“…Neural networks (NNs) have shown the potential to overcome the curse of dimensionality [16]. NN models have made breakthroughs in many applications such as object detection [3], Covid-19 diagnosis [7], speech recognition [11], natural language processing [12], image generation [17], recommendation system [18], cosmological simulation [29], robot systems [34], and anomaly detection [35]. Many attempts have been made to solve deterministic partial differential equations (PDEs) by using deep neural networks (DNNs) [6], [9], [13], [22], [23], [24], [32], [36], [47], [50].…”