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Cascading Gradient Inversion via LT-Code Inspired Peeling in Federated Learning

arxiv.org/abs/2609.09659

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Updated 2 h ago · first seen 11 Sept 2026

paper_01M294GMGRMX52S88E99SDRSJM

Published
11 Sept 2026
T1 · 2 h ago
arXiv
2609.09659
T1 · 2 h ago
Category
cs.LG
T1 · 2 h ago

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Claim history for Abstract
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Federated learning shares model updates rather than raw data, yet these updates can be inverted to reconstruct the clients' training data. Analytic reconstruction attacks, which invert a gradient in closed form, degrade as the batch grows: prior single-round attacks recover only about half of a batch of size $100$ even when the attacker fully controls the network parameters, and known upper bounds limit what any such method can recover. We establish a connection between gradient inversion and the theory of erasure-correcting codes, and use it to construct attacks that exceed these bounds. Our attacks recover batches exactly, together with every sample's label, from a single FedSGD round, and certify each recovery without ground-truth data. On eight image and tabular benchmarks they outperform prior single-round attacks by a wide margin. Even a passive attacker who only observes an honestly trained network recovers $94$--$100\%$ of ImageNet batches at sizes up to $128$, more than prior single-round attacks achieve even with active manipulation of the model, and in the active setting more than $90\%$ is recovered at batch sizes of several hundred. These results show that the privacy leakage of federated learning has been underestimated.currentcurrentarXiv (Atom API + RSS)T1highdeterministic

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