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Sketching for First Order Method: Efficient Algorithm for Low-Bandwidth Channel and Vulnerability

ICML 2023 · Federated learning and privacy › Communication-efficient FL · approach: Decentralized peer-to-peer training · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply iterative sketching and de-sketching to local gradient updatesFederated learning with strongly-convex smooth objectives · Strongly-convex smooth federated learningexpected suboptimality: \frac{L}{2}\E[\|w^0-w^*\|_2^2]e^{-\mu\eta_{\mathrm{local}} T} + 4\eta_{\mathrm{local}}^2 L^2 K^3\sigma^2/\muHelped
Communicate sketched local updates instead of full-dimensional updatesIterativeSketchingFL · Strongly-convex smooth federated learningcommunication cost: O( ({LN}/{\mu}) \max\{d, \sqrt{{\sigma^2}/{(\mu\epsilon)}}\}\log({L\E[\|w^0 - w^*\|_2^2]}/{\epsilon})) bits of communicaHelped
Apply iterative sketching and de-sketching to local gradient updatesFederated learning with convex smooth objectives · Convex smooth federated learningexpected suboptimality: \frac{4\E[\|w^0 - w^*\|_2^2]}{\eta_{\mathrm{local}} K T } + 32\eta_{\mathrm{local}}^2 L K^2 \sigma^2Helped
Communicate sketched local updates instead of full-dimensional updatesIterativeSketchingFL · Convex smooth federated learningcommunication cost: O(\E[\|w^0-w^*\|_2^2]N \max\{{Ld}/{\epsilon}, {\sigma\sqrt{ L}}/{\epsilon^{3/2}}\}) vs O\left(\E[\|w^0-w^*\|_2^2]Nd \cdoHelped
Add Gaussian noise to local stochastic gradientsIterativeSketchingFL · Private federated learningdifferential privacy: \epsilon_{\mathrm{DP}} = \sqrt{TK}\cdot \widehat \epsilon, ~~~\delta_{\mathrm{DP}} = TK\cdot \widehat \deltaHelped
Use sketching without additional privacy noiseFederated learning gradient communication · Sketched gradient leakage attackattack feasibilityNo clear effect

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