Recognition: no theorem link
Towards reconstructing experimental sparse-view X-ray CT data with diffusion models
Pith reviewed 2026-05-15 22:39 UTC · model grok-4.3
The pith
Diffusion priors trained on diverse synthetic data reconstruct experimental sparse-view X-ray CT scans better than narrow priors, with annealing reducing mismatch artifacts.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Diffusion priors from synthetic image sets can be used for experimental sparse-view CT reconstruction via decomposed diffusion sampling; severe domain shift causes model collapse and hallucinations, diverse priors outperform narrowly matched ones, and forward-model mismatch pulls samples off the prior manifold producing artifacts that annealed likelihood schedules mitigate while improving efficiency. Performance gains seen on synthetic benchmarks therefore do not translate immediately to real data.
What carries the argument
Decomposed Diffusion Sampling scheme that integrates a learned diffusion prior with the CT measurement operator through annealed likelihood schedules.
If this is right
- Severe domain mismatch between training images and the target object produces hallucinations and model collapse during reconstruction.
- Priors trained on more diverse synthetic data sets yield higher-quality reconstructions than those trained on data narrowly matched to the target.
- Forward-model mismatch between the learned prior and real measurements creates artifacts that annealed likelihood schedules can reduce.
- Annealed schedules also lower the computational cost of sampling.
- Synthetic performance gains must be re-validated on physical measurements before clinical use.
Where Pith is reading between the lines
- Training diffusion models on broader ranges of synthetic anatomy could increase robustness when the exact target distribution is unknown.
- Annealed likelihood weighting may transfer to other linear inverse problems that combine learned priors with physical forward models.
- Benchmarks built around physical phantoms are required to determine which synthetic improvements survive the transition to measured data.
Load-bearing premise
The physical phantom used for experimental measurements sufficiently resembles the synthetic Shepp-Logan phantom that the observed effects of domain shift and forward-model mismatch will hold for other real data.
What would settle it
Reconstruct the experimental sparse-view data with the narrow prior and with the diverse prior; if the narrow prior produces fewer hallucinations or artifacts than the diverse prior, or if annealing produces no visible reduction in artifacts relative to standard sampling, the central claims are falsified.
Figures
read the original abstract
Diffusion-based image generators are promising priors for ill-posed inverse problems like sparse-view X-ray Computed Tomography (CT). As most studies consider synthetic data, it is not clear whether training data mismatch (``domain shift'') or forward model mismatch complicate their successful application to experimental data. We measured CT data from a physical phantom resembling the synthetic Shepp-Logan phantom and trained diffusion priors on synthetic image data sets with different degrees of domain shift towards it. Then, we employed the priors in a Decomposed Diffusion Sampling scheme on sparse-view CT data sets with increasing difficulty leading to the experimental data. Our results reveal that domain shift plays a nuanced role: while severe mismatch causes model collapse and hallucinations, diverse priors outperform well-matched but narrow priors. Forward model mismatch pulls the image samples away from the prior manifold, which causes artifacts but can be mitigated with annealed likelihood schedules that also increase computational efficiency. Overall, we demonstrate that performance gains do not immediately translate from synthetic to experimental data, and future development must validate against real-world benchmarks.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript investigates the use of diffusion models as priors for sparse-view X-ray CT reconstruction on experimental data. It trains priors on synthetic image datasets with controlled degrees of domain shift relative to measurements from a physical phantom resembling the Shepp-Logan phantom, then applies them via Decomposed Diffusion Sampling to sparse-view CT datasets of increasing difficulty up to real experimental data. The central claims are that severe domain mismatch causes model collapse and hallucinations, diverse priors outperform narrow but well-matched priors, forward-model mismatch induces artifacts that can be mitigated by annealed likelihood schedules, and performance gains from synthetic settings do not directly translate to experimental data.
