Calibrating Generative Models to Distributional Constraints
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Abstract (arXiv)
Generative models frequently suffer miscalibration, wherein statistics of the sampling distribution, such as the fraction of generations in a given class, deviate from desired values. We frame calibration as a constrained optimization problem and seek the closest model in Kullback-Leibler divergence satisfying a calibration constraint. To address the intractability of imposing these constraints exactly, we introduce two surrogate objectives for fine-tuning: (1) the relax loss, which replaces the constraint with a miscalibration penalty, and (2) the reward loss, which converts calibration into a reward fine-tuning problem. We demonstrate that these approaches substantially reduce calibration error across hundreds of simultaneous constraints and models with up to nine billion parameters, spanning applications in protein design, image generation, and language modeling.
Key facts. Cited by 5 papers in the map (data through 7 Oct 2026). Builds on 41 of its 96 references that are in the map. First posted on arXiv 11 Oct 2025.
Builds on
41 of 96 references.
References · 41
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29 more
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Built on by
Citing papers per year: 2026: 5.
5 papers.
- 2026Bridging the Simulation-to-Experiment Gap with Generative Models using Adversarial Distribution Alignmentcited by 1
- 2026The Reward Was in Your Data All Along: Correcting Flow Matching with Discriminator-Guided RLcited by 0
- 2026Calibrating Generative Models to Feature Distributions with MMD Finetuningcited by 0
- 2026A Mean-Field Framework for Inference-Time Distributional Control of Diffusion Modelscited by 0
- 2026SupraTITO: Transferable Generative Molecular Dynamics for Supramolecular Systemscited by 0
- 2026SupraTITO: Transferable Generative Molecular Dynamics for Supramolecular Systems1 Oct 2026
- 2026A Mean-Field Framework for Inference-Time Distributional Control of Diffusion Models9 Aug 2026
- 2026Calibrating Generative Models to Feature Distributions with MMD Finetuning17 Jun 2026
- 2026The Reward Was in Your Data All Along: Correcting Flow Matching with Discriminator-Guided RL17 Jun 2026
- 2026Bridging the Simulation-to-Experiment Gap with Generative Models using Adversarial Distribution Alignment1 Apr 2026