Appendix of Joint Data-T ask Generation for Auxiliary Learning Hong Chen

We provide the derivation of the upper implicit gradient in eq. We summarize the whole DTG-AuxL algorithm in Algorithm 1, where the lower and upper optimization updates are conducted alternatingly. We use the batch stochastic gradient optimization for both the lower and upper update. STL: It is a natural baseline where we only train on the primary task. Equal: It is a multi-task learning method, where we assign an equal weight of 1.0 to the loss of each MAXL can be only applied to the classification problem.