Deep learning-driven gravitational wave and radio cosmology research: New opportunities in the era of precision cosmology

<p indent="0mm">Cosmology, as a scientific discipline exploring the origin, structure, and evolution of the universe, has recently encountered new developmental opportunities. The emergence of novel cosmological probes, such as gravitational waves, neutral hydrogen <sc>21 cm</sc> radiation, and fast radio bursts, has provided unprecedented opportunities to address major cosmological challenges. However, the practical application of these emerging probes still faces numerous technical hurdles. Deep learning technology, with its powerful capabilities in data processing and signal extraction, is becoming a key tool to overcome these challenges. This study discusses the current applications, technical challenges, and future prospects of deep learning in gravitational wave and radio cosmology, emphasizing its critical role in the era of precision cosmology.