Preprints



Classification on Large Networks: A Quantitative Bound via Motifs and Graphons
With Andreas Haupt, Mohammad Khatami and Thomas Schultz, 2017



Linear and Rational Factorization of Tropical Polynomials
With Bo Lin, 2017



Characterization and Minimal Embeddings of Connected Neural Codes
With Raffaella Mulas, 2017



Iterated Gilbert Mosaics and Poisson Tropical Plane Curves
With Francois Baccelli, 2016



Tropical geometry and mechanism design
With Robert Crowell, 2016


Principal Component Analysis in an Asymmetric Norm
With Maria Osipenko and Wolfgang Haerdle, 2014

Publications


Robust exponential memory in Hopfield networks
With Chris Hillar, 2017, to appear in Journal of Mathematical Neuroscience



Product-Mix Auctions and Tropical Geometry
With Josephine Yu, 2015, To Appear in Mathematics of Operations Research



Antibiotics Time Machine is NP-hard
With Jed Yang, to appear in the AMS Notices, 2017


Enumerating Polytropes
to appear in Journal of Combinatorial Theory, Series A, 2017


The tropical commuting variety
With Ralph Morrison, Linear Algebra and its Applications (2016), 507, 300-321


HodgeRank is the limit of Perron Rank
Mathematics of Operations Research 41.2 (2016): 643-647

Zeros of random tropical polynomials, random polygons and stick-breaking
With Francois Baccelli, Transactions of the American Mathematical Society (2016), 368(10), 7281-7303


The PerronRank Family: A brief review
Evolutionary and Institutional Economics Review 12.1 (2015): 213-221.

Size biased permutation of a finite sequence with independent and identically distributed terms
With Jim Pitman, Bernoulli (2015), 21(4), 2484-2512


A binary Hopfield network with 1/\log(n) information rate and applications to grid cell decoding
With Ila Fiete and David J. Schwab (2014), 2nd Workshop on Biological Distributed Algorithms


Polytropes and Tropical Eigenspaces: Cones of Linearity
Discrete & Computational Geometry (2014), 51(3), 539-558,

Combinatorial Types of Tropical Eigenvectors
With Bernd Sturmfels, Bulletin of the London Mathematical Society 45 (2013) 27-36.

Pairwise ranking: choice of method can produce arbitrarily different rank order.
Linear Algebra and its Applications, Volume 438, Issue 3, 1 February 2013, Pages 1012-1024

Wolf Number, the Southern Oscillation Index and their correlation to rainfall in Sydney
With Daniel Cotton and Collin Waters, Proceedings of the 7th Australian Space Science Conference, p150-161, 2007.

Measuring the risk of catastrophic expenditure: the CATA and IMPOOR indicators of Vietnam during 1993-2004
Pham Manh Hung, Tran Tuan, Tran Duc Thach, Tran Mai Ngoc, Dao Van Dung, Nguyen Kim Phuong, Le Tuan Dong
Journal of the Central Institute for Medical Science Information of Vietnam, Vol 7, p17-21, 2009


An introduction to theoretical properties of functional principal components analysis.
Honours Thesis, Melbourne University, 2008. Adviser: professor Peter Hall

Strength and Difficulties Questionnaire 25 items (SDQ25) Validity Study in Vietnam
With Tuan Tran and Thach Duc Tran

 

Applied projects


Assessment of the autoscoring algorithm for Event Related Potentials (ERPs) in EEG
Technical Report for the Brain Resource Company, 2008

Evaluation of the Green Corridor Project
Technical report for the Research and Training Center for Community Development (RTCCD), 2007

Critical mass in avian flu quarantine
Project report for the National Center for Epidemiology and Population Health (NCEPH), Australian National University, 2006

Wavelets from the viewpoint of linear operators
Project report for Prof. Iain Raeburn, University of Newcastle, 2006

A comparison of gene detection software based on Gibbs sampling
Project report for Dr. Darfiana Nur, University of Newcastle, 2006