Supplementary to " Instance-dependent Label-noise Learning under a Structural Causal Model " Y u Y ao

Appendix A: Derivation Details of evidence lower-bound (ELBO) In this section, we show the derivation details of ELBO(x, y) . Recall that the causal decomposition of the instance-dependent label noise is P ( X, Y,Y,Z) = P (Y)P (Z)P (X |Y,Z)P ( Y | Y,X). In this section, we provide the empirical solution of the ELBO and co-teaching loss. As mentioned in our main paper (see Section 3.2), the negative ELBO loss is to minimize 1). a For co-teaching loss, we directly follow Han et al. [ In this section, we summarize the network structures for different datasets. The source code has been included in our supplementary material.