Improving Molecular Representation Learning with Metric Learning-enhanced Optimal Transport
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Abstract (arXiv)
Training data are usually limited or heterogeneous in many chemical and biological applications. Existing machine learning models for chemistry and materials science fail to consider generalizing beyond training domains. In this article, we develop a novel optimal transport-based algorithm termed MROT to enhance their generalization capability for molecular regression problems. MROT learns a continuous label of the data by measuring a new metric of domain distances and a posterior variance regularization over the transport plan to bridge the chemical domain gap. Among downstream tasks, we consider basic chemical regression tasks in unsupervised and semi-supervised settings, including chemical property prediction and materials adsorption selection. Extensive experiments show that MROT significantly outperforms state-of-the-art models, showing promising potential in accelerating the discovery of new substances with desired properties.
Key facts. Cited by 9 papers in the map (data through 7 Oct 2026). Builds on 38 of its 84 references that are in the map. First posted on arXiv 13 Feb 2022.
Builds on
38 of 84 references.
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Citing papers per year: 2022: 1; 2023: 2; 2024: 2; 2025: 2; 2026: 2.
9 papers.
- 2022Unbalanced Optimal Transport, from Theory to Numericscited by 45
- 2024Wasserstein Wormhole: Scalable Optimal Transport Distance with Transformerscited by 14
- 2023A Hierarchical Training Paradigm for Antibody Structure-sequence Co-designcited by 13
- 2023Instructor-inspired Machine Learning for Robust Molecular Property Predictioncited by 8
- 2025Graph Data Selection for Domain Adaptation: A Model-Free Approachcited by 7
- 2025Fast Estimation of Wasserstein Distances via Regression on Sliced Wasserstein Distancescited by 5
- 2026Amortized Optimal Transport from Sliced Potentialscited by 2
- 2024Linear Partial Gromov-Wasserstein Embeddingcited by 1
- 2026SurfDesign: Effective Protein Design on Molecular Surfacescited by 0
- 2026SurfDesign: Effective Protein Design on Molecular Surfaces25 May 2026
- 2026Amortized Optimal Transport from Sliced Potentials16 Apr 2026
- 2025Fast Estimation of Wasserstein Distances via Regression on Sliced Wasserstein Distances24 Sep 2025
- 2025Graph Data Selection for Domain Adaptation: A Model-Free Approach22 May 2025
- 2024Linear Partial Gromov-Wasserstein Embedding22 Oct 2024
- 2024Wasserstein Wormhole: Scalable Optimal Transport Distance with Transformers15 Apr 2024
- 2023A Hierarchical Training Paradigm for Antibody Structure-sequence Co-design30 Oct 2023
- 2023Instructor-inspired Machine Learning for Robust Molecular Property Prediction8 Apr 2023
- 2022Unbalanced Optimal Transport, from Theory to Numerics16 Nov 2022