Our papers are the official record of our discoveries. They allow others to build on and apply our work. Each paper is the result of many months of research, so we make a special effort to make them clear, beautiful and inspirational, and publish them in leading journals.
Statistical methods that normally fail for very high-dimensional data can be rescued via mathematical tools from statistical physics.
We optimize Bayesian data clustering by mapping the problem to the statistical physics of a gas and calculating the lowest entropy state.
Controlling analytically second or higher-order properties of networks is a great mathematical challenge.
Hypercubic Bethe lattices retain many of the loops of the topology of realistic spin systems.
Entropies of tailored random graph ensembles: bipartite graphs, generalized degrees, and node neighbourhoods
Ensembles of tailored random graphs allow us to reason quantitatively about the complexity of system.
We provide a measure of purity of an entanglement state.
The immune system must simultaneously recall multiple defense strategies because many antigens can attack the host at the same time.
An intriguing analogy exists between neural networks and immune networks.
Our approach gives a rigorous quantitative method for prioritising network properties.