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A Appendix A531A.1 Detailed explanation of continuous nature of similarity

Neural Information Processing Systems

In this section, we expand on our observation that similarity between training samples is not binary. Consider the images shown in Figure 6. As a consequence, any similarity between the anchor image and the so-called'negative' examples is completely ignored. Further, all'positive' examples are considered to be The batch size is set to 16000. We train on 4 A100 GPUs.


A Detailed Proof 1 A.1 Proof of Theorem 4.1

Neural Information Processing Systems

We can compute the fixed point of the recursion in Equation A.2 and get the following estimated Then we compare these two gaps. To utilize the Eq. 4 for policy optimization, following the analysis in the Section 3.2 in Kumar et al. By choosing different regularizer, there are a variety of instances within CQL family. B.36 called CFCQL( H) which is the update rule we used: In discrete action space, we train a three-level MLP network with MLE loss. In continuous action space, we use the method of explicit estimation of behavior density in Wu et al.