The London Institute’s papers are the official record of our discoveries. They allow others to build on and apply our work. Each one is the result of many months of research, so we strive to make them clear, inspiring and beautiful, and publish them in leading journals.

Image for the paper "Exact results on high-dimensional linear regression via statistical physics"
Inference

Exact linear regression

Exact methods supersede approximations used in high-dimensional linear regression to find correlations in statistical physics problems.

AMAlexander MozeikaFAFabrizio AntenucciFLMSAC
Physical Review E
Image for the paper "Replica analysis of overfitting in generalized linear models"
Statistical physics

Replica analysis of overfitting

Statistical methods that normally fail for very high-dimensional data can be rescued via mathematical tools from statistical physics.

AMAlexander MozeikaFAFabrizio AntenucciACMSFL
Journal of Physics A
Image for the paper "Transitions in loopy random graphs with fixed degrees and arbitrary degree distributions"
Graph theory

Transitions in loopy graphs

The generation of large graphs with a controllable number of short loops paves the way for building more realistic random networks.

FLAC
ArXiv
Image for the paper "Replica analysis of Bayesian data clustering"
Inference, Statistical physics

Replica clustering

We optimize Bayesian data clustering by mapping the problem to the statistical physics of a gas and calculating the lowest entropy state.

AMAlexander MozeikaAC
Journal of Physics A
Graph theory

Exactly solvable random graphs

An explicit analytical solution reproduces the main features of random graph ensembles with many short cycles under strict degree constraints.

PBFLMFAC
Journal of Physics A
Biological networks

Protein interaction experiments

Properties of protein interaction networks test the reliability of data and hint at the underlying mechanism with which proteins recruit each other.

AAACNP
Journal of the Royal Society Interface
Statistical physics

Spin systems on Bethe lattices

Exact equations for the thermodynamic quantities of lattices made of d-dimensional hypercubes are obtainable with the Bethe-Peierls approach.

AMAC
Journal of Physics A
Graph theory

Random graphs with short loops

The analysis of real networks which contain many short loops requires novel methods, because they break the assumptions of tree-like models.

ERAC
ESAIM: Proceedings and surveys
Graph theory

Entropies of graph ensembles

Explicit formulae for the Shannon entropies of random graph ensembles provide measures to compare and reproduce their topological features.

ERAC
Journal of Physics A
Biological networks

Multitasking immune networks

The immune system must simultaneously recall multiple defense strategies because many antigens can attack the host at the same time.

EAAAABACDT
Journal of Physics A
Mathematical medicine

Multi-tasking in immune networks

Associative networks with different loads model the ability of the immune system to respond simultaneously to multiple distinct antigen invasions.

EAAAABACDT
Journal of Physics A
Graph theory

Unbiased randomization

Unbiased randomisation processes generate sophisticated synthetic networks for modelling and testing the properties of real-world networks.

ERAC
Physical Review E
Biological networks

What you see is not what you get

Methods from tailored random graph theory reveal the relation between true biological networks and the often-biased samples taken from them.

AAAC
Interface Focus
Statistical physics

Dynamics of Ising chains

A transfer operator formalism solves the macroscopic dynamics of disordered Ising chain systems which are relevant for ageing phenomena.

ACKT
Philosophical Magazine
Graph theory

Tailored random graph ensembles

New mathematical tools quantify the topological structure of large directed networks which describe how genes interact within a cell.

ERTSAC
Journal of Physics A