arXiv Machine Learning By Seyed Mohammad Azimi-Abarghouyi

Out-of-Air Computation: Enabling Structured Function Extraction from Wireless Superposition

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The paper introduces AirCPU, an extraction‑oriented approach to over‑the‑air computation that uses joint source‑channel coding and a multi‑layer nested lattice architecture to create a structured wireless superposition. Unlike traditional embedding‑oriented designs, AirCPU operates directly on continuous device data, avoiding separate quantization and enabling progressive resolution through hierarchically scaled components transmitted over a bounded digital constellation. The authors formalize decoupled resolution, showing that with low decoding error probability, channel noise and constellation limits have negligible distortion, and they extend the method to fading MACs with collective, successive, and direct computation mechanisms to broaden the reliable operating regime.

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