This course presents an introduction to the research in the field of the Complex Systems, with certain approach towards the applications in Social Sciences and Biology. The course approaches the mathematical tools in this area, in particular, the evolutionary theory of games, the complex networks, the dynamics of populations, the massive data processing, the simulation based on agents, etc… We structure the course in five blocks, that although with connections can be considered like independent, organized around a general introduction and to four more specific problems: the theory of games and its applications socioeconomic; the models of evolution in Biology; the fundamental characteristics of the complex networks like quite generic support of many of the used models; the analysis of financial markets. Two sessions of interactive laboratory it will be affected the use of models based on agents like a complementary perspective to the analytical techniques.

 

Instructors:

• Ángel Sánchez, (Dep. matemáticas, Universidad Carlos III de Madrid-SIMUMAT)
• Esteban Moro, (Dep. matemáticas, Universidad Carlos III de Madrid-SIMUMAT)
• Alex Arenas, (Dep. Ingeniería Informática y Matemáticas, Universitat Rovira i Virgili)
• José A. Cuesta, (Dep. matemáticas, Universidad Carlos III de Madrid)
• Susanna Manrubia, (Centro de Astrobiología, INTA-CSIC)

 

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COURSE: Some statistical procedures for image analysis

 

This course begins with an introduction to the statistical simulation software R, with different simulation and statistical modelling with R. We continue presenting basic ideas of statistical classification theory with applications to image analysis. Later, we show some statistical techniques of set estimation and conclude with practical implementations with the software R.

Instructors:

• José Ramón Berrendero, Dpto. de Matemáticas, UAM-SIMUMAT
• Antonio Cuevas, Dpto. de Matemáticas, UAM-SIMUMAT
• Alberto Rodríguez-Casal, Dpto. de Estadística e I.O., Universidad de Santiago de Compostela.