Supplementary materials for " Federated Expectation Maximization with heterogeneity mitigation and variance reduction "

This supplementary material is organized as follows. Appendix A extends the results obtained in Theorem 1 to the Partial Participation regime. Appendix B contains additional details on compression mechanisms satisfying A 6, including an example of admissible quantization operator. Appendix C contains the pseudo-code for algorithm FedEM in the full participation regime case, and the proof of Theorem 1 - including necessary technical lemmas. Appendix D contains details concerning the extension to partial participation of the workers and the proof of Theorem 4 .