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RetroBridge: Modeling Retrosynthesis with Markov Bridges
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Proposes the Markov Bridge Model, a discrete generative framework that learns the dependency between two intractable discrete distributions, and applies it as RetroBridge for template-free single-step retrosynthesis on USPTO-50k.
Problem
Single-step retrosynthesis requires predicting sets of reactants for a product molecule; the product-reactant dependency is modeled as a mapping between two intractable discrete distributions, which standard diffusion models (designed for one intractable distribution from a tractable noise prior) fi
Approach
Model the product-to-reactant mapping as a Markov bridge pinned at a product start point and a reactant endpoint, using a categorical transition kernel with a learned predictor of the final state trained by a variational lower bound; sampling starts from the product itself rather than from noise, and confidence scores come from the sample frequency of each reactant set.
Key results
- RetroBridge reaches 74.1% top-3 and 80.6% top-5 exact match on USPTO-50k, the best among template-free methods, while top-1 is 50.8%, below GraphRetro's 53.7% among template-based methods.
- Round-trip coverage/accuracy at k=1 of 85.1% for RetroBridge, exceeding template-based GLN (82.5%) and LocalRetro (82.1%).
- On the validation set, RetroBridge-VLB with context reaches 73.04% top-3 vs DiGress with context at 68.56%.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use the Markov Bridge formulation instead of DiGress with product context | retrosynthesis prediction · USPTO-50k validation | top-5 exact-match accuracy: 73.93 -> 79.44 | Helped |
| add product context at each sampling step (ablation) | RetroBridge-VLB · USPTO-50k validation | top-5 exact-match accuracy: 75.21 -> 79.44 | Helped |
| replace VLB with CE loss (ablation) | RetroBridge with product context · USPTO-50k validation | top-5 exact-match accuracy: 79.44 -> 76.58 | Hurt |
| replace VLB with CE loss (ablation) | RetroBridge without product context · USPTO-50k validation | top-5 exact-match accuracy: 75.21 -> 72.33 | Hurt |
| add molecular weight and atom valency features (ablation) | RetroBridge · USPTO-50k validation | top-5 exact-match accuracy | Hurt |
| reduce sampling steps from T=500 to T=250 (ablation) | RetroBridge with CE loss · USPTO-50k validation | top-k accuracy | No clear effect |
| reduce sampling steps by 5-fold (ablation) | RetroBridge with CE loss · USPTO-50k validation | top-k accuracy | Hurt |
| reduce the number of generated samples by 5-fold (ablation) | RetroBridge with VLB loss · USPTO-50k test | top-k accuracy | No clear effect |
| use one-shot graph prediction instead of iterative sampling (ablation) | graph transformer retrosynthesis model · USPTO-50k validation | exact-match accuracy | Hurt |
| use product context with DiGress (ablation) | DiGress · USPTO-50k validation | top-5 exact-match accuracy | Helped |
| use RetroBridge instead of template-free baselines | retrosynthesis prediction · USPTO-50k test | top-5 exact-match accuracy: 78.1 -> 80.6 | Helped |
| use RetroBridge instead of LocalRetro | retrosynthesis prediction · USPTO-50k test | top-5 round-trip coverage: 94.7 -> 97.1 | Helped |
Surprising findings
- Without product context, DiGress recovers no reactants, while RetroBridge retains reasonable accuracy because large parts of the product structure persist along the sampling trajectory.
Limitations
- Single-step only; multi-step planning not evaluated.
- Does not predict reaction conditions or reagents, nor reaction type.
- Iterative sampling requires hundreds of forward passes, making inference slower than one-shot methods.
Experimental setup
Datasets: USPTO-50k
Benchmarks: USPTO-50k
Metrics: top-k exact match accuracy round-trip accuracy round-trip coverage
Baselines: GLN LocalRetro GraphRetro MEGAN G2G Augmented Transformer SCROP Graph2SMILES Retroformer DiGress
Builds on: DiGress discrete diffusion models Schrödinger bridge Graph Transformer
Closest papers by meaning
- Advancing Retrosynthesis with Retrieval-Augmented Graph Generation (AAAI 2025 · similarity 0.92)
- RETRO SYNFLOW: Discrete Flow-Matching for Accurate and Diverse Single-Step Retrosynthesis (NeurIPS 2025 · similarity 0.91)
- Retrosynthesis Planning via Worst-path Policy Optimisation in Tree-structured MDPs (NeurIPS 2025 · similarity 0.90)
- RetroOOD: Understanding Out-of-Distribution Generalization in Retrosynthesis Prediction (AAAI 2024 · similarity 0.90)
- Retro-fallback: retrosynthetic planning in an uncertain world (ICLR 2024 · similarity 0.90)
- GDiffRetro: Retrosynthesis Prediction with Dual Graph Enhanced Molecular Representation and Diffusion Generation (AAAI 2025 · similarity 0.90)
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