  The paper reflects on the future role of AI in scientific research, with a
special focus on turbulence studies, and examines the evolution of AI,
particularly through Diffusion Models rooted in non-equilibrium statistical
mechanics. It underscores the significant impact of AI on advancing reduced,
Lagrangian models of turbulence through innovative use of deep neural networks.
Additionally, the paper reviews various other AI applications in turbulence
research and outlines potential challenges and opportunities in the concurrent
advancement of AI and statistical hydrodynamics. This discussion sets the stage
for a future where AI and turbulence research are intricately intertwined,
leading to more profound insights and advancements in both fields.
