2020
DOI: 10.3390/e23010028
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Towards Generative Design of Computationally Efficient Mathematical Models with Evolutionary Learning

Abstract: In this paper, we describe the concept of generative design approach applied to the automated evolutionary learning of mathematical models in a computationally efficient way. To formalize the problems of models’ design and co-design, the generalized formulation of the modeling workflow is proposed. A parallelized evolutionary learning approach for the identification of model structure is described for the equation-based model and composite machine learning models. Moreover, the involvement of the performance m… Show more

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Cited by 14 publications
(10 citation statements)
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“…Since the cable dome support joint provides rigid support for the entire cable dome structure, topology optimization selects the maximum stiffness (minimum flexibility) as the goal. To achieve maximum stiffness with minimum material, the volume fraction of the joint is taken as the constraint, and the design variable of the model is the element density [ 24 , 25 ]. Therefore, the mathematical model of topology optimization can be described as follows: min C ( x ) = 1/2 U T KU s.t.…”
Section: Topology Optimization Methods and Mathematical Modelmentioning
confidence: 99%
“…Since the cable dome support joint provides rigid support for the entire cable dome structure, topology optimization selects the maximum stiffness (minimum flexibility) as the goal. To achieve maximum stiffness with minimum material, the volume fraction of the joint is taken as the constraint, and the design variable of the model is the element density [ 24 , 25 ]. Therefore, the mathematical model of topology optimization can be described as follows: min C ( x ) = 1/2 U T KU s.t.…”
Section: Topology Optimization Methods and Mathematical Modelmentioning
confidence: 99%
“…Every experiment consists of several stages: the evaluation of each version of the evolutionary algorithm (repeated ten times to obtain a stable result); evaluation of the prediction quality (with test sample) and computational time (measured during the evaluations and verified using an empirical performance model [4]); analysis of Pareto frontiers and hypervolume values. For the non-parameter-free algorithms, the population size was set to 20 and the maximum number of generations was set to 30.…”
Section: A Setup Of Experimentsmentioning
confidence: 99%
“…In many cases, it is impossible to maximize all criteria simultaneously, which leads to a multi-objective optimization problem. The usage of multi-objective approaches in AutoML solutions is a quite promising direction that can lead to better suitability of the obtained ML pipelines and even makes it possible to co-design the models and infrastructure [4].…”
Section: Introductionmentioning
confidence: 99%
“…Fine-tuning of the hyperparameters in the composite pipeline usually differents from that are using in existing Au-toML tools for single machine learning models [45]. As an example, the data preprocessing block also require appropriate tuning, but the quality metric evaluation can not be provided without connection with the models.…”
Section: Issue 5: How To Tune the Hyperparameters In Composite Pipeli...mentioning
confidence: 99%