Research map / Federated learning and privacy / Differential privacy
On Sparse Linear Regression in the Local Differential Privacy Model
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Keep labels-only privacy (Label-LDP-IHT) instead of whole-dataset LDP | Sparse linear regression under LDP · Synthetic data, varying dimensionality p | relative error ||θ_T-θ*||/||θ*|| | No clear effect |
| Increase privacy parameter epsilon (weaker privacy) | Label-LDP-IHT · Synthetic data, varying privacy level | relative error | Helped |
| Increase sparsity level s* | l0-constrained logistic regression DP-IHT · Covertype | optimality gap | Hurt |
| Decrease privacy parameter epsilon (stronger privacy) | DP-IHT logistic regression · Covertype | optimality gap | Hurt |
| Increase dimensionality p with fixed s and epsilon | DP-IHT logistic regression · Covertype | optimality gap | No clear effect |
| Label-privacy version (Label-LDP-IHT) vs whole-dataset privacy: error logarithmic vs polynomial in p | Sparse linear regression under LDP · theory | estimation error dependence on p | Helped |
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