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

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.

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Publication Details

Journal
Angewandte Chemie International Edition
Published
2026-02-15
DOI
https://doi.org/10.1002/anie.4418883
Primary Topic
Machine Learning in Materials Science
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article
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article

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

Shu‐Wen Li, Xin Hong, Shan Chen, Shimin Zhang et al.
Angewandte Chemie International Edition
Machine Learning in Materials Science
article

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

Shu‐Wen Li, Xin Hong, Shan Chen, Shimin Zhang, Prof. Dr. Lutz Ackermann, João C. A. Oliveira
article en

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.

Angewandte Chemie International Edition
Zhejiang Lab (CN), University of Göttingen (DE), Henan Normal University (CN)
Openalex Percentile: Top 56%
Machine Learning in Materials Science
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Staged Diversity‐Constrained Machine Learning for High‐Dimensional Reaction Condition Optimization — Shu‐Wen Li, Xin Hong, et al. · Angewandte Chemie International Edition (2026) | TGRS Research Map | TGRS