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REVIEW 6 major objections 6 minor 40 references

STCL:Curriculum learning Strategies for deep learning image steganography models

T0 review · 6 major / 6 minor · reviewed 2026-08-16 · deepseek-v4-flash

Pith's one-line read Easy-to-hard training curricula lift stego image quality and security

desk verdict A plausible curriculum-learning recipe for image steganography, but the teacher-consistency difficulty score that carries the method is never validated as intrinsic or transferable, and Table 6 actually undercuts the easy-to-hard premise. read the letter →

arxiv 2504.17609 v1 pith:ELLE264S submitted 2025-04-24 cs.CV cs.AIcs.CR

classification cs.CVcs.AIcs.CR MSC 68T0768U10
keywords steganographycurriculumlearningteachermodeldifficultyscoringkneepointschedulingimagequalitymetricssteganalysisdeeptrainingstrategy
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper proposes a curriculum learning training strategy for deep-learning image steganography models. The strategy first scores every training image by how consistently three teacher models of different training maturity preserve stego-image quality in terms of SSIM and PSNR, then splits the data into easy, medium, and hard subsets. Training begins on the easy subset, stops at a knee point where performance growth levels off, and progressively adds the medium and hard subsets until convergence on the full dataset. The authors report that students trained this way beat randomly trained baselines on ALASKA2, VOC2012, and ImageNet, with higher SSIM and PSNR, comparable or better decoding accuracy, and lower steganalysis scores from a XuNet detector.

What carries the argument

The central object