AKRA 3.0 uses conjugate gradient to solve the normal equations for weak lensing mass mapping, producing the highest-resolution DES Y3 convergence map to date and demonstrating unbiased power spectra extracted directly from the map.
Power spectrum estimation from high-resolution maps by Gibbs sampling
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abstract
We revisit a recently introduced power spectrum estimation technique based on Gibbs sampling, with the goal of applying it to the high-resolution WMAP data. In order to facilitate this analysis, a number of sophistications have to be introduced, each of which is discussed in detail. We have implemented two independent versions of the algorithm to cross-check the computer codes, and to verify that a particular solution to any given problem does not affect the scientific results. We then apply these programs to simulated data with known properties at intermediate (N_side = 128) and high (N_side = 512) resolutions, to study effects such as incomplete sky coverage and white vs. correlated noise. From these simulations we also establish the Markov chain correlation length as a function of signal-to-noise ratio, and give a few comments on the properties of the correlation matrices involved. Parallelization issues are also discussed, with emphasis on real-world limitations imposed by current super-computer facilities. The scientific results from the analysis of the first-year WMAP data are presented in a companion letter.
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2026 2verdicts
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The authors produce a new all-sky Galactic emission model with synchrotron amplitude at 4.76 GHz roughly twice the Planck 2015 value, derived via Commander fitting to recent radio and microwave surveys.
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All-sky modeling of Galactic emission at radio and microwave frequencies
The authors produce a new all-sky Galactic emission model with synchrotron amplitude at 4.76 GHz roughly twice the Planck 2015 value, derived via Commander fitting to recent radio and microwave surveys.