Significance. If the empirical claims are substantiated with quantitative validation, the work would be significant for the application of generative priors to ill-posed inverse problems in medical imaging. It offers concrete guidance on the value of prior diversity and annealing strategies when bridging synthetic training to real measurements, and the caution that synthetic-to-experimental transfer is not automatic is a useful contribution to the field.
major comments (2)
- [Abstract] Abstract: The assertion that the physical phantom 'resembles' the synthetic Shepp-Logan phantom lacks any quantitative support (e.g., FID, MMD, intensity histogram overlap, or edge-density statistics between physical scans and the training sets). This is load-bearing for the domain-shift claims, as it prevents clean isolation of mismatch effects from possible unmodeled differences in phantom complexity or acquisition artifacts.
- [Abstract] Abstract: The description of experiments and observations on model collapse, hallucinations, and mitigation by annealed schedules is entirely qualitative; no reconstruction metrics, error bars, statistical tests, or quantitative comparisons across training regimes are reported. This weakens verification of the nuanced role attributed to domain shift and forward-model mismatch.
minor comments (1)
- [Abstract] Abstract: The term 'Decomposed Diffusion Sampling' is used without a one-sentence definition or pointer to its formulation, which reduces accessibility for readers outside the immediate subfield.
Simulated Author's Rebuttal
We thank the referee for the constructive comments highlighting the need for stronger quantitative support. We address each point below and will revise the manuscript accordingly to improve clarity and verifiability of our claims on domain shift and forward-model mismatch.
read point-by-point responses
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Referee: [Abstract] Abstract: The assertion that the physical phantom 'resembles' the synthetic Shepp-Logan phantom lacks any quantitative support (e.g., FID, MMD, intensity histogram overlap, or edge-density statistics between physical scans and the training sets). This is load-bearing for the domain-shift claims, as it prevents clean isolation of mismatch effects from possible unmodeled differences in phantom complexity or acquisition artifacts.
Authors: We agree that quantitative measures would strengthen the domain-shift analysis. In the revised manuscript we will add a table or supplementary figure reporting intensity histogram overlap, edge-density statistics, and MMD between the physical phantom scans and the synthetic training sets. This will better isolate mismatch effects from other factors. revision: yes
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Referee: [Abstract] Abstract: The description of experiments and observations on model collapse, hallucinations, and mitigation by annealed schedules is entirely qualitative; no reconstruction metrics, error bars, statistical tests, or quantitative comparisons across training regimes are reported. This weakens verification of the nuanced role attributed to domain shift and forward-model mismatch.
Authors: We acknowledge that the abstract and experimental discussion are primarily qualitative. The main text reports PSNR/SSIM for synthetic cases, but to substantiate the claims on collapse, hallucinations, and annealing we will add quantitative metrics with error bars and statistical comparisons across regimes to the abstract and results section in the revision. revision: yes
Circularity Check
No circularity; empirical comparisons across training regimes and data types
full rationale
The paper trains diffusion priors on synthetic datasets with varying degrees of domain shift toward a physical phantom, then applies them via Decomposed Diffusion Sampling to sparse-view CT reconstructions of increasing difficulty up to experimental data. Key claims (diverse priors outperforming narrow ones, annealed schedules mitigating forward-model mismatch) follow directly from reported performance differences across these controlled regimes. No equations, fitted parameters, or self-citations are shown to reduce the central results to inputs by construction. The phantom-resemblance statement is an assumption but does not create a definitional or predictive loop within the derivation.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Diffusion models trained on image distributions can serve as effective priors for ill-posed inverse problems such as sparse-view CT reconstruction
Reference graph
