Research lines
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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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Optimisation algorithms
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Optimisation problems in Banach spaces. Study of operators (multilinear forms, polynomials) that reach the norm
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- Identification- Optimisation- Prediction
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Schedule and Crop Planning, Distribution Networks, Bin-Packing, Complex Industrial Processes, Graph Partition, etc. Multiobjective evolutionary optimization. High availability and high performance.
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Theoretical/computations concepts and techniques are used to:Determine the entropy of quantum systems using special-function techniques.Qualify and quantify the classical and quantum correlations, especially as regards the analysis ...
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Representing and treating complex information (ontologies, hypermedia networks, knowledge networks, semantic web, etc.)
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Obtaining variational formulations of elliptic boundary problems based on extensions of the classical theorems of Lax-Milgram (primal) or Babuška-Brezzi (mixed) to general contexts of locally convex spaces, as well ...
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Focuses on solving problems such as cross-sectional content. Studies the modelling process and its relationship with the representations and use of new technologies. Also considers aspects of attitudes and emotions ...
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Processing images by means of diffuse logic. Classifying images and recognising patterns
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One of the problems posed by the design of systems based on reusable modules is the protection of the intellectual property of the modules (IP cores) to be distributed. The ...
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The work that is carried out in this area related to multimedia transmission is focused on the design of services that offer the quality of service that interactive multimedia transmission ...
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Quality assessment in digital libraries and web sites
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ISO standards. User experience. Quality in use. Playability.
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Recognition of human actions based from video sequences
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In order to improve the current technology of dialogue systems, very intensive research is being carried out on the detection or recognition of the emotional state of the user. The ...
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Development of models that allow recommendations to users to be personalised. These models are based on content and collaborative information.