Decentralized diffusion-based learning under non-parametric limited prior knowledge

Paweł Wachel; Krzysztof Kowalczyk; Cristian R. Rojas

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arXiv · 2305.03295

Decentralized diffusion-based learning under non-parametric limited prior knowledge

Paweł Wachel·Krzysztof Kowalczyk·Cristian R. Rojas

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Abstract

We study the problem of diffusion-based network learning of a nonlinear phenomenon, $m$, from local agents' measurements collected in a noisy environment. For a decentralized network and information spreading merely between directly neighboring nodes, we propose a non-parametric learning algorithm, that avoids raw data exchange and requires only mild \textit{a priori} knowledge about $m$. Non-asymptotic estimation error bounds are derived for the proposed method. Its potential applications are illustrated through simulation experiments.

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Paweł Wachel, Krzysztof Kowalczyk, Cristian R. Rojas. 2023-05-05. Decentralized diffusion-based learning under non-parametric limited prior knowledge. https://arxiv.org/abs/2305.03295

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