182 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- The University of MelbourneAU58 papers
- Queensland University of TechnologyAU33 papers
- Monash UniversityAU18 papers
- University of Science and Technology of ChinaCN16 papers
- The University of AdelaideAU10 papers
- Australian Research CouncilAU7 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- Minjiang UniversityCN6 papers
- University of OxfordGB6 papers
- University of Technology SydneyAU6 papers
- UNSW SydneyAU6 papers
- The University of SydneyAU5 papers
12 papers · 1 filter
Geometric explanation of anomalous finite-size scaling in high dimensions
Jens Grimm, Eren Metin Elçi, Zongzheng Zhou +2
We give an intuitive geometric explanation for the apparent breakdown of standard finite-size scaling in systems with periodic boundaries above the upper critical dimension. The Is…
Inference of epidemiological parameters from household stratified data
James N. Walker, Joshua V. Ross, Andrew J. Black
We consider a continuous-time Markov chain model of SIR disease dynamics with two levels of mixing. For this so-called stochastic households model, we provide two methods for infer…
DESPOT: Online POMDP Planning with Regularization
Nan Ye, Adhiraj Somani, David Hsu +1
The partially observable Markov decision process (POMDP) provides a principled general framework for planning under uncertainty, but solving POMDPs optimally is computationally int…
Ultrahigh Dimensional Variable Selection for Mapping Soil Carbon
Benjamin R. Fitzpatrick, David W. Lamb, Kerrie Mengersen
Modern soil mapping is characterised by the need to interpolate samples of geostatistical response observations and the availability of relatively large numbers of environmental ch…
Real eigenvalue statistics for products of asymmetric real Gaussian matrices
P. J. Forrester, J. R. Ipsen
Random matrices formed from i.i.d. standard real Gaussian entries have the feature that the expected number of real eigenvalues is non-zero. This property persists for products of…
Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries
Luigi Cantini, Alexandr Garbali, Jan de Gier +1
We prove that the normalisation of the stationary state of the multi-species asymmetric simple exclusion process (mASEP) is a specialisation of a Koornwinder polynomial. As a corol…
The Probability That All Eigenvalues are Real for Products of Truncated Real Orthogonal Random Matrices
Peter J. Forrester, Santosh Kumar
The probability that all eigenvalues of a product of independent sub-blocks of a Haar distributed random real orthogonal matrix of size , $…
A new generalisation of Macdonald polynomials
Alexandr Garbali, Jan de Gier, Michael Wheeler
We introduce a new family of symmetric multivariate polynomials, whose coefficients are meromorphic functions of two parameters and polynomial in a further two parameters $…
Using history matching for prior choice
Xueou Wang, David J. Nott, C. C. Drovandi +2
It can be important in Bayesian analyses of complex models to construct informative prior distributions which reflect knowledge external to the data at hand. Nevertheless, how much…
Modelling modal gating of ion channels with hierarchical Markov models
Ivo Siekmann, Mark Fackrell, Edmund J. Crampin +1
Many ion channels spontaneously switch between different levels of activity. Although this behaviour known as modal gating has been observed for a long time it is currently not wel…
Clustering action potential spikes: Insights on the use of overfitted finite mixture models and Dirichlet process mixture models
Zoé van Havre, Nicole White, Judith Rousseau +1
The modelling of action potentials from extracellular recordings, or spike sorting, is a rich area of neuroscience research in which latent variable models are often used. Two such…
Isotropic Brownian motions over complex fields as a solvable model for May-Wigner stability analysis
J. R. Ipsen, H. Schomerus
We consider matrix-valued stochastic processes known as isotropic Brownian motions, and show that these can be solved exactly over complex fields. While these processes appear in a…