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  • Brownian bridge and other path-dependent Gaussian processes vectorial simulation
    Publication . Beleza Sousa, João; Esquivel, M. L.; Gaspar, R. M.
    The iterative simulation of the Brownian bridge is well known. In this article, we present a vectorial simulation alternative based on Gaussian processes for machine learning regression that is suitable for interpreted programming languages implementations. We extend the vectorial simulation of path-dependent trajectories to other Gaussian processes, namely, sequences of Brownian bridges, geometric Brownian motion, fractional Brownian motion, and Ornstein-Ulenbeck mean reversion process.