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Power-counting renormalizable, ghost-and-tachyon-free Poincaré gauge theories
Yun-Cherng Lin, Michael P. Hobson, Anthony N. Lasenby
We present 48 further examples, in addition to the 10 identified in [1], of ghost-and-tachyon-free critical cases of parity-conserving Poincaré gauge theories of gravity (PGT)…
Bayesian posterior repartitioning for nested sampling
Xi Chen, Farhan Feroz, Michael Hobson
Priors in Bayesian analyses often encode informative domain knowledge that can be useful in making the inference process more efficient. Occasionally, however, priors may be unrepr…
Bayesian inflationary reconstructions from Planck 2018 data
Will J. Handley, Anthony N. Lasenby, Hiranya V. Peiris +1
We present three non-parametric Bayesian primordial reconstructions using Planck 2018 polarization data: linear spline primordial power spectrum reconstructions, cubic spline infla…
An efficient method for solving highly oscillatory ordinary differential equations with applications to physical systems
F. J. Agocs, W. J. Handley, A. N. Lasenby +1
We present a novel numerical routine (oscode) with a C++ and Python interface for the efficient solution of one-dimensional, second-order, ordinary differential equations with rapi…
Bayesian surrogate learning in dynamic simulator-based regression problems
Xi Chen, Mike Hobson
The estimation of unknown values of parameters (or hidden variables, control variables) that characterise a physical system often relies on the comparison of measured data with syn…
Sunyaev--Zel'dovich profile fitting with joint AMI-Planck analysis
Yvette C. Perrott, Kamran Javid, Pedro Carvalho +5
We develop a Bayesian method of analysing Sunyaev-Zel'dovich measurements of galaxy clusters obtained from the Arcminute Microkelvin Imager (AMI) radio interferometer system and fr…