A method for process monitoring of a laser machining process for estimating a machining quality is dicloses. The method may include steps, which are carried out in real time during the machining process of providing at least one captured first signal sequence with a first feature form a machining zone, providing at least one captured second signal sequence with a second feature from the machining zone, and accessing a trained neural network with at least the recorded first and second signal sequences in order to calculate a result for estimating the machining quality.