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We analyse the privacy leakage of noisy stochastic gradient descent by modeling R\'enyi divergence dynamics with Langevin diffusions.
Analytic Inequalities , volume 1
Mitrinovic, D. S. and Vasic, P. M · 1970
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Logarithmic Sobolev inequalities
Gross, L · 1975
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Multinomial logistic regression algorithm
Böhning, D · 1992
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Sparse multinomial logistic regression: Fast algorithms and generalization bounds
Krishnapuram, B., Carin, L., Figueiredo, M. A., and Hartemink, A. J · 2005
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Boosting and differential privacy
Dwork, C., Rothblum, G. N., and Vadhan, S · 2010
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Bayesian learning via stochastic gradient Langevin dynamics
Welling, M. and Teh, Y. W · 2011
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Imagenet classification with deep convolutional neural networks
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A stochastic gradient method with an exponential convergence rate for finite training sets
Roux, N., Schmidt, M., and Bach, F · 2012
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Differentially private learning needs better features (or much more data)
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FALCON: Honest-Majority Maliciously Secure Framework for Private Deep Learning
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Shokri, R., Stronati, M., Song, C., and Shmatikov, V · 2017
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Yousefpour, A., Shilov, I., Sablayrolles, A., Testuggine, D., Prasad, K., Malek, M., Nguyen, J., Ghosh, S., Bharadwaj, A., Zhao, J., Cormode, G., and Mironov, I · 2021
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Ariann: Low-interaction privacy-preserving deep learning via function secret sharing
Ryffel, T., Tholoniat, P., Pointcheval, D., and Bach, F · 2022
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