Abstract

Machine learning (ML) methods have shown powerful performance in different application. Nonetheless, designing ML models remains a challenge and requires further research as most procedures adopt a trial and error strategy. In this study, we present a methodology to optimize the architecture and the feature configurations of ML models considering a supervised learning process. The proposed approach employs genetic algorithm (GA)-based integer-valued optimization for two ML models, namely deep neural networks (DNN) and adaptive neuro-fuzzy inference system (ANFIS). The selected variables in the DNN optimization problems are the number of hidden layers, their number of neurons and their activation function, while the type and the number of membership functions are the design variables in the ANFIS optimization problem. The mean squared error (MSE) between the predictions and the target outputs is minimized as the optimization fitness function. The proposed scheme is validated through a case study of computational material design. We apply the method to predict the fracture energy of polymer/nanoparticles composites (PNCs) with a database gathered from the literature. The optimized DNN model shows superior prediction accuracy compared to the classical one-hidden layer network. Also, it outperforms ANFIS with significantly lower number of generations in GA. The proposed method can be easily extended to optimize similar architecture properties of ML models in various complex systems.

Highlights

  • Machine learning (ML) methods have been extensively used for simulating material design in various applications recently thanks to the considerable advancements in computing power

  • The hyperparameters defining the optimal architecture of ML models are sought for the model problem of predicting the fracture energy of the polymer/nanoparticles composites (PNCs) ðGIcÞ

  • It can be noted that Str:-1 has stationary trend and cannot be improved with further generations; Str:-6 requires 75 (= 3800 function evaluations) generations to get the lowest fitness of mean squared error (MSE) 1⁄4 1503:3 among the different deep neural networks (DNN)

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Summary

Introduction

Machine learning (ML) methods have been extensively used for simulating material design in various applications recently thanks to the considerable advancements in computing power. The high advantage of ML is to represent the actual behavior with much less cost and time These tools are based on computational intelligence through correlating the input parameters to the output/s of interest by means of mathematics and statistical methods. ML modeling is reasonably accurate and able to capture and identify the nonlinearity in the very complex physical systems by developing a black box model without the need to mathematical models It has become a viable complement and even an alternative to the physically based model [1,2,3]. The adaptive neuro-fuzzy inference system (ANFIS) presents a combination of neural network and a fuzzy system that deals with reasoning Using these artificial intelligence approaches, the behavior of the given problems can be captured effectively and, the future response can be predicted implicitly with much less effort

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