Category Archives: Gaussian Processes

Bayesian reanalysis of the quasar dataset …

Just received a notification that the conference proceedings concerning my Bayesian reanalysis of the quasar dataset (regarding the evidence, or lack thereof, for a dipole variation in the fine structure constant) has now been published in the Mem.S.A.It journal: here.  It’s … Continue reading

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Thinking about path integrals …

Been busy this past week running “micro-simulation” models for my day job; “micro-simulation” = build a computer code to simulate a whole population of people, send a swarm of simulated infectious mosquitos after them, and then simulate the process of … Continue reading

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Six key trends in contemporary statistics that really could revolutionise astronomical data analysis …

(2) the SPDE approach to large-scale random fields. Cosmologists have long been familiar with the statistics of random fields, owing in part to the prominent role of the Gaussian and log-Gaussian in models of the initial density perturbations (Bardeen et … Continue reading

Posted in Astrostatistics, Gaussian Processes, Infinite-Dimensional Inference, INLA, Statistics | 3 Comments

More GPs for reconstructing H(z) …

It seems there’s quite a cottage industry for GP-based non-parametric modelling of H(z) using the cosmic chronometers supernova (SN) dataset: today on astro-ph we had a contribution by Verde et al., following on from Busti et al.’s effort last week. … Continue reading

Posted in Astronomy, Astrostatistics, Bad Science, Gaussian Processes, Rants, Semi-Parametric | Leave a comment

GPs for reconstructing w(z) (and its derivatives!) …

There was an interesting paper by Seikel & Clarkson on astro ph recently (link) discussing the choice of covariance function and hyper parameter optimization methodology for Gaussian Process (GP) regression of w(z) and its derivatives (cosmology).  The background here is … Continue reading

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Why information field theory is *not* a field theory (part 1) …

About six months ago I discovered a series of papers by Torsten Ensslin & collaborators promoting a methodology they had developed, called Information Field Theory (IFT), for performing Bayesian inference on random fields; that is, Bayesian inference in infinite dimensional … Continue reading

Posted in Astrostatistics, Gaussian Processes, Infinite-Dimensional Inference, Measure Theory, Rants | 8 Comments