학술논문

Field-Level Inference with Microcanonical Langevin Monte Carlo
Document Type
Working Paper
Source
Subject
Astrophysics - Cosmology and Nongalactic Astrophysics
Astrophysics - Instrumentation and Methods for Astrophysics
Physics - Data Analysis, Statistics and Probability
Statistics - Computation
Statistics - Methodology
Language
Abstract
Field-level inference provides a means to optimally extract information from upcoming cosmological surveys, but requires efficient sampling of a high-dimensional parameter space. This work applies Microcanonical Langevin Monte Carlo (MCLMC) to sample the initial conditions of the Universe, as well as the cosmological parameters $\sigma_8$ and $\Omega_m$, from simulations of cosmic structure. MCLMC is shown to be over an order of magnitude more efficient than traditional Hamiltonian Monte Carlo (HMC) for a $\sim 2.6 \times 10^5$ dimensional problem. Moreover, the efficiency of MCLMC compared to HMC greatly increases as the dimensionality increases, suggesting gains of many orders of magnitude for the dimensionalities required by upcoming cosmological surveys.
Comment: Accepted at the ICML 2023 Workshop on Machine Learning for Astrophysics. 4 pages, 4 figures