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Privately Learning Markov Random Fields

ICML 2020 · Federated learning and privacy › Differential privacy · approach: Private online and user-level learning · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply approximate DP rather than no privacy to structure learningIsing model structure learning · Ising modelsample complexity dependence on p: Θ(log{p}) -> Θ(log{p})No clear effect
Apply approximate DP to parameter learningIsing model parameter learning · Ising modelsample complexity dependence on p: Θ(log{p}) -> Θ(√p)Hurt
Tighten privacy from approximate DP to zero-concentrated DP for structure learningIsing model structure learning · Ising modelsample complexity dependence on p: Θ(log{p}) -> Θ(√p)Hurt
Tighten privacy from zero-concentrated DP to pure DP for structure learningIsing model structure learning · Ising modelsample complexity dependence on p: Θ(√p) -> Ω(p)Hurt
Use private parameter learning instead of structure learningApproximate-DP Ising model learning · Ising modelsample complexity dependence on p: Θ(log{p}) -> Θ(√p)Hurt
Replace PMW with sepFEM for parity-query releaseBinary t-wise MRF maximal-monomial learning · Binary t-wise MRFsample complexity dependence on p in the parity-query term: √p -> p^{5/4}Hurt
Use sepFEM instead of PMW for parity-query releaseBinary t-wise MRF maximal-monomial learning · Binary t-wise MRFruntime: exponential in p -> polynomial timeHelped

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