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Data-dependent PAC-Bayes priors via differential privacy

NeurIPS 2018 · Federated learning and privacy › Differential privacy · approach: Private online and user-level learning · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a private data-dependent Gaussian prior instead of the data-independent prior in the Lever PAC-Bayes boundTwo-stage SGLD on MNIST · MNIST testPAC-Bayes bound: 0.21 vs 0.26Helped
Use a private data-dependent Gaussian prior instead of the data-independent prior in the Lever PAC-Bayes boundTwo-stage SGLD on MNIST · MNIST testPAC-Bayes bound: 0.35 vs 1Helped
Use a private data-dependent Gaussian prior instead of the data-independent prior in the Lever PAC-Bayes boundTwo-stage SGLD on MNIST · MNIST testPAC-Bayes bound: 0.65 vs 1Helped
Increase the second-stage inverse temperature to 3*10^5Two-stage SGLD with DP PAC-Bayes bound · MNIST testPAC-Bayes bound: 1 vs 1No clear effect
Increase the second-stage inverse temperature from 3*10^3 to 3*10^5Two-stage SGLD · MNIST test0-1 error: 0.12 -> 4Hurt

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