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Privacy concerns in federated learning (FL) are commonly addressed with secure aggregation schemes that prevent a central party from observing plaintext client updates. However, most such schemes neglect orthogonal FL research that aims at reducing communication between clients and the aggregator and is instrumental in facilitating cross-device FL with thousands and even millions of (mobile) participants. In particular, quantization techniques can typically reduce client-server communication by a factor of 32x. In this paper, we unite both research directions by introducing an efficient secure aggregation framework based on outsourced multi-party computation (MPC) that supports any linear quantization scheme. Specifically, we design a novel approximate version of an MPC-based secure aggregation protocol with support for multiple stochastic quantization schemes, including ones that utilize the randomized Hadamard transform and Kashin's representation. In our empirical performance evaluation, we show that with no additional overhead for clients and moderate inter-server communication, we achieve similar training accuracy as insecure schemes for standard FL benchmarks. Beyond this, we present an efficient extension to our secure quantized aggregation framework that effectively defends against state-of-the-art untargeted poisoning attacks.
