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 "Modelling the interplay between the CD4+/CD8+ T-cell ratio and the expression of MHC-I in tumours"
Mathematical medicine

Tumour infiltration

A delicate balance between white blood cell protein expression and the molecules on the surface of tumour cells determines cancer prognoses.

AMAlexander MozeikaCHAA
Journal of Mathematical Biology
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 "The space of functions computed by deep layered machines"
Neural networks

Deep layered machines

The ability of deep neural networks to generalize can be unraveled using path integral methods to compute their typical Boolean functions.

AMAlexander MozeikaBLDS
Physical Review Letters
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
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.

AMAC
Journal of Physics A
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