This bears a slight resemblance to Nasr, Carlini et al’s “Divergence attack” for extracting memorized phrases from production models:
Initially, it repeats the word “poem” several hundred times, but eventually it diverges. Once the model diverges, its generations are often nonsensical. But, we show that a small fraction of generations diverge to memorization: some generations are copied directly from the pre-training data!
Section 5.2 here: https://arxiv.org/abs/2311.17035
In regular finetuning, always training it to produce often strongly biases it toward . Perhaps this similarly happens with ACT/BCT? (On all remaining inputs, ACT/BCT finetune it to produce , or to match its activations in the latter). Then, possibly much of the effect of RMCT is not the specific rate but the result of mixing in some non- ?