Pecific information forms to ascertain functions among the approach mean or variance and input variables. Over the previous two decades, artificial neural networks (ANNs), normally generally known as neural networks (NNs), have already been widely utilised to classify, cluster, approximate, forecast, and optimize datasets within the fields of biology, medicine, industrial engineering, control engineering, computer software engineering, environmental science, economics, and sociology. An ANN is often a quantitative numerical model that originates from the organization and operation with the neural networks with the biological brain. The basic developing blocks of every single ANN are artificial neurons, i.e., very simple mathematical models (functions). Standard ANNs comprise thousands or millions of artificial neurons (i.e., nonlinear processing units) connected by way of (synaptic) weights. ANNs can “learn” a process by adjusting these weights. Neurons obtain inputs with their related weights, transform these inputs employing activation functions, and pass the transformed information and facts as outputs. It has been theoretically proved that ANNs can approximate any continuous mapping to arbitrary precision with no any assumptions [192]. In addition, with out any expertise of underlying principles, ANNs can identify unknown interactions amongst the input and output performances of a process because of their data-driven and self-adaptive properties. Accordingly, the functional correlation among the input and output high-quality traits in RD may be modeled and analyzed by NNs with out any assumptions. The integration of an NN into the experiment design and style procedure of an RD model has been talked about in Rowlands et al. [23] and Shin et al. [24]. In recent occasions, Arungpadang and Kim [25] presented a feed-forward NN-based RSM that enhanced the precision of estimations devoid of extra experiments. Le et al. [26] proposed an NN-based estimation approach that identified a brand new screening procedure to decide the optimum transfer function, to ensure that a a lot more accurate solution may be obtained. A genetic algorithm with NNs has been executed in Su and Hsieh [27], Cook et al. [28], Chow et al. [29], Chang [30], Chang and Chen [31], Arungpadang et al. [32], and Villa-Murillo et al. [33] as an estimation technique to investigate the optimal high quality qualities with linked handle element settings inside the RD model devoid of the use of estimation formulas. Winiczenko et al. [34] introduced an efficient optimization technique by combining the RSM and a genetic algorithm (GA) to discover the optimal topology of ANNs for predicting colour adjustments in rehydrated apple cubes.Appl. Sci. 2021, 11, x FOR PEER REVIEW3 ofAppl. Sci. 2021, 11,manage factor settings in the RD model without having the use of estimation formulas. 3 of 18 Winiczenko et al. [34] introduced an efficient optimization approach by combining the RSM and a genetic algorithm (GA) to locate the optimal topology of ANNs for predicting colour alterations in rehydrated apple cubes. Consequently, the primary objective will be to propose a new dual-response estimation method Consequently,primarily based on NNs. First, theto propose a brand new process mean and standard deviation functions the primary objective is normal quadratic dual-response estimation method based on NNs. in RD the regular quadratic method imply and common deviation functions method. Initial, are estimated making use of the proposed functional-link-NN-based estimation in RD are estimated employing the proposed functional-link-NN-based estimation system. SecSecond, the Bayesian Cyprodinil Agonist informat.