1. A particulate estimation system configured for estimating a mass of particulate matter accumulated in a particulate filter of an exhaust system, the particulate estimation system comprising: a memory device configured for storing a plurality of modules; wherein each of the plurality of modules is configured to uniquely estimate an amount of the particulate matter accumulated within the particulate filter over a period of time; an interface configured to receive a plurality of input signals; wherein the plurality of input signals correspond to a plurality of modules stored in the memory device; a controller configured to derive a hybrid model based on the plurality of input signals; wherein the hybrid model is configured to provide an output that is an estimation of the amount of particulate matter accumulated within the particulate filter over the period of time as a function of the plurality of input signals.