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.

  • Date
  • Subject
  • Theme
  • Journal
  • Citations
  • Altmetric
  • SNIP
  • Author
x15
  • Transitions in loopy random graphs with fixed degrees and arbitrary degree distributions

    Graph theory

    FAACA. Coolen JPhys Complexity

    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.

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

    Inference

    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.

  • Replica analysis of overfitting in generalized linear models

    Statistical physics

    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.

  • Replica analysis of Bayesian data clustering

    Inference, Statistical physics

    AMA. MozeikaACA. Coolen 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.

  • Graph theory

    Journal of Physics A

    Exactly solvable random graphs

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

  • Biological networks

    Journal of the Royal Society Interface

    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.

  • Statistical physics

    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.

  • Graph theory

    ESAIM: Proceedings and surveys

    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.

  • Graph theory

    Journal of Physics A

    Entropies of graph ensembles

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

  • Biological networks

    Journal of Physics A

    Multitasking immune networks

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

  • Mathematical medicine

    Journal of Physics A

    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.

  • Graph theory

    Physical Review E

    Unbiased randomization

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

  • Biological networks

    Interface Focus

    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.

  • Statistical physics

    Philosophical Magazine

    Dynamics of Ising chains

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

  • Graph theory

    Journal of Physics A

    Tailored random graph ensembles

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