PolarZero: A Reinforcement Learning Approach for Low-Complexity Polarization Kernel Design

Fuente: arXiv
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Autori principali: Hong, Yi-Ting, Rini, Stefano, Barletta, Luca
Natura: Preprint
Pubblicazione: 2025
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author Hong, Yi-Ting
Rini, Stefano
Barletta, Luca
author_facet Hong, Yi-Ting
Rini, Stefano
Barletta, Luca
contents Polar codes with large kernels can achieve improved error exponents but are challenging to design with low decoding complexity. This work investigates kernel construction under recursive maximum likelihood decoding (RMLD) using a reinforcement learning framework based on the Gumbel AlphaZero algorithm. The proposed method efficiently explores the design space and identifies large-size kernels that satisfy a given error exponent while minimizing decoding complexity. For a size-16 kernel, it achieves 17% lower decoding complexity than handcrafted designs while reaching an error exponent of 0.5183 compared to 0.5 for Arikan's kernel, demonstrating the effectiveness of the learning-based approach for practical polar code construction.
format Preprint
id arxiv_https___arxiv_org_abs_2510_26452
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle PolarZero: A Reinforcement Learning Approach for Low-Complexity Polarization Kernel Design
Hong, Yi-Ting
Rini, Stefano
Barletta, Luca
Information Theory
Polar codes with large kernels can achieve improved error exponents but are challenging to design with low decoding complexity. This work investigates kernel construction under recursive maximum likelihood decoding (RMLD) using a reinforcement learning framework based on the Gumbel AlphaZero algorithm. The proposed method efficiently explores the design space and identifies large-size kernels that satisfy a given error exponent while minimizing decoding complexity. For a size-16 kernel, it achieves 17% lower decoding complexity than handcrafted designs while reaching an error exponent of 0.5183 compared to 0.5 for Arikan's kernel, demonstrating the effectiveness of the learning-based approach for practical polar code construction.
title PolarZero: A Reinforcement Learning Approach for Low-Complexity Polarization Kernel Design
topic Information Theory
url https://arxiv.org/abs/2510.26452