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Certifiably Robust Model Evaluation in Federated Learning under Meta-Distributional Shifts

ICML 2025 · Federated learning and privacy › Differential privacy · approach: Private online and user-level learning · 0 citations (OpenAlex)

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Certifies performance of a federated model on unseen networks under f-divergence or Wasserstein meta-distributional shifts, using only server-side queries of local (robust) losses and a robust DKW inequality.

Problem

Certifying a federated learning model's average loss and risk CDF on an unseen target network whose client-distribution meta-distribution differs from the source by a bounded f-divergence or Wasserstein shift, without accessing client data.

Approach

Extends the DKW inequality and Glivenko-Cantelli theorem to adversarial (meta-distributionally robust) settings by reweighting client loss values with coefficients constrained near uniform for f-divergence shifts, and by querying local Wasserstein-adversarial losses with per-client radii for Wasserstein shifts; bounds are convex/quasi-convex server-side programs with vanishing gaps.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
use chi-square or KL f-divergence robust CDF certificatesproposed evaluation method · CIFAR-10 resolution and color shiftsrisk CDF certificate tightnessHelped
use Wasserstein robust certificatesproposed evaluation method · affine distribution shiftscertificate validityHelped
extend the Wasserstein framework to risk CDF certificationproposed evaluation method · Wasserstein-type shiftsrisk CDF certificate validityHelped

Limitations

Experimental setup

Datasets: CIFAR-10 SVHN EMNIST ImageNet

Benchmarks: CIFAR-10 SVHN EMNIST ImageNet

Metrics: risk CDF bound tightness average loss bound

Baselines: MMD-based bound vanilla DKW bound

Builds on: DKW inequality Glivenko-Cantelli theorem distributionally robust optimization McDiarmid inequality

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