Umberto Picchini

  1. Inference for SDE models via Approximate Bayesian Computation.

    Authors: Umberto Picchini
    Subjects: Methodology
    Abstract

    Models defined by stochastic differential equations (SDEs) allow for the
    representation of random variability in dynamical systems. The relevance of
    this class of models is growing in many applied research areas and is already a
    standard tool to model e.g. financial, neuronal and population growth dynamics.
    However inference for multidimensional SDE models is still very challenging
    from a computational and theoretical point of view.

  2. Practical Estimation of High Dimensional Stochastic Differential Mixed-Effects Models.

    Authors: Umberto Picchini, Susanne Ditlevsen
    Subjects: Computation
    Abstract

    Stochastic differential equations (SDEs) are established tools to model
    physical phenomena whose dynamics are affected by random noise. By estimating
    parameters of an SDE intrinsic randomness of a system around its drift can be
    identified and separated from the drift itself. When it is of interest to model
    dynamics within a given population, i.e. to model simultaneously the
    performance of several experiments or subjects, mixed-effects modelling allows
    for the distinction of between and within experiment variability.

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