The number of cleaned counter-examples across data sets and models is more than 30% of the total number of cleaned examples. FIM-based approaches outperform the LISSA estimator. FIM, which is difficult to store and invert. Figure 3 shows the results of the evaluation of Top Fisher, Practical Fisher and nearest neighbor (NN). As reported in the main text, Practical Fisher lags behind Top Fisher in all cases.

We tackle sequential learning under label noise in applications where a human supervisor can be queried to relabel suspicious examples.

With1 , Err(bY(bT)) =O Vd log (n /d) n + log ( 1/ ) n .

This same algorithm can then be used to reconstruct the true DAGGfrom the true ordering . Once the ordering is known, existing nonlinear variable selection methods [4, 11, 16, 25, 28, 46] suffice to learn the parent setspa(j)and hence the graphG. In our experiments, we use exactly this procedure to learnGfrom the order, based on the data. There are two cases: (i)Bj =, and (ii)Bj 6= . If instead we haveσ23 = var(z3) = 1/3, the condition would be violated.

Instead, we impose a condition on the residual variances that is closely related to previous work on linear models with equal variances.

This "inconsistency" of the encoder lowers the quality of the learned representations,

The spectacular success ofdeep generativemodels calls forquantitativetools to measure their statistical performance. Divergence frontiers have recently been proposed as an evaluation framework for generative models, due to their ability to measure the quality-diversity trade-off inherent to deep generative modeling. We establish non-asymptotic bounds on the sample complexity of divergence frontiers.