Before revision:  Recently, machine learning techniques based on Deep Neural Networks (DNNs) have begun to emerge as promising tools for function approximation in scientific computingproblems , with impressive results achieved on problems where the dimension of the underlying data or problem domain is large.
After revision:  Recently, machine learning with Deep Neural Networks (DNNs) have begun to emerge as promising tools for function approximation in scientific computingproblems , with impressive results achieved on problems where the dimension of the underlying data or problem domain is large.