no code implementations • 23 May 2022 • David Yallup, Will Handley, Mike Hobson, Anthony Lasenby, Pablo Lemos
The true posterior distribution of a Bayesian neural network is massively multimodal.
1 code implementation • 25 Apr 2020 • Kamran Javid, Will Handley, Mike Hobson, Anthony Lasenby
We conduct a thorough analysis of the relationship between the out-of-sample performance and the Bayesian evidence (marginal likelihood) of Bayesian neural networks (BNNs), as well as looking at the performance of ensembles of BNNs, both using the Boston housing dataset.
1 code implementation • 12 Sep 2018 • Edward Higson, Will Handley, Michael Hobson, Anthony Lasenby
Our approach can also be readily applied to neural networks, where it allows the network architecture to be determined by the data in a principled Bayesian manner by treating the number of nodes and hidden layers as parameters.
3 code implementations • 16 Apr 2018 • Edward Higson, Will Handley, Mike Hobson, Anthony Lasenby
Nested sampling is an increasingly popular technique for Bayesian computation - in particular for multimodal, degenerate and high-dimensional problems.
Computation Cosmology and Nongalactic Astrophysics Instrumentation and Methods for Astrophysics Data Analysis, Statistics and Probability
2 code implementations • 11 Apr 2017 • Edward Higson, Will Handley, Mike Hobson, Anthony Lasenby
We introduce dynamic nested sampling: a generalisation of the nested sampling algorithm in which the number of "live points" varies to allocate samples more efficiently.
Computation Instrumentation and Methods for Astrophysics Data Analysis, Statistics and Probability Methodology
2 code implementations • 28 Mar 2017 • Edward Higson, Will Handley, Mike Hobson, Anthony Lasenby
Sampling errors in nested sampling parameter estimation differ from those in Bayesian evidence calculation, but have been little studied in the literature.
Methodology Instrumentation and Methods for Astrophysics Applications
2 code implementations • 13 Oct 2011 • Philip Graff, Farhan Feroz, Michael P. Hobson, Anthony Lasenby
In this paper we present an algorithm for rapid Bayesian analysis that combines the benefits of nested sampling and artificial neural networks.
3 code implementations • 10 Nov 1999 • Antony Lewis, Anthony Challinor, Anthony Lasenby
We implement the efficient line of sight method to calculate the anisotropy and polarization of the cosmic microwave background for scalar and tensor modes in almost-Friedmann-Robertson-Walker models with positive spatial curvature.
astro-ph
no code implementations • 28 Apr 1998 • Anthony Challinor, Anthony Lasenby
We present a fully covariant and gauge-invariant calculation of the evolution of anisotropies in the cosmic microwave background (CMB) radiation.
astro-ph