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Making these algorithms work for LLMs

If we run these algorithms “out-of-the-box” for LLMs, things go badly. So, we came up with optimizations to the algorithms that fix the key issues with running them “out-of-the-box”.

For ELS, we had to go from example-level DP guarantees to user-level DP guarantees. We found that previous work was adding orders of magnitude more noise than was actually necessary. We were able to prove that we can add significantly less noise, making the model much better while retaining the same privacy guarantees.

For both ELS and ULS, we had to figure out how to optimize the contribution bound. A “default” choice is to choose a contribution bound that every user already satisfies; that is, we don’t do any pre-processing. However, some users may contribute a large amount of data, and we will need to add large amounts of noise to provide privacy to these users. Setting a smaller contribution bound reduces the amount of noise we need to add, but the cost is having to discard a lot of data. Because LLM training runs are expensive, we can’t afford to try training a bunch of models with different contribution bounds and pick the best one — we need an effective strategy to pick the contribution bound before we start training.

After lengthy experimentation at scale, for ELS we found that setting the contribution bound to be the median number of examples held by each user was an effective strategy. For ULS, we give a prediction for the total noise added as a function of the contribution bound, and found that choosing the contribution bound minimizing this prediction was an effective strategy.

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