A Two-Step Machine Learning Method for Predicting the Formation Energy of Ternary Compounds

Author:

Rengaraj Varadarajan1,Jost Sebastian2ORCID,Bethke Franz2ORCID,Plessl Christian34ORCID,Mirhosseini Hossein1ORCID,Walther Andrea2ORCID,Kühne Thomas D.145ORCID

Affiliation:

1. Dynamics of Condensed Matter, Chair of Theoretical Chemistry, University of Paderborn, Warburger Str. 100, 33098 Paderborn, Germany

2. Department of Mathematics, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099 Berlin, Germany

3. Department of Computer Science, University of Paderborn, Warburger Str. 100, 33098 Paderborn, Germany

4. Paderborn Center for Parallel Computing (PC2), University of Paderborn, Warburger Str. 100, 33098 Paderborn, Germany

5. Center for Sustainable Systems Design, University of Paderborn, Warburger Str. 100, 33098 Paderborn, Germany

Abstract

Predicting the chemical stability of yet-to-be-discovered materials is an important aspect of the discovery and development of virtual materials. The conventional approach for computing the enthalpy of formation based on ab initio methods is time consuming and computationally demanding. In this regard, alternative machine learning approaches are proposed to predict the formation energies of different classes of materials with decent accuracy. In this paper, one such machine learning approach, a novel two-step method that predicts the formation energy of ternary compounds, is presented. In the first step, with a classifier, we determine the accuracy of heuristically calculated formation energies in order to increase the size of the training dataset for the second step. The second step is a regression model that predicts the formation energy of the ternary compounds. The first step leads to at least a 100% increase in the size of the dataset with respect to the data available in the Materials Project database. The results from the regression model match those from the existing state-of-the-art prediction models. In addition, we propose a slightly modified version of the Adam optimizer, namely centered Adam, and report the results from testing the centered Adam optimizer.

Funder

Deutsche Forschungsgemeinschaft

Publisher

MDPI AG

Subject

Applied Mathematics,Modeling and Simulation,General Computer Science,Theoretical Computer Science

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