A single unconditioned diffusion model plus a rescaled Diffusion Posterior Sampling step reconstructs weak lensing mass maps whose power spectra and non-Gaussian statistics match the simulations.
Super-resolution emulator of cosmological simulations using deep physical models
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abstract
We present an extension of our recently developed Wasserstein optimized model to emulate accurate high-resolution features from computationally cheaper low-resolution cosmological simulations. Our deep physical modelling technique relies on restricted neural networks to perform a mapping of the distribution of the low-resolution cosmic density field to the space of the high-resolution small-scale structures. We constrain our network using a single triplet of high-resolution initial conditions and the corresponding low- and high-resolution evolved dark matter simulations from the Quijote suite of simulations. We exploit the information content of the high-resolution initial conditions as a well constructed prior distribution from which the network emulates the small-scale structures. Once fitted, our physical model yields emulated high-resolution simulations at low computational cost, while also providing some insights about how the large-scale modes affect the small-scale structure in real space.
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Diffusion-based mass map reconstruction from weak lensing data
A single unconditioned diffusion model plus a rescaled Diffusion Posterior Sampling step reconstructs weak lensing mass maps whose power spectra and non-Gaussian statistics match the simulations.