“…Neural networks show considerable promise for predicting noisy and chaotic time series data in a range of contexts (Xu and Zhang, 2023j, q;Karasu et al, 2017a, b), including the financial and economic sectors (Xu and Zhang, 2023d, s;Kumar et al, 2021;Xu, 2015bXu, , 2018aYang et al, 2008Yang et al, , 2010Wang and Yang, 2010;Karasu et al, 2020;Wegener et al, 2016), according to different studies. Their ability to foresee and recognize nonlinear patterns (Xu and Zhang, 2021c;Altan et al, 2021;Xu, 2018c) in a variety of time series (Xu and Zhang, 2021d, 2023aAbraham et al, 2020;Zhan and Xiao, 2021) through self-learning Zhang, 2023n, 2024d;Karasu et al, 2020) may be helpful in this respect. In this case, we employ a neural network to predict the price of green beans, a crucial agricultural commodity on the Chinese market.…”