Staged Diversity‐Constrained Machine Learning for High‐Dimensional Reaction Condition Optimization

S Shu‐Wen Li (Center of Chemistry for Frontier Technologies Department of Chemistry Zhejiang University Hangzhou China) S Shan Chen (Anhui Key Laboratory of Nanomaterials and Nanotechnology, Institute of Solid State Physics) J João C. A. Oliveira (Wöhler Research Institute for Sustainable Chemistry) S Shuo‐Qing Zhang (Center of Chemistry for Frontier Technologies Department of Chemistry Zhejiang University Hangzhou China) L Lutz Ackermann (Institut für Organische und Biomolekulare Chemie (IOBC)) X Xin Hong (State Key Laboratory of Advanced Environmental Technology, Department of Environmental Science and Engineering)

Abstract

ABSTRACT Optimizing reaction conditions in high‐dimensional chemical spaces remains a central challenge in modern synthesis. In this context, we developed and evaluated a staged diversity‐constrained machine learning framework that efficiently balances exploration and exploitation during condition optimization. At each stage, a within‐batch diversity constraint promotes broad chemical coverage, while the constraint is progressively relaxed to focus on promising subspaces. Systematic evaluation across large‐scale palladium‐catalyzed C─C and C─N coupling datasets revealed that the number of stages, rather than the exploration portion, was the dominant factor governing optimization efficiency. A comparison with Bayesian optimization (BO) methods shows a dimension‐dependent performance trend. Here, the staged diversity‐constrained strategy was shown to be more advantageous in higher‐dimensional reaction spaces, whereas BO performed better in lower‐dimensional settings. Moreover, we developed a user‐friendly software tool making the herein developed framework readily accessible for experimental chemists. Our strategy was further applied to challenging ruthenium‐catalyzed meta ‐C─H functionalization involving 11,880 possible conditions, only 44 experiments were required to identify the optimal setup (91% yield). This work provides a validated and practical framework for accelerating high‐dimensional reaction condition optimization, bridging data‐driven modeling with experimental synthesis.

Article Details

Volume / Issue Vol. 65, Issue 17
Published April 20, 2026
ISSN 1433-7851
Publisher Wiley

Journal Info

Angewandte Chemie International Edition

Wiley

ISSN: 1433-7851 Physical Sciences

Authors (6)

S

Shu‐Wen Li

Center of Chemistry for Frontier Technologies Department of Chemistry Zhejiang University Hangzhou China

S

Shan Chen

Anhui Key Laboratory of Nanomaterials and Nanotechnology, Institute of Solid State Physics

J

João C. A. Oliveira

Wöhler Research Institute for Sustainable Chemistry

S

Shuo‐Qing Zhang

Center of Chemistry for Frontier Technologies Department of Chemistry Zhejiang University Hangzhou China

L

Lutz Ackermann

Institut für Organische und Biomolekulare Chemie (IOBC)

X

Xin Hong

State Key Laboratory of Advanced Environmental Technology, Department of Environmental Science and Engineering