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Trajectory-Aware Information Matching for Multi-Step Grad...
[Submitted on 26 Sep 2025 (v1), last revised 5 Jul 2026 (this ve · 2025-09-26 · via cs.LG updates on arXiv.org

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Abstract:Federated learning enables distributed information sharing and collaborative model training without exposing raw client data. However, shared gradients or model updates may still contain sensitive information, making federated learning vulnerable to gradient inversion attacks. Most existing gradient inversion attacks rely on simplified update observations, such as single-step gradients or endpoint-based matching. In practical FL, however, FedAvg produces an accumulated trajectory-dependent update after multiple local steps, rather than a gradient computed at a single model this http URL address this issue, we propose NL-SME, a trajectory-aware information matching method for multi-step gradient inversion. NL-SME constructs a learnable nonlinear surrogate trajectory to approximate hidden local states and integrates trajectory-level information with calibrated gradient matching. For perturbed updates, NL-SME can further use an observed-update reliability-aware strategy to reduce the influence of unreliable components. Extensive experiments under diverse multi-step FedAvg settings show that NL-SME outperforms state-of-the-art gradient inversion baselines in reconstruction quality and update-matching accuracy. Additional evaluations on natural and medical images, as well as under fused-update observations and representative defense strategies, further suggest that observable multi-step updates may still retain reconstruction signals. These results reveal potential privacy leakage risks in federated information sharing. Code is available at this https URL.

Submission history

From: Li Xia [view email]
[v1] Fri, 26 Sep 2025 09:04:25 UTC (5,861 KB)
[v2] Mon, 15 Dec 2025 06:52:47 UTC (8,670 KB)
[v3] Sun, 5 Jul 2026 17:28:28 UTC (6,136 KB)