Periodic Reporting for period 2 - HYPATIA (Privacy and Utility Allied)
Periodo di rendicontazione: 2021-04-01 al 2022-09-30
The objective of this project is to develop the theoretical foundations, methods and tools to protect the privacy of the individuals while letting their data to be collected and used for statistical purposes. We aim in particular at developing mechanisms that can be applied and controlled directly by the user thus avoiding the need of a trusted party, are robust with respect to combination of information from different sources, and provide an optimal trade-off between privacy and utility.
1) We have advanced towards the development of a framework for designing optimal privacy mechanisms. In particular, we have effectuated a study of the refinement relation between various mechanisms, based on their information leakage. Furthermore, we have developed a logical characterization of d-privacy, a variant of differential privacy.
2) We have developed a method for the reconstruction of the original distribution from individually sanitized data collections. This method, which we call Generalised Bayesian Update, is based on the statistical Expectation-Maximization principle and it allows different individuals to use different sanitization mechanisms. We have experimented with the k-Randomized-Response and the Geometric mechanisms, validating the method from both the correctness and the performance standpoints.
3) We have developed a method, called MILES, for the black-box measurement of information leakage via machine learning. Based on this method, we have also developed a tool publicly available. Furthermore, we have developed a method based on the machine learning paradigm of the Generative Adversarial Networks (GAN) to compute an approximation of an optimal obfuscation mechanism.