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Neural Information Processing Systems 

We thank the reviewers for their very constructive feedback! In contrast, our method's gradient is: Put simply, Kiryo et al. stop optimizing Empirically, we find that this "soft-constraint" approach to implausible negative risk yields comparable or better models We also show in the supplementals (e.g., Sec. PU learning work (including Kiryo et al. in their nnPU paper), which uses neural networks. However, our experiments show that PUc's biggest limitation is not its representation: On unshifted data (Table 1 row 1 On shifted data (Tab. 1 's performance degrades while our methods' performance improves. We will add a "Discussion" subsection to the paper's "Experimental Results" (Sec.

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