Perception-based Image Denoising via Generative Compression
Pith reviewed 2026-05-21 13:08 UTC · model grok-4.3
The pith
Generative compression reconstructs noisy images from entropy-coded latents using perceptual losses to achieve better realism than distortion-driven methods.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The paper establishes that perception-based image denoising can be realized via a generative compression approach, where the input is encoded into entropy-coded latent representations enforcing low-complexity structure and then reconstructed using generative decoders optimized with perceptual losses such as LPIPS and Wasserstein distance. Complementary methods include a conditional WGAN that controls the rate-distortion-perception trade-off and a conditional diffusion strategy for guided iterative denoising. Non-asymptotic bounds are provided for the compression-based maximum-likelihood denoiser under additive Gaussian noise, covering reconstruction error and decoding error probability.
What carries the argument
The generative compression framework that uses entropy-coded latent representations to enforce structure and generative decoders with perceptual measures to recover textures.
If this is right
- Perceptual quality improves consistently on synthetic and real-noise image benchmarks compared to distortion-only methods.
- Competitive performance is maintained in terms of traditional distortion metrics.
- Explicit control over the rate-distortion-perception trade-off is possible with the WGAN instantiation.
- Non-asymptotic error bounds apply to the maximum-likelihood denoiser for Gaussian noise cases.
Where Pith is reading between the lines
- The same latent-compression strategy could extend to related tasks such as deblurring or inpainting where perceptual realism matters.
- Practical deployment would require checking whether the generative decoding step adds unacceptable latency in real-time settings.
Load-bearing premise
That entropy-coded latent representations enforce low-complexity structure while generative decoders reliably recover realistic textures via LPIPS and Wasserstein losses without introducing artifacts or distribution shifts.
What would settle it
If perceptual metrics such as LPIPS show no improvement or if visible artifacts increase on real-noise benchmarks compared to standard denoisers, the central performance claim would be refuted.
read the original abstract
Image denoising aims to remove noise while preserving structural details and perceptual realism, yet distortion-driven methods often produce over-smoothed reconstructions, especially under strong noise and distribution shift. This paper proposes a generative compression framework for perception-based denoising, where restoration is achieved by reconstructing from entropy-coded latent representations that enforce low-complexity structure, while generative decoders recover realistic textures via perceptual measures such as learned perceptual image patch similarity (LPIPS) loss and Wasserstein distance. Two complementary instantiations are introduced: (i) a conditional Wasserstein GAN (WGAN)-based compression denoiser that explicitly controls the rate-distortion-perception (RDP) trade-off, and (ii) a conditional diffusion-based reconstruction strategy that performs iterative denoising guided by compressed latents. We further establish non-asymptotic guarantees for the compression-based maximum-likelihood denoiser under additive Gaussian noise, including bounds on reconstruction error and decoding error probability. Experiments on synthetic and real-noise benchmarks demonstrate consistent perceptual improvements while maintaining competitive distortion performance.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript proposes a generative compression framework for image denoising. Noisy images are mapped to entropy-coded latent representations that enforce low-complexity structure; generative decoders then reconstruct realistic textures using perceptual losses such as LPIPS and Wasserstein distance. Two instantiations are described: a conditional WGAN that explicitly trades off rate, distortion and perception, and a conditional diffusion model that performs iterative reconstruction guided by the compressed latents. Non-asymptotic guarantees are claimed for a compression-based maximum-likelihood denoiser under additive Gaussian noise, including bounds on reconstruction error and decoding error probability. Experiments on synthetic and real-noise benchmarks are reported to show perceptual gains while retaining competitive distortion performance.
Significance. If the non-asymptotic bounds can be shown to apply to the actual WGAN and diffusion objectives, and if the experiments supply clear, reproducible quantitative evidence of perceptual improvement, the work would provide a principled route to perception-aware denoising that avoids the over-smoothing typical of pure distortion minimization. The explicit RDP control in the WGAN instantiation and the use of compressed latents to guide diffusion are potentially useful technical contributions.
major comments (2)
- [Abstract] Abstract: The non-asymptotic guarantees on reconstruction error and decoding error probability are stated for the compression-based maximum-likelihood denoiser under additive Gaussian noise. The two concrete methods, however, optimize a conditional WGAN objective that includes LPIPS and Wasserstein losses and an iterative diffusion reconstruction; these objectives deviate from pure maximum-likelihood estimation and may violate the rate-distortion assumptions required for the stated bounds to hold.
