Synthetic
chemistry has progressively integrated advanced
optimization
methods. While traditional approaches often prioritize continuous
variables, the significance of discrete variables (e.g., solvent,
catalysts, feedstocks, etc.) cannot be underestimated in reaction
optimization. Solving mixed-variable optimization problems presents
a major challenge, and in addition, there are no available comparative
studies assessing the performance of the different available methods.
In this study, we conduct a comparative analysis of three mixed-variable
optimization approaches: filter-assisted Nelder–Mead and Bayesian
optimization and a standard Bayesian optimization approach. Regarding
the filter-assisted methods, we build upon our recent sampling–filtering–optimization
(SFO) framework, which involves (i) sampling the continuous domain,
for all the discrete possibilities, through Design of Experiments
(DoE); (ii) filtering relevant discrete variables through statistical
analysis; and (iii) optimizing the reaction with the filtered variables.
The SFO strategy was tested in formal [3 + 3] cycloadditions of 1,3-cyclohexanedione
with citral, conducted in a robotic micromole-scale flow platform.
The results not only showcased the performance of different algorithms
but also demonstrated the successful development of ultrafast, sustainable,
and mild reaction conditions, allowing us to scale up the experimental
conditions by a factor of >2400. This work highlights the potential
of advanced optimization techniques in synthetic chemistry, particularly
in the context of self-optimizing flow reactors.