Research lines
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Quantum-mechanical study of electronic and magnetic properties of carbon nanostructures
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Initial value problem for hyperbolic equations, mathematical foundations of gravitational waves, causality and convex cone structures, Finslerian modifications of General Relativity including the Einstein-Hilbert-àlatini equations.
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Mean curvature of spacelike surfaces in space-times with symmetries
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The group is working on the development of new instrumentation techniques, and on the integration of recent advances in web technology, operating systems and heterogeneous embedded devices for measurement systems ...
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Definition of measures, based on features and on the gain of information, that can predict the visibility of an object of interest in a natural background. Target distinction: we are ...
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Researchers are interested in recent innovations and advances in design, implementation, development, deployment and use of platforms based on middleware, as well as in architectures and programming models on which ...
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Geometric evolution problems for curves and surfaces, especially those related to mean curvature, lead to interesting systems of non-linear differential equations and provide the appropriate mathematical modelling of physical processes ...
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Model identification.
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This line of research is coordinated by staff from the Crystallographic Studies Laboratory, CSIC-UGR and our Department (Inorganic Chemistry). The aim is to improve the solubility, stability and other biopharmaceutical ...
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This line covers: grammatical inference (Crisp/Fuzzy) using recurrent neural networks; algorithms for improving the training of neural networks; algorithms for the optimisation of neural network topologies; rule extraction from ...
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- Simulación de sistemas neuronales en tiempo real: neuro-robótica.- Diseño de sistemas neuromórficos orientados a percepción visual.
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Assuming sampling in finite populations, the objective of this line is to obtain new methods for the estimation of a proportion based on nonparametric regression, and which take the sampling ...
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Predicción, detección de patrones y anomalías en Series Temporales de Cantidades Masivas de Datos (Big Data Time Series); dichas series podrán contener datos numéricos, simb ...
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Design of new algorithms of numerical resolution of inverse problems associated with a partial differential equation. They are based on the use of variational tools obtained in the two previous ...
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Study of geometric properties related to the numerical range of operators: Daugavet property, alternative Daugavet property and numerical index of Banach spaces.
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The group works on different formalisms to represent uncertainty: Probability theory, possibility theory, evidence theory, imprecise probability theory, among others, as well as the concepts and operators necessary to handle ...
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Resolution of this type of equations using original numerical methods based on the existence of biorthogonal systems in appropriate Banach spaces
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Decision-making through computers, with Artificial Intelligence techniques, is extremely important. In this line of research, methodologies for conflict resolution, negotiations or reaching consensus in different areas (personnel selection, courts of ...
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Optimisation algorithms
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Optimisation problems in Banach spaces. Study of operators (multilinear forms, polynomials) that reach the norm