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Geometrically Aligned Transfer Encoder for Inductive Transfer in Regression Tasks
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Proposes GATE, a differential-geometry-inspired transfer encoder that aligns task-specific latent coordinate patches via transfer maps, consistency, mapping, and perturbation-distance losses for inductive transfer in molecular property regression.
Problem
Inductive transfer learning for regression tasks, where most transfer methods target classification on images and text; the paper focuses on small molecular property datasets.
Approach
Interpret encoder latent spaces as Riemannian manifolds, learn diffeomorphism-like transfer maps between source and target task coordinate patches with autoencoder and consistency losses, and regularize with a distance loss on infinitesimal perturbation points so that overlapping regions are locally flat and aligned.
Key results
- GATE achieved the best RMSE in 12 of 23 task pairs under random split and 13 of 23 under scaffold split, versus at most 5 pairs for any other method.
- Average RMSE was 9.8% lower than the second-best method (GSP-KD) under random split and 14.3% lower than MTL under scaffold split.
- Adding the distance loss reduced overfitting and improved robustness to corrupted training labels compared with MTL.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use GATE instead of GSP-KD | molecular property regression transfer · 23 task pairs, random split | average RMSE: 9.8 \% lower | Helped |
| use GATE instead of MTL | molecular property regression transfer · 23 task pairs, scaffold split | average RMSE: 14.3 \% lower | Helped |
| add distance loss to mapping and consistency losses (ablation) | GATE · molecular property regression | overfitting during training | Helped |
| add distance loss to mapping and consistency losses (ablation) | GATE · molecular property regression | regression task performance | No clear effect |
| use GATE instead of MTL | regression with four different source tasks · latent-space stability | latent-space stability | Helped |
| use GATE instead of MTL | molecular property regression under data corruption · corrupted training data points | MSE against original values | Helped |
Surprising findings
- Knowledge distillation and GSP-KD sometimes beat GATE on individual task pairs but show critically low accuracy on others.
Limitations
- Evaluated only on molecular property regression; generality to other domains is untested.
- Uses only infinitesimal perturbations and a flat-space distance approximation rather than solving geodesic equations.
- The Riemannian framing is heuristic; the paper does not formally verify the manifold assumptions.
Experimental setup
Datasets: PubChem property datasets OChem property datasets CCCB polarizability dataset
Benchmarks: 14 molecular property datasets (AS, BP, CCS, CT, DK, DS, EF, IP, KRI, LP, POL, ST, VS, HV)
Metrics: RMSE relative RMSE
Baselines: single task learning multi-task learning knowledge distillation GSP-KD transfer learning (retrain all) transfer learning (head only)
Builds on: DMPNN GSP-KD
Closest papers by meaning
- Graph Geometry-Preserving Autoencoders (ICML 2024 · similarity 0.85)
- Function Encoders: A Principled Approach to Transfer Learning in Hilbert Spaces (ICML 2025 · similarity 0.85)
- Disentangled Representation Learning with the Gromov-Monge Gap (ICLR 2025 · similarity 0.84)
- Toward a Unified Geometry Understanding : Riemannian Diffusion Framework for Graph Generation and Prediction (NeurIPS 2025 · similarity 0.83)
- Geometry Awakening: Cross-Geometry Learning Exhibits Superiority over Individual Structures (NeurIPS 2024 · similarity 0.83)
- DisRFM: Polar Riemannian Flow Matching for Structure-Preserving Graph Domain Adaptation (NeurIPS 2026 · similarity 0.83)
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