A method for processing a video includes determining, for a first video unit, a set of local illumination compensation (LIC) parameters including a scaling factor and an offset factor; performing or skipping a pre-process on at least partial of the set of LIC parameters; and updating at least one history based local illumination compensation parameter table (HLICT) using at least partial of the set of LIC parameters, the at least one HLICT being used for a conversion of subsequent video units.