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However, their algorithm requires exponential time complexities. Our algorithm builds upon two DP primitive: Gaussian mechanism and private histogram. These are used to get the clipping thresholds in Alg. 1. The norm estimator is similar and is provided in App. Private distance estimation using private trimmed mean.

We study the generalization performance of full-batch optimization algorithms for stochastic convex optimization: these are first-order methods that only access the exact gradient of the empirical risk (rather than gradients with respect to individual data points), that include a wide range of algorithms such as gradient descent, mirror descent, and their regularized and/or accelerated variants.

Clustering is an important technique for identifying structural information in large-scale data analysis, where the underlying dataset may be too large to store.

When such outliers occur at the end of the data stream, this can cause the final solution to have unexpectedly low accuracy.