Gallery — Project / Lab Report

Propuesta de grado

Base para Informe de práctica del Departmeno de Ciencias de la Computación de la Universidad de Chile

Supported Vectored Machine (SVM) is one of the most historical, but also most commonly used machine learning models in supervised learning. In this project, I built a SVM model with the Sequential Minimal Optimization (SMO) algorithm using SAS IML procedure. Also, I simulated some linearly separable data using data step and compared the result of the SVM model with the SAS build-in Logistic Procedure. Finally, I applied the model to a famous dataset called credit.

Plantilla para la presentación de tesis de grado usando la normas ICONTEC requeridas en la biblioteca de la Universidad Industrial de Santander - UIS

Een template om het verslag van de onderzoekscompetenties in Overleaf te maken. Veel succes!

We study Logarithmically Spiral Trajectories and, in particular, we look for a solution to minimize the transit time of a Spacecraft propelled by a Solar Sail, while simultaneously minimizing the area of the Solar Sail, which would allow us to carry more payload on board. We start by analyzing the forces that act on the Spacecraft taking into account that its propellant is a Solar Sail; we use the studied forces to deduce the motion equations. We then solve this motion equation with a Runge-Kutta 4 method and transform the problem of minimizing time and area to a Non-linear Optimization problem. When solving the NLP we also try to minimize the relative final speed of th spacecraft with the destination planet in order to guarantee the possibility of a safe landing on its surface. The model improves when an angle parameter α (describing the angle formed by the Solar Sail with the colliding photons) is defined as a piecewise constant function and optimized whose values are optimized in every interval to minimize transit time and Area. Using the developed model to optimize the trajectory to be followed for sending from Earth to Mars a 2000kg-spacecraft propelled by a Solar Sail, subject to the condition that at trajectory start Mars and Earth were at their closest approach, and the Arrival Relative Velocity is less than 9km/s, give us a minimal transit time of 500days and a minimal area for the Solar Sail of 183158m2, meaning that the maximal payload would be 718kg. Compared with different number of partitions of α, the optimum stays stable. This gives a solid optimal trajectory and a great result for the numerical method used. Actually, waiting until the best moment to throw the Spacecraft, id est, Mars is at 1.14 radians respectively to Earth initial position, the minimal sail area 145950 m2 and, therefore, ables to transport until 978 kg of payload with the same transit time. In addition and to conclude we tried the model to optimize the inverse trajectory.

Modelo Relatório

Este modelo de projeto de pesquisa foi modificado/adaptado (por mim, Keli F. Seidel) a partir de um modelo pré-existente "Template Projeto de pesquisa FACEPE-PIBIC"

Criado a partir da classe abntex2, desenvolvida pelo Centro de Pesquisa em Arquitetura da Informação (CPAI)