How Does Google AI’s New Paradigm Eliminate the Composition Cost in …

In today’s data-driven landscape, ensuring privacy while maximizing the utility of machine learning and data analytics algorithms has been a pressing challenge. The cost of composition, a phenomenon where the overall privacy guarantee deteriorates with multiple computation steps, has been a significant stumbling block. Despite strides in foundational research and the adoption of differential privacy, striking the right balance between privacy and utility has remained elusive.

Existing approaches like DP-SGD have made strides in preserving privacy during machine learning model training. However, they rely on random partitioning of training examples into minibatches, which limits their effectiveness in scenarios where data-dependent selection is needed.

Meet the Reorder-Slice-Compute (RSC) paradigm, a groundbreaking development presented at STOC 2023. This innovative framework offers a solution that allows for adaptive slice selection and circumvents the composition cost. By adhering to a specific structure involving ordered data points, slice size, and a differential privacy algorithm, the RSC paradigm opens up new avenues for enhancing utility without compromising privacy.

Metrics from extensive research and experimentation demonstrate the power of the RSC paradigm. Unlike traditional approaches, the RSC analysis eliminates the dependence on the number of steps, resulting in an overall privacy guarantee comparable to that of a single step. This breakthrough significantly improves the utility of DP algorithms for a range of fundamental aggregation and learning tasks.

One standout application of the RSC paradigm lies in solving the private interval point problem. By intelligently selecting slices and leveraging a novel analysis, the RSC algorithm achieves privacy-preserving solutions with an order of log*|X| points, closing a significant gap in prior DP algorithms.

The RSC paradigm also addresses common aggregation tasks like private approximate median and private learning of axis-aligned rectangles. By employing a sequence of RSC steps tailored to the specific problem, the algorithm limits mislabeled points, offering accurate and private results.

Furthermore, the RSC paradigm offers a game-changing approach to ML model training. By allowing for data-dependent selection order of training examples, it seamlessly integrates with DP-SGD, eliminating the privacy deterioration associated with composition. This advancement is poised to revolutionize training efficiency in production environments.

In conclusion, the Reorder-Slice-Compute (RSC) paradigm is a transformative solution to the longstanding challenge of balancing privacy and utility in data-driven environments. Its unique structure and novel analysis promise to unlock new possibilities in various aggregation and learning tasks. The RSC paradigm paves the way for more efficient and privacy-preserving machine learning model training by eliminating the composition cost. This paradigm shift marks a pivotal moment in the pursuit of robust data privacy in the era of big data.

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