Latent variable models (LVMs) provide an elegant, efficient, and interpretable approach to learning the generation process of observed data. Latent variables can capture salient features within often highly-correlated data, forming powerful tools in machine learning.
For high-dimensional data, LVMs are typically parameterised by deep neural networks, and trained by maximising a variational lower bound on the data log likelihood. These models often suffer from poor use of their latent variable, with ad-hoc annealing factors used to encourage retention of information in the latent variable. In this work, we first introduce a novel approach to latent variable modelling, based on an objective that encourages both data reconstruction and generation. This ensures by design that the latent representations capture information about the data.
Second, we consider a novel approach to inducing local differential privacy (LDP) in high dimensions with a specifically-designed LVM. LDP offers a rigorous approach to preserving one’s privacy against both adversaries and the database administrator. Existing LDP mechanisms struggle to retain data utility in high dimensions owing to prohibitive noise requirements. We circumvent this by inducing LDP on the low- dimensional manifold underlying the data. Further, we introduce a novel approach for downstream model learning using LDP training data, enabling the training of performant machine learning models. We achieve significant performance gains over current state-of-the-art LDP mechanisms, demonstrating far-reaching implications for the widespread practice of data collection and sharing.
Finally, we scale up this approach, adapting current state-of-the-art representation learning models to induce LDP in even higher-dimensions, further widening the scope of LDP mechanisms for high-dimensional data collection.