Reinforcement Learning-Aided Design of Efficient Polarization Kernels

Fuente: arXiv
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Auteurs principaux: Hong, Yi-Ting, Rini, Stefano, Barletta, Luca
Format: Preprint
Publié: 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 achieve optimal error exponents but are difficult to construct when low decoding complexity is also required. We address this challenge under recursive maximum likelihood decoding (RMLD) using a rein-forcement learning approach based on the Gumbel AlphaZero algorithm. The resulting method, PolarZero, consistently matches exhaustive search in identifying low-complexity kernels, and discovers a size-16 kernel with complexity comparable to handcrafted designs. Our results suggest that PolarZero is a scalable tool for large-kernel design, where brute-force search is no longer feasible.
format Preprint
id arxiv_https___arxiv_org_abs_2505_04127
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Reinforcement Learning-Aided Design of Efficient Polarization Kernels
Hong, Yi-Ting
Rini, Stefano
Barletta, Luca
Information Theory
Polar codes with large kernels achieve optimal error exponents but are difficult to construct when low decoding complexity is also required. We address this challenge under recursive maximum likelihood decoding (RMLD) using a rein-forcement learning approach based on the Gumbel AlphaZero algorithm. The resulting method, PolarZero, consistently matches exhaustive search in identifying low-complexity kernels, and discovers a size-16 kernel with complexity comparable to handcrafted designs. Our results suggest that PolarZero is a scalable tool for large-kernel design, where brute-force search is no longer feasible.
title Reinforcement Learning-Aided Design of Efficient Polarization Kernels
topic Information Theory
url https://arxiv.org/abs/2505.04127