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Main Authors: Hu, Dejun, Li, Zhiming, Shen, Jia-Rui, Tu, Jia-Ning, Ye, Zi-Hao, Zhang, Junliang
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.14418
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author Hu, Dejun
Li, Zhiming
Shen, Jia-Rui
Tu, Jia-Ning
Ye, Zi-Hao
Zhang, Junliang
author_facet Hu, Dejun
Li, Zhiming
Shen, Jia-Rui
Tu, Jia-Ning
Ye, Zi-Hao
Zhang, Junliang
contents Machine learning is profoundly reshaping molecular and materials modeling; however, given the vast scale of chemical space (10^30-10^60), it remains an open scientific question whether models can achieve convergent learning across this space. We introduce a Dual-Axis Representation-Complete Convergent Learning (RCCL) strategy, enabled by a molecular representation that integrates graph convolutional network (GCN) encoding of local valence environments, grounded in modern valence bond theory, together with no-bridge graph (NBG) encoding of ring/cage topologies, providing a quantitative measure of chemical-space coverage. This framework formalizes representation completeness, establishing a principled basis for constructing datasets that support convergent learning for large models. Guided by this RCCL framework, we develop the FD25 dataset, systematically covering 13,302 local valence units and 165,726 ring/cage topologies, achieving near-complete combinatorial coverage of organic molecules with H/C/N/O/F elements. Graph neural networks trained on FD25 exhibit representation-complete convergent learning and strong out-of-distribution generalization, with an overall prediction error of approximately 1.0 kcal/mol MAE across external benchmarks. Our results establish a quantitative link between molecular representation, structural completeness, and model generalization, providing a foundation for interpretable, transferable, and data-efficient molecular intelligence.
format Preprint
id arxiv_https___arxiv_org_abs_2512_14418
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dual-Axis RCCL: Representation-Complete Convergent Learning for Organic Chemical Space
Hu, Dejun
Li, Zhiming
Shen, Jia-Rui
Tu, Jia-Ning
Ye, Zi-Hao
Zhang, Junliang
Machine Learning
Machine learning is profoundly reshaping molecular and materials modeling; however, given the vast scale of chemical space (10^30-10^60), it remains an open scientific question whether models can achieve convergent learning across this space. We introduce a Dual-Axis Representation-Complete Convergent Learning (RCCL) strategy, enabled by a molecular representation that integrates graph convolutional network (GCN) encoding of local valence environments, grounded in modern valence bond theory, together with no-bridge graph (NBG) encoding of ring/cage topologies, providing a quantitative measure of chemical-space coverage. This framework formalizes representation completeness, establishing a principled basis for constructing datasets that support convergent learning for large models. Guided by this RCCL framework, we develop the FD25 dataset, systematically covering 13,302 local valence units and 165,726 ring/cage topologies, achieving near-complete combinatorial coverage of organic molecules with H/C/N/O/F elements. Graph neural networks trained on FD25 exhibit representation-complete convergent learning and strong out-of-distribution generalization, with an overall prediction error of approximately 1.0 kcal/mol MAE across external benchmarks. Our results establish a quantitative link between molecular representation, structural completeness, and model generalization, providing a foundation for interpretable, transferable, and data-efficient molecular intelligence.
title Dual-Axis RCCL: Representation-Complete Convergent Learning for Organic Chemical Space
topic Machine Learning
url https://arxiv.org/abs/2512.14418