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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  • 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.

  • Quantum generalisation of feedforward neural networks

    ODO. DahlstenKWHKRGMK Nature Quantum Information

    Quantum neural networks

    We generalise neural networks into a quantum framework, demonstrating the possibility of quantum auto-encoders and teleportation.

  • Emergence of strongly connected components in continuum disk-spin percolation

    FCF. CaravelliMBM. BardosciaFC Journal of Statistical Mechanics: Theory and Experiment

    Clusters of neurons

    Percolation theory shows that the formation of giant clusters of neurons relies on a few parameters that could be measured experimentally.

  • Immune networks: multi-tasking capabilities at medium load

    ACA. CoolenEAAAABDT Journal of Physics A

    Immune networks: multi-tasking capabilities at medium load

    An intriguing analogy exists between neural networks and immune networks.