Privacy-preserving decentralized memory for federated learning (aka secure MPC)
summary
Describes a construction that uses the discrete Fourier transform to produce Shamir shares and fresh beaver triples for multiplication without cryptographic assumptions beyond private channels, targeting large n. Conjectures generation costs scale at soft-o(n) messages total, while privacy resists coalitions of size Θ(n) with a weighted-node grouping and expander-based routing; notes beaver triples must be fresh, current method skips oblivious transfer, and Byzantine reliability remains open.
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chapters (16)
- 0:00Introduction
- 1:10Secret sharing basics
- 3:00Computing sums with shares
- 4:27Multiplication core
- 6:11Secure MPC overview
- 8:25Federated learning apps
- 9:53Multiplication with Beaver triples
- 14:44Shamir secret sharing
- 17:00Beaver triple cost and reuse
- 19:54Avoiding crypto assumptions
- 20:41FFT for secret sharing
- 22:16Naive Beaver triple creation
- 24:34Revealing secrets
- 25:40Hardening nodes
- 27:15Conclusion
- 28:18Q&A
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