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.

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  • 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.

  • Replica analysis of Bayesian data clustering

    AMA. MozeikaTC 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.

  • Exactly solvable random graph ensemble with extensively many short cycles

    FLPBP. BaruccaMFACA. Coolen 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.

  • Spin systems on hypercubic Bethe lattices: a Bethe–Peierls approach

    AMA. MozeikaACA. Coolen 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.

  • 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.

  • Journal of Physics A

    Entanglement typicality

    A review of the achievements concerning typical bipartite entanglement for random quantum states involving a large number of particles.

  • 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.

  • 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.

  • 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.