Works this paper leans on
-
[1]
E. Y . Sidky and X. Pan, “Image reconstruction in circular cone-beam computed tomography by constrained, total-variation minimization,” Physics in Medicine & Biology, vol. 53, no. 17, pp. 4777–4807, 2008
work page 2008
-
[2]
G.-H. Chen, J. Tang, and S. Leng, “Prior image constrained compressed sensing (piccs): a method to accurately reconstruct dynamic ct im- ages from highly undersampled projection data sets,”Medical physics, vol. 35, no. 2, pp. 660–663, 2008
work page 2008
-
[3]
Deep con- volutional neural network for inverse problems in imaging,
K. H. Jin, M. T. McCann, E. Froustey, and M. Unser, “Deep con- volutional neural network for inverse problems in imaging,”IEEE transactions on image processing, vol. 26, no. 9, pp. 4509–4522, 2017
work page 2017
-
[4]
Learn: Learned experts’ assessment- based reconstruction network for sparse-data ct,
H. Chen, Y . Zhang, Y . Chen, J. Zhang, W. Zhang, H. Sun, Y . Lv, P. Liao, J. Zhou, and G. Wang, “Learn: Learned experts’ assessment- based reconstruction network for sparse-data ct,”IEEE transactions on medical imaging, vol. 37, no. 6, pp. 1333–1347, 2018
work page 2018
-
[5]
Learned primal-dual reconstruction,
J. Adler and O. ¨Oktem, “Learned primal-dual reconstruction,”IEEE transactions on medical imaging, vol. 37, no. 6, pp. 1322–1332, 2018
work page 2018
-
[6]
Solving inverse problems in medical imaging with score-based generative models,
Y . Song, L. Shen, L. Xing, and S. Ermon, “Solving inverse problems in medical imaging with score-based generative models,” inInternational Conference on Learning Representations, 2022
work page 2022
-
[7]
Improving diffusion models for inverse problems using manifold constraints,
H. Chung, B. Sim, D. Ryu, and J. C. Ye, “Improving diffusion models for inverse problems using manifold constraints,” in36th Conference on Neural Information Processing Systems, NeurIPS 2022. Neural information processing systems foundation, 2022
work page 2022
-
[8]
Diffusion posterior sampling for general noisy inverse problems,
H. Chung, J. Kim, M. T. Mccann, M. L. Klasky, and J. C. Ye, “Diffusion posterior sampling for general noisy inverse problems,” inThe Eleventh International Conference on Learning Representations, 2023
work page 2023
-
[9]
Improving diffusion inverse problem solving with decoupled noise an- nealing,
B. Zhang, W. Chu, J. Berner, C. Meng, A. Anandkumar, and Y . Song, “Improving diffusion inverse problem solving with decoupled noise an- nealing,” inProceedings of the Computer Vision and Pattern Recognition Conference, 2025, pp. 20 895–20 905
work page 2025
-
[10]
Decomposed diffusion sampler for accelerating large-scale inverse problems,
H. Chung, S. Lee, and J. C. Ye, “Decomposed diffusion sampler for accelerating large-scale inverse problems,” in12th International Conference on Learning Representations, ICLR 2024, 2024
work page 2024
-
[11]
Denoising diffusion probabilistic models,
J. Ho, A. Jain, and P. Abbeel, “Denoising diffusion probabilistic models,” Advances in neural information processing systems, vol. 33, pp. 6840– 6851, 2020
work page 2020
-
[12]
Denoising Diffusion Implicit Models
J. Song, C. Meng, and S. Ermon, “Denoising diffusion implicit models,” arXiv preprint arXiv:2010.02502, 2020
work page internal anchor Pith review Pith/arXiv arXiv 2010
-
[13]
Tweedie’s formula and selection bias,
B. Efron, “Tweedie’s formula and selection bias,”Journal of the Amer- ican Statistical Association, vol. 106, no. 496, pp. 1602–1614, 2011
work page 2011
-
[14]
Improved denoising diffusion probabilis- tic models,
A. Q. Nichol and P. Dhariwal, “Improved denoising diffusion probabilis- tic models,” inInternational conference on machine learning. PMLR, 2021, pp. 8162–8171
work page 2021
-
[15]
The perception-distortion tradeoff,
Y . Blau and T. Michaeli, “The perception-distortion tradeoff,” inPro- ceedings of the IEEE conference on computer vision and pattern recognition, 2018, pp. 6228–6237
work page 2018
-
[16]
On hallucinations in tomographic image reconstruction,
S. Bhadra, V . A. Kelkar, F. J. Brooks, and M. A. Anastasio, “On hallucinations in tomographic image reconstruction,”IEEE transactions on medical imaging, vol. 40, no. 11, pp. 3249–3260, 2021
work page 2021
-
[17]
sFRC for assessing hallucinations in medical image restoration
P. Kc, R. Zeng, N. Soni, and A. Badano, “sfrc for assessing hallucina- tions in medical image restoration,”arXiv preprint arXiv:2603.04673, 2026
work page internal anchor Pith review Pith/arXiv arXiv 2026
discussion (0)
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