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arXiv cs.LG
arXiv cs.LG
7/13/2026
Reward Transport: Property Control in Flow Matching via Noise-Space Alignment

Reward Transport: Property Control in Flow Matching via Noise-Space Alignment

Short summary

Reward Transport introduces a method to control molecular properties in flow matching by aligning noise vectors with data points via optimal transport coupling. A single scalar coordinate at inference steers generated distributions toward target properties like logP and QED without needing oracle models or gradient guidance. Experiments on ZINC-250K and GuacaMol show monotone property control, with the knob producing opposite structural responses for different targets, ruling out generic size bias.

  • Flow matching coupling repurposed as alignment interface for molecular property control
  • Single scalar coordinate steers generation at inference with no extra computation
  • Validated on ZINC-250K and GuacaMol with monotone logP and consistent QED control

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