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Fast and Credible Likelihood-Free Cosmology with Truncated Marginal Neural Ratio Estimation. (arXiv:2111.08030v2 [astro-ph.CO] UPDATED)
Nov. 9, 2022, 2:12 a.m. | Alex Cole, Benjamin Kurt Miller, Samuel J. Witte, Maxwell X. Cai, Meiert W. Grootes, Francesco Nattino, Christoph Weniger
cs.LG updates on arXiv.org arxiv.org
Sampling-based inference techniques are central to modern cosmological data
analysis; these methods, however, scale poorly with dimensionality and
typically require approximate or intractable likelihoods. In this paper we
describe how Truncated Marginal Neural Ratio Estimation (TMNRE) (a new approach
in so-called simulation-based inference) naturally evades these issues,
improving the $(i)$ efficiency, $(ii)$ scalability, and $(iii)$ trustworthiness
of the inferred posteriors. Using measurements of the Cosmic Microwave
Background (CMB), we show that TMNRE can achieve converged posteriors using
orders of magnitude …
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