method is proposed for refining 3D building roof contours extracted from airborne laser scanning data. It is assumed that laser-derived planar faces of roofs are potentially accurate, while laser-derived building roof contours are not well defined. First, polygons representing building roof contours are extracted from a high-resolution aerial image. In the sequence, straight-line segments delimitating each building roof polygon are projected onto the corresponding laser-derived roof planes by using a new line-based photogrammetric model. Finally, refined 3D building roof contours are reconstructed by connecting every pair of photogrammetrically- projected adjacent straight lines. The obtained results showed that the proposed approach worked properly, meaning that the integration of image data and laser scanning data allows better results to be obtained, when compared to the results generated by using only laser scanning data. © 2013 IEEE.