Seonglae ChoDifferentiation
Future prediction is integration, and rule decomposition is differentiation. Derivation is the process of obtaining local rules (direction/velocity/slope), while Integral is the process of advancing the state forward according to those rules. In other words, because differentiation is definable, it provides guidance on how to handle each specific data sample or each instance of reality. Inference is integration; it approximates the uncertain future prediction. Therefore, training is differentiation and inference is integration.
Derivation Notion
