In this paper, a new method is proposed to optimize a multi-response optimization problem based on the Taguchi method for the processes where controllable factors are the smaller-the-better (STB)-type variables and the analyzer desires to find an optimal solution with smaller amount of...

In this paper we examine feed-forward neural networks using genetic algorithms in the training process instead of error backpropagation algorithm. Additionally real encoding is preferred to binary encoding as it is more appropriate to find the optimum weights. We use learning and momentum rates...

This paper studies the Simultaneous Recurrent Neural Network (SRN), a trainable recurrent neural network, as a nonlinear dynamic system operating in relaxation mode for combinatorial optimization. Stability and convergence properties of the SRN dynamics in order to facilitate application of a...

We propose an optimal architecture for deep neural networks of given size. The optimal architecture obtains from maximizing the minimum number of linear regions approximated by a deep neural network with a ReLu activation function. The accuracy of the approximation function relies on the neural...

Calibration of financial models can have more than one local minima present, requiring the use of global optimization techniques to properly calibrate them. In general, calibrating with a global optimizer will be a slow operation. An artificial neural network, properly trained, can replicate the...

In this paper, we introduce a primal-dual algorithm for solving (martingale) optimal transportation problems, with cost functions satisfying the twist condition, close to the one that has been used recently for training generative adversarial networks. As some additional applications, we...