Latin hypercubes for constrained design of experiments for data-driven models
Author:
Schneider Fabian1, Hellmig Ralph J.2, Nelles Oliver1
Affiliation:
1. Department Maschinenbau , Universität Siegen, Institut für Mechanik und Regelungstechnik – Mechatronik , Paul-Bonatz-Str. 9-11, 57068 Siegen , Germany 2. Department Maschinenbau , Universität Siegen, Lehrstuhl für Materialkunde und Werkstoffprüfung , Paul-Bonatz-Str. 9-11, 57068 Siegen , Germany
Abstract
Abstract
The quality of data used for data-driven modeling affects the model performance significantly. Thus, design of experiments (DoE) is an important part during model development. The design space is constrained in many applications. In this work, the constrained case is investigated. An Latin hypercube based approach is applied and analyzed for strongly constrained design spaces. Contrary to commonly used optimization techniques, an incremental procedure is proposed. In every step, new data are added to the design. Each new point is selected by a distance-based criterion. The performance of the created designs is evaluated by the quality of the trained models. For different constraints, artificial data sets are created with a function generator. The performance of local model networks and Gaussian process regression models trained with those designs is evaluated and compared to models trained on data sets based on Sobol’ sequences.
Publisher
Walter de Gruyter GmbH
Subject
Electrical and Electronic Engineering,Computer Science Applications,Control and Systems Engineering
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