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CrystalBoltz: End-to-End Protein Structure Determination via Experiment-Guided Diffusion for X-Ray Crystallography

arXiv 2605.15564 ↗First posted 15 May 2026cs.LG cs.CE eess.IVcited by 0

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Abstract (arXiv)

Generative models trained on public databases of protein structures, most of which have been determined by X-ray crystallography, now provide powerful priors for structure prediction. However, they are not readily conditioned on the measurements from a new crystallographic experiment, limiting their use for X-ray structure determination. In crystallography, the measured structure-factor amplitudes do not by themselves determine an electron density map or atomic structure because the associated phases are unobserved and must be inferred. Structure determination therefore remains an inverse problem in which candidate models must be both structurally plausible and consistent with measured diffraction data, often requiring substantial manual refinement by human experts. Emerging methods aim to incorporate experimental information more directly into predictive and refinement workflows. We present CrystalBoltz, a generative framework that casts crystallographic refinement as Bayesian inference over atomic structures and operates directly on structure-factor amplitudes. CrystalBoltz moves from unguided generation with a pre-trained prior over protein structures to experiment-guided posterior sampling, followed by atomic coordinate and B-factor refinement. Across multiple protein crystallography datasets, CrystalBoltz attains lower coordinate RMSD and lower R-factors than the strongest baselines considered, while reducing runtime by a factor of 33 relative to existing experimentally guided refinement.

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References · 7

  1. 2022Diffusion Posterior Sampling for General Noisy Inverse Problemscited by 1,375
  2. 2024A Survey on Diffusion Models for Inverse Problemscited by 173
  3. 2024Improving Diffusion Inverse Problem Solving with Decoupled Noise Annealingcited by 157
  4. 2024Solving Inverse Problems in Protein Space Using Diffusion-Based Priorscited by 13
  5. 2025Multiscale guidance of protein structure prediction with heterogeneous cryo-EM datacited by 8
  6. 2026Robust Inference-Time Steering of Protein Diffusion Models via Embedding Optimizationcited by 6
  7. 2025Dual Ascent Diffusion for Inverse Problemscited by 3

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  2. 2026Let CSP Be Your ANCHOR: Adaptive Crystal Search over Frozen Structure Priors
  3. 2026XRDiff: Crystal Structure Prediction from Powder X-Ray Diffraction Data Using Diffusion Models
  4. 2026APO: Unsupervised Atomic Policy Optimization for 3D Structure Prediction of Atomic Systems
  5. 2026Deep Generative Crystal Structure Prediction: A Benchmark Study and a Controlled Test of Prototype Dependence
  6. 2026Generative structure search for efficient and diverse discovery of molecular and crystal structures
  7. 2026CrystalReasoner: Reasoning and RL for Property-Conditioned Crystal Structure Generation
  8. 2026CrystalXRD-Bench: Benchmarking Vision-Language Models for XRD Peak Indexing Across Diverse Crystalline Materials