Determination of the Kardar-Parisi-Zhang equation from experimental data with a small number of configurations

We introduce an inverse method to determine the parameters of the Kardar-Parisi-Zhang equation corresponding to an evolving interface which requires a small number of configurations as input data. Our approach presents advantages for applications in real world scenarios since it does not require small time intervals between fronts. The method is applied to a restricted solid-on-solid model and a stochastic cellular automata model for fire front propagation.