In this work, we present a federated version of the state-of-the-art Neural Collaborative Filtering (NCF) approach for item recommendations. The system, named FedNCF, enables learning without requiring users to disclose or transmit their raw data. Data localization preserves data privacy and complies with regulations such as GDPR. Although model training local dissemination, transmission client...

We give a tutorial exposition of the analogue filtering equation for quantum systems focusing on probabilistic framework and developing ideas from classical theory. Quantum covariances conditional expectations von Neumann algebras play an essential part in presentation.