A High-Performance and Interpretable pKa Prediction Framework Integrating Count-Based Fingerprints and Ensemble Learning

The acid dissociation constant (p<i>K</i><sub>a</sub>) is a fundamental parameter governing the environmental fate of organic compounds. Accurate p<i>K</i><sub>a</sub> prediction remains challenging, as traditional binary Morgan fingerprints (B-MF) fail to capture stoichiometric information critical for modeling substituent effects. This study developed an interpretable machine learning framework for p<i>K</i><sub>a</sub> prediction by integrating count-based Morgan fingerprints (C-MF) with ensemble algorithms. Through systematic comparison across four algorithms (Catboost, XGBoost, GBDT, RF), C-MF consistently outperformed B-MF due to its ability to quantify functional group multiplicity. Subsequent SHAP-based recursive feature elimination (SHAP-RFE) optimized the model, identifying Catboost with only 81 features as the optimal architecture, achieving a test-set <i>R</i><sup>2</sup> of 0.890 and <i>RMSE</i> of 1.026. SHAP analysis revealed that the model's decisions are driven by chemically intuitive features, forming a hierarchical framework where primary ionizable sites set the baseline p<i>K</i><sub>a</sub> and electronic modifiers fine-tune it. The applicability domain, defined using the AD<sub>SAL</sub> method, yielded high-confidence predictions (<i>R</i><sup>2</sup> = 0.926). External validation on an independent open-source dataset containing 6876 acidic compounds, combined with results from AD<sub>SAL</sub> application domain characterization, enabled accurate p<i>K</i><sub>a</sub> prediction for 390 compounds within the application domain (<i>R</i><sup>2</sup> = 0.890, <i>RMSE</i> = 0.942). This further confirms the model's strong generalizability. This work provides a robust and generalizable tool for high-performance p<i>K</i><sub>a</sub> prediction, with significant potential for applications in environmental risk assessment.

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Publication Details

Journal
Molecules
Published
2026-03-12
DOI
https://doi.org/10.3390/molecules31060961
Primary Topic
Computational Drug Discovery Methods
Type
article
Field-Weighted Citation Impact
0.00

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article

A High-Performance and Interpretable pKa Prediction Framework Integrating Count-Based Fingerprints and Ensemble Learning

Xiaoying Li, Hui Cun Shen, Chenqiang Yang, Dingren Ma et al.
Molecules
Computational Drug Discovery Methods
article

A High-Performance and Interpretable pKa Prediction Framework Integrating Count-Based Fingerprints and Ensemble Learning

Xiaoying Li, Hui Cun Shen, Chenqiang Yang, Dingren Ma, Dehua Xia, Juefeng Deng, Haiying Yu, Yongquan He
article en

Abstract

The acid dissociation constant (p<i>K</i><sub>a</sub>) is a fundamental parameter governing the environmental fate of organic compounds. Accurate p<i>K</i><sub>a</sub> prediction remains challenging, as traditional binary Morgan fingerprints (B-MF) fail to capture stoichiometric information critical for modeling substituent effects. This study developed an interpretable machine learning framework for p<i>K</i><sub>a</sub> prediction by integrating count-based Morgan fingerprints (C-MF) with ensemble algorithms. Through systematic comparison across four algorithms (Catboost, XGBoost, GBDT, RF), C-MF consistently outperformed B-MF due to its ability to quantify functional group multiplicity. Subsequent SHAP-based recursive feature elimination (SHAP-RFE) optimized the model, identifying Catboost with only 81 features as the optimal architecture, achieving a test-set <i>R</i><sup>2</sup> of 0.890 and <i>RMSE</i> of 1.026. SHAP analysis revealed that the model's decisions are driven by chemically intuitive features, forming a hierarchical framework where primary ionizable sites set the baseline p<i>K</i><sub>a</sub> and electronic modifiers fine-tune it. The applicability domain, defined using the AD<sub>SAL</sub> method, yielded high-confidence predictions (<i>R</i><sup>2</sup> = 0.926). External validation on an independent open-source dataset containing 6876 acidic compounds, combined with results from AD<sub>SAL</sub> application domain characterization, enabled accurate p<i>K</i><sub>a</sub> prediction for 390 compounds within the application domain (<i>R</i><sup>2</sup> = 0.890, <i>RMSE</i> = 0.942). This further confirms the model's strong generalizability. This work provides a robust and generalizable tool for high-performance p<i>K</i><sub>a</sub> prediction, with significant potential for applications in environmental risk assessment.

MoleculesVol. 31(6)
Zhejiang Normal University (CN), Sun Yat-sen University (CN), Environmental Protection Engineering (Greece) (GR), Yonker Environmental Protection (China) (CN)
National Natural Science Foundation of China, Natural Science Foundation of Zhejiang Province
Life in Land
Openalex Percentile: Top 25%
Computational Drug Discovery Methods
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