Unpaired Downscaling of Fluid Flows with Diffusion Bridges

Understand

We present a method to downscale idealized geophysical fluid simulations using generative models based on diffusion maps.

• By analyzing the Fourier spectra of images drawn from different data distributions, we show how one can chain together two independent conditional diffusion models for use in domain translation.
• The resulting transformation is a diffusion bridge between a low resolution and a high resolution dataset and allows for new sample generation of high-resolution images given specific low resolution features.
• The ability to generate new samples allows for the computation of any statistic of interest, without any additional calibration or training.