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A Speculative GLRT-Backed Approach for Robust Deep Learni...
[Submitted on 10 Dec 2025 (v1), last revised 9 Aug 2026 (this ve · 2025-12-11 · via eess.SP updates on arXiv.org

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Abstract:Deep learning (DL) has recently emerged as an efficient approach for array processing tasks such as signal detection and direction of arrival. However, DL models lack statistical guarantees and, moreover, are highly susceptible to adversarial interference, raising security concerns about their reliability in adversarial wireless environments. In this letter, we first show that second-order statistics of the received array are spatially robust to L-p bounded adversarial perturbations. Then, motivated by this theoretical result, we develop an adversarially resilient speculative array processing framework that consists of a low-latency DL classifier backed by a theoretically-grounded generalized likelihood ratio test (GLRT) validator, which operates on the spatial domain of the array, where DL is used for fast speculative inference and later confirmed with the GLRT. Empirical evaluations under multiple L-p bounds, perturbation designs, and perturbation magnitudes corroborate our proposed framework and theoretical findings, demonstrating the superior performance of our proposed approach in comparison to multiple state-of-the-art baselines.

Submission history

From: Rajeev Sahay [view email]
[v1] Wed, 10 Dec 2025 18:19:44 UTC (1,173 KB)
[v2] Wed, 6 May 2026 20:23:35 UTC (1,090 KB)
[v3] Sun, 9 Aug 2026 01:04:45 UTC (1,084 KB)