- [Theoretical section] Theoretical section (where the guarantees are derived): No derivation steps, assumptions, or proof outline for the non-asymptotic bounds are supplied in the abstract or summary. Without these details it is impossible to assess whether the bounds remain valid once the perceptual terms used in the experiments are introduced.
minor comments (2)
- [Abstract] The abstract would be strengthened by naming at least one dataset and reporting a concrete perceptual metric (e.g., LPIPS delta) rather than the generic statement of 'consistent perceptual improvements'.
- [Experiments] Ensure that all experimental baselines, exact training losses, and hyper-parameter choices for the WGAN and diffusion models are fully specified so that the claimed RDP trade-off can be reproduced.
Simulated Author's Rebuttal
We thank the referee for the constructive feedback. We address the major comments point by point below.
read point-by-point responses
-
Referee: [Abstract] Abstract: The non-asymptotic guarantees on reconstruction error and decoding error probability are stated for the compression-based maximum-likelihood denoiser under additive Gaussian noise. The two concrete methods, however, optimize a conditional WGAN objective that includes LPIPS and Wasserstein losses and an iterative diffusion reconstruction; these objectives deviate from pure maximum-likelihood estimation and may violate the rate-distortion assumptions required for the stated bounds to hold.
Authors: We agree that the non-asymptotic bounds are derived specifically for the compression-based maximum-likelihood denoiser under additive Gaussian noise. The WGAN and diffusion instantiations optimize perceptual objectives (LPIPS and Wasserstein) that go beyond pure MLE and may not satisfy the same assumptions. We do not claim the bounds apply directly to these perceptual methods. We will revise the abstract and add clarifying text in the introduction to explicitly distinguish the theoretical MLE results from the practical generative implementations. revision: yes
-
Referee: [Theoretical section] Theoretical section (where the guarantees are derived): No derivation steps, assumptions, or proof outline for the non-asymptotic bounds are supplied in the abstract or summary. Without these details it is impossible to assess whether the bounds remain valid once the perceptual terms used in the experiments are introduced.
Authors: We acknowledge that the current theoretical section states the bounds without providing derivation steps, assumptions, or a proof outline. This limits assessment of their scope. In the revision we will add a detailed proof sketch, explicit assumptions, and a clear statement that the bounds apply only to the MLE denoiser (separate from the perceptual losses in the WGAN and diffusion experiments). revision: yes
Circularity Check
No significant circularity; theoretical guarantees stated for idealized ML denoiser without reducing to fitted inputs or self-citations
full rationale
The paper's central claim establishes non-asymptotic bounds on reconstruction error and decoding error probability specifically for a compression-based maximum-likelihood denoiser under additive Gaussian noise. This derivation is presented as an independent theoretical result in the manuscript and does not reduce by construction to the LPIPS/Wasserstein losses or diffusion objectives used in the WGAN and iterative reconstruction instantiations. No self-definitional steps, fitted parameters renamed as predictions, or load-bearing self-citations appear in the provided abstract and context. The framework combines existing compression and generative elements in a new way rather than deriving results tautologically from prior self-references. The gap between the ML guarantees and the actual perceptual training losses is a potential correctness issue but does not constitute circularity per the enumerated patterns.
Axiom & Free-Parameter Ledger
Lean theorems connected to this paper
-
IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
We further establish non-asymptotic guarantees for the compression-based maximum-likelihood denoiser under additive Gaussian noise, including bounds on reconstruction error and decoding error probability.
-
IndisputableMonolith/Foundation/AlphaCoordinateFixation.leancostAlphaLog_high_calibrated_iff unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
D(P) = inf ... W2(px, p~x) <= P
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
Works this paper leans on
-
[1]
Perception-based Image Denoising via Generative Compression
INTRODUCTION Image denoising is a key problem in image processing with applications spanning low-light photography, microscopy, and scientific imaging. The objective is to remove noise while preserving structural details and perceptual realism. Classical methods rely on hand-crafted priors such as spar- sity and nonlocal self-similarity, with BM3D being a...
work page internal anchor Pith review Pith/arXiv arXiv 2026
-
[2]
DENOISING VIA PERCEPTION-CONSTRAINED LOSSY COMPRESSION 2.1. Problem Description Denoising is a fundamental problem in signal processing and has recently attracted renewed interest in machine learning. Letx= (x 1, . . . , xn)∈R n + denote an unknown non-negative signal, and lety= (y 1, . . . , yn)be its noisy observation. We assume a memoryless and homogen...
