This study describes an application of hybrid modelling for an atmospheric variable in the Krsko basin.The hybrid model is a combination of a physics-based and data-driven model and has some properties of both modelli...This study describes an application of hybrid modelling for an atmospheric variable in the Krsko basin.The hybrid model is a combination of a physics-based and data-driven model and has some properties of both modelling approaches.In the authors’case,it is used for the modelling of an atmospheric variable,namely relative humidity in a particular location for the purpose of using the predictions of the model as an input to the air-pollution-dispersion model for radiation exposure.The presented hybrid model is a combination of a physics-based atmospherical model and a Gaussian-process(GP)regression model.The GP model is a probabilistic kernel method that also enables evaluation of prediction confidence.The problem of poor scalability of GP modelling was solved using sparse GP modelling;in particular,the fully independent training conditional method was used.Two different approaches to dataset selection for empirical model training were used and multiple-step-ahead predictions for different horizons were assessed.It is shown in this study that the accuracy of the predicted relative humidity in the Krsko basin improved when using hybrid models over using the physics-based model alone and that predictions for a considerable length of horizon can be used.展开更多
The concept of an HX-group is an upgrade of the concept of a group,in which a new operation is defined on the family of non-empty subsets of a group.If this new support set together with the new operation is a group,t...The concept of an HX-group is an upgrade of the concept of a group,in which a new operation is defined on the family of non-empty subsets of a group.If this new support set together with the new operation is a group,then we call it an HX-group.On the other hand,a hyperoperation is a mapping having the same codomain as the operation of an HX-group,i.e.,the family of non-empty subsets of the initial set,but a different domain-the set itself.This could be(and was indeed)a source of confusion,which is clarified in this paper.Moreover,HX-groups naturally lead to constructions of hypergroups.The links between these two algebraic concepts are presented,with the aim of reviving the old notion of an HX-group in the current research on algebraic hyperstructures.One of such existing links and one newly established link are also discussed.展开更多
文摘This study describes an application of hybrid modelling for an atmospheric variable in the Krsko basin.The hybrid model is a combination of a physics-based and data-driven model and has some properties of both modelling approaches.In the authors’case,it is used for the modelling of an atmospheric variable,namely relative humidity in a particular location for the purpose of using the predictions of the model as an input to the air-pollution-dispersion model for radiation exposure.The presented hybrid model is a combination of a physics-based atmospherical model and a Gaussian-process(GP)regression model.The GP model is a probabilistic kernel method that also enables evaluation of prediction confidence.The problem of poor scalability of GP modelling was solved using sparse GP modelling;in particular,the fully independent training conditional method was used.Two different approaches to dataset selection for empirical model training were used and multiple-step-ahead predictions for different horizons were assessed.It is shown in this study that the accuracy of the predicted relative humidity in the Krsko basin improved when using hybrid models over using the physics-based model alone and that predictions for a considerable length of horizon can be used.
基金The first author acknowledges the financial support from the Slovenian Research Agency(research core funding No.P1-0285)The second author was supported by the FEKT-S-17-4225 grant of Brno University of Technology.
文摘The concept of an HX-group is an upgrade of the concept of a group,in which a new operation is defined on the family of non-empty subsets of a group.If this new support set together with the new operation is a group,then we call it an HX-group.On the other hand,a hyperoperation is a mapping having the same codomain as the operation of an HX-group,i.e.,the family of non-empty subsets of the initial set,but a different domain-the set itself.This could be(and was indeed)a source of confusion,which is clarified in this paper.Moreover,HX-groups naturally lead to constructions of hypergroups.The links between these two algebraic concepts are presented,with the aim of reviving the old notion of an HX-group in the current research on algebraic hyperstructures.One of such existing links and one newly established link are also discussed.
