🤖 AI Summary
To address the challenges of quantifying feature selection, ambiguous weight assignment, and limited interpretability in molecular system modeling, this paper proposes the first end-to-end differentiable feature selection framework grounded in Differentiable Information Imbalance (DII). The method jointly optimizes feature selection and importance weighting via gradient-based learning, integrating information-theoretic differentiable mutual information estimation, molecular graph neural network representation learning, and a continuous relaxation-based feature gating mechanism. Evaluated on benchmark datasets including QM9 and MD17, the approach achieves significant improvements in energy and force prediction accuracy. Selected features exhibit strong alignment with domain-specific physicochemical priors, enhancing model interpretability. Moreover, computational overhead is lower than that of conventional embedded methods. This work establishes a novel paradigm for interpretable molecular machine learning, bridging principled information-theoretic foundations with practical deep learning architectures for quantum-chemical property prediction.