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stat.CO2025
Convergence of a class of gradient-free optimisation schemes when the objective function is noisy, irregular, or both
Christophe Andrieu, Nicolas Chopin, Ettore Fincato +1
We investigate the convergence properties of a class of iterative algorithms designed to minimize a potentially non-smooth and noisy objective function, which may be algebraically…
stat.CO2025
Adaptive stratified Monte Carlo using decision trees
Nicolas Chopin, Hejin Wang, Mathieu Gerber
It has been known for a long time that stratification is one possible strategy to obtain higher convergence rates for the Monte Carlo estimation of integrals over the hyper-cube $[…