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.

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

    CJAMA. MozeikaAA Journal of Mathematical Biology

    Tumour infiltration

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

  • Exact results on high-dimensional linear regression via statistical physics

    AMA. MozeikaFAMSFAF. AntenucciACA. Coolen Physical Review E

    Exact linear regression

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

  • The space of functions computed by deep layered machines

    AMA. MozeikaBLDS Physical Review Letters

    Deep layered machines

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

  • Replica analysis of overfitting in generalized linear models

    ACA. CoolenMSAMA. MozeikaFAFAF. Antenucci Journal of Physics A

    Replica analysis of overfitting

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

  • Journal of Physics A

    Replica clustering

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

  • Journal of Physics A

    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.