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
18 papers · 1 filter
Assessment and adjustment of approximate inference algorithms using the law of total variance
Xuejun Yu, David J. Nott, Minh-Ngoc Tran +1
A common method for assessing validity of Bayesian sampling or approximate inference methods makes use of simulated data replicates for parameters drawn from the prior. Under conti…
Classical skew orthogonal polynomials in a two-component log-gas with charges and
Peter J Forrester, Shi-Hao Li
There is a two-component log-gas system with Boltzmann factor which provides an interpolation between the eigenvalue PDF for and invariant random matrix ensembles. Th…
Complete graph and Gaussian fixed point asymptotics in the five-dimensional Fortuin-Kasteleyn Ising model with periodic boundaries
Sheng Fang, Jens Grimm, Zongzheng Zhou +1
We present an extensive Markov-chain Monte Carlo study of the finite-size scaling behavior of the Fortuin-Kasteleyn Ising model on five-dimensional hypercubic lattices with periodi…
Estimating a novel stochastic model for within-field disease dynamics of banana bunchy top virus via approximate Bayesian computation
Abhishek Varghese, Christopher Drovandi, Kerrie Mengersen +1
The Banana Bunchy Top Virus (BBTV) is one of the most economically important vector-borne banana diseases throughout the Asia-Pacific Basin and presents a significant challenge to…
Linear Differential Equations for the Resolvents of the Classical Matrix Ensembles
Anas A. Rahman, Peter J. Forrester
The spectral density for random matrix ensembles can be written in terms of the average of the absolute value of the characteristic polynomial raised to the power of , which…
Consequences of Dale's law on the stability-complexity relationship of random neural networks
J. R. Ipsen, A. D. H. Peterson
In the study of randomly connected neural network dynamics there is a phase transition from a `simple' state with few equilibria to a `complex' state characterised by the number of…
Classification Algorithm for High Dimensional Protein Markers in Time-course Data
Souvik Banerjee, Gajendra K. Vishwakarma, Atanu Bhattacharjee
Identification of biomarkers is an emerging area in Oncology. In this article, we develop an efficient statistical procedure for classification of protein markers according to thei…
Kardar-Parisi-Zhang Universality of the Nagel-Schreckenberg Model
Jan de Gier, Andreas Schadschneider, Johannes Schmidt +1
Dynamical universality classes are distinguished by their dynamical exponent and unique scaling functions encoding space-time asymmetry for, e.g. slow-relaxation modes or the d…
Co-rank 1 projections and the randomised Horn problem
Peter J. Forrester, Jiyuan Zhang
Let be a normalised standard complex Gaussian vector, and project an Hermitian matrix onto the hyperplane orthogonal to . In a recent…
The length of self-avoiding walks on the complete graph
Youjin Deng, Timothy M Garoni, Jens Grimm +2
We study the variable-length ensemble of self-avoiding walks on the complete graph. We obtain the leading order asymptotics of the mean and variance of the walk length, as the numb…
Schwinger-Dyson and loop equations for a product of square Ginibre random matrices
Stephane Dartois, Peter J. Forrester
In this paper, we study the product of two complex Ginibre matrices and the loop equations satisfied by their resolvents (i.e. the Stieltjes transform of the correlation functions)…
Recursion scheme for the largest -Wishart-Laguerre eigenvalue and Landauer conductance in quantum transport
Peter J. Forrester, Santosh Kumar
The largest eigenvalue distribution of the Wishart-Laguerre ensemble, indexed by Dyson parameter and Laguerre parameter , is fundamental in multivariate statistics and finds…
Mathematical Modelling of Hydrophilic Ionic Fertiliser Diffusion in Plant Cuticles: Lipophilic Surfactant Effects
Eloise C. Tredenick, Troy W. Farrell, W. Alison Forster
The agricultural industry requires improved efficacy of sprays being applied to crops and weeds to reduce their environmental impact and increase financial returns. One way to impr…
Streamlined Variational Inference for Higher Level Group-Specific Curve Models
M. Menictas, T. H. Nolan, D. G. Simpson +1
A two-level group-specific curve model is such that the mean response of each member of a group is a separate smooth function of a predictor of interest. The three-level extension…
Reversible signal transmission in an active mechanical metamaterial
Alexander P Browning, Francis G Woodhouse, Matthew J Simpson
Mechanical metamaterials are designed to enable unique functionalities, but are typically limited by an initial energy state and require an independent energy input to function rep…
Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions
Peter J Forrester, Shi-Hao Li
The eigenvalue probability density function for symplectic invariant random matrix ensembles can be generalised to discrete settings involving either a linear or exponential lattic…
Verifying and Monitoring IoTs Network Behavior using MUD Profiles
Ayyoob Hamza, Dinesha Ranathunga, Hassan Habibi Gharakheili +3
IoT devices are increasingly being implicated in cyber-attacks, raising community concern about the risks they pose to critical infrastructure, corporations, and citizens. In order…
An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains
Libo Feng, Fawang Liu, Ian Turner
In this paper, we propose a novel unstructured mesh control volume method to deal with the space fractional derivative on arbitrarily shaped convex domains, which to the best of ou…