-
[3]
GENERA TIVE COMPRESSION-BASED IMAGE DENOISING In this section, we propose learning-based denoisers that pri- oritize perceptual quality by compressing noisy observations with neural generative compression models, where denoising is performed by reconstructing from a compact latent repre- sentation. 3.1. Perceptual Denoising via Conditional WGAN-based Comp...
-
[4]
EXPERIMENTAL RESULTS We evaluate the denoising performance of the proposed generative compression-based methods on both synthetic and real-world noise, using natural and microscopy image datasets. Comparisons are conducted against representative classical, learning-based, and compression-based denoisers. Baselines include the traditional BM3D [1], learnin...
-
[5]
CONCLUSIONS This paper presented a generative compression framework for perception-based image denoising, where restoration is achieved by reconstructing from entropy-coded latent rep- resentations. Two complementary instantiations were intro- duced: CGanDeCompress, which controls the RDO trade-off via conditional adversarial training, and DiffDeCompress,...
-
[6]
Image denoising by sparse 3-d transform-domain collaborative filtering,
Kostadin Dabov, Alessandro Foi, Vladimir Katkovnik, and Karen Egiazarian, “Image denoising by sparse 3-d transform-domain collaborative filtering,”IEEE Trans- actions on image processing, vol. 16, no. 8, pp. 2080– 2095, 2007
work page 2080
-
[7]
Beyond a gaussian denoiser: Residual learning of deep cnn for image denoising,
Kai Zhang, Wangmeng Zuo, Yunjin Chen, Deyu Meng, and Lei Zhang, “Beyond a gaussian denoiser: Residual learning of deep cnn for image denoising,”IEEE trans- actions on image processing, vol. 26, no. 7, pp. 3142– 3155, 2017
work page 2017
-
[8]
Ffdnet: Toward a fast and flexible solution for cnn-based image denoising,
Kai Zhang, Wangmeng Zuo, and Lei Zhang, “Ffdnet: Toward a fast and flexible solution for cnn-based image denoising,”IEEE Transactions on Image Processing, vol. 27, no. 9, pp. 4608–4622, 2018
work page 2018
-
[9]
Rethinking lossy compression: The rate-distortion-perception tradeoff,
Yochai Blau and Tomer Michaeli, “Rethinking lossy compression: The rate-distortion-perception tradeoff,” inInternational Conference on Machine Learning, 2019, pp. 675–685
work page 2019
-
[10]
Conditional Generative Adversarial Nets
Mehdi Mirza and Simon Osindero, “Conditional gener- ative adversarial nets,”arXiv preprint arXiv:1411.1784, 2014
work page internal anchor Pith review Pith/arXiv arXiv 2014
-
[11]
Wasserstein generative adversarial networks,
Martin Arjovsky, Soumith Chintala, and L ´eon Bottou, “Wasserstein generative adversarial networks,” inIn- ternational Conference on Machine Learning, 2017, pp. 214–223
work page 2017
-
[12]
High-fidelity generative image compression,
Fabian Mentzer, George D. Toderici, Michael Tschan- nen, and Eirikur Agustsson, “High-fidelity generative image compression,” inAdvances in Neural Informa- tion Processing Systems (NeurIPS), 2020
work page 2020
-
[13]
Denoising diffusion probabilistic models,
Jonathan Ho, Ajay Jain, and Pieter Abbeel, “Denoising diffusion probabilistic models,” inAdvances in Neural Information Processing Systems (NeurIPS), 2020
work page 2020
-
[14]
The empiri- cal distribution of rate-constrained source codes,
Tsachy Weissman and Erik Ordentlich, “The empiri- cal distribution of rate-constrained source codes,”IEEE transactions on information theory, vol. 51, no. 11, pp. 3718–3733, 2005
work page 2005
-
[15]
Decompress: Denoising via neural compression,
Ali Zafari, Xi Chen, and Shirin Jalali, “Decompress: Denoising via neural compression,” in2025 IEEE In- ternational Symposium on Information Theory (ISIT), 2025, pp. 1–6
work page 2025
-
[16]
Zero-shot de- noising via neural compression: Theoretical and algo- rithmic framework,
Ali Zafari, Xi Chen, and Shirin Jalali, “Zero-shot de- noising via neural compression: Theoretical and algo- rithmic framework,” inThe Thirty-ninth Annual Confer- ence on Neural Information Processing Systems, 2025
work page 2025
-
[17]
Image quality assessment: Unifying structure and texture similarity,
Keyan Ding, Kede Ma, Shiqi Wang, and Eero P. Simon- celli, “Image quality assessment: Unifying structure and texture similarity,” inProceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recogni- tion (CVPR), 2020, pp. 1854–1863
work page 2020
-
[18]
A the- ory of the distortion-perception tradeoff in wasserstein space,
Dror Freirich, Tomer Michaeli, and Ron Meir, “A the- ory of the distortion-perception tradeoff in wasserstein space,” inAdvances in Neural Information Processing Systems, M. Ranzato, A. Beygelzimer, Y . Dauphin, P.S. Liang, and J. Wortman Vaughan, Eds. 2021, vol. 34, pp. 25661–25672, Curran Associates, Inc
work page 2021
-
[19]
Lossy image compression with conditional diffusion models,
Ruihan Yang and Stephan Mandt, “Lossy image compression with conditional diffusion models,” in Advances in Neural Information Processing Systems (NeurIPS), 2023, vol. 36, pp. 64971–64995
work page 2023
-
[20]
Optimal transport for unsupervised denoising learning,
Wei Wang, Fei Wen, Zeyu Yan, and Peilin Liu, “Optimal transport for unsupervised denoising learning,”IEEE Transactions on Pattern Analysis and Machine Intelli- gence, vol. 45, no. 2, pp. 2104–2118, 2023
work page 2023
-
[21]
Noise2noise: Learning image restoration with- out clean data,
Jaakko Lehtinen, Jacob Munkberg, Jon Hasselgren, Samuli Laine, Tero Karras, Miika Aittala, and Timo Aila, “Noise2noise: Learning image restoration with- out clean data,” inProceedings of the 35th Inter- national Conference on Machine Learning (ICML). PMLR, 2018, pp. 2965–2974
work page 2018
-
[22]
Deep decoder: Concise image representations from untrained non- convolutional networks,
Reinhard Heckel and Paul Hand, “Deep decoder: Concise image representations from untrained non- convolutional networks,” inInternational Conference on Learning Representations, 2019
work page 2019
-
[23]
Image quality assessment: from error vis- ibility to structural similarity,
Zhou Wang, Alan C Bovik, Hamid R Sheikh, and Eero P Simoncelli, “Image quality assessment: from error vis- ibility to structural similarity,”IEEE transactions on image processing, vol. 13, no. 4, pp. 600–612, 2004
work page 2004
-
[24]
Alina Kuznetsova, Hassan Rom, Neil Alldrin, Jasper Ui- jlings, Ivan Krasin, Jordi Pont-Tuset, Shahab Kamali, Stefan Popov, Matteo Malloci, Alexander Kolesnikov, Tom Duerig, and Vittorio Ferrari, “The open images dataset v4: Unified image classification, object detec- tion, and visual relationship detection at scale,”Interna- tional Journal of Computer Vis...
work page 2020
-
[25]
Ntire 2017 chal- lenge on single image super-resolution: Dataset and study,
Eirikur Agustsson and Radu Timofte, “Ntire 2017 chal- lenge on single image super-resolution: Dataset and study,” inProceedings of the IEEE Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), 2017
work page 2017
-
[26]
Andrea Goldsmith,Wireless Communications, Cam- bridge University Press, Cambridge, UK, 2005. A. PROOF OF THEORETICAL RESULT A.1. Proof of Theorem 2 Part I.The proof approach is based on the technique in- troduced in [11]. Recall that the noisy observation is given byy=x+n, wheren∼i.i.d.N(0, σ 2In). Define the compression-based estimator and the oracle rec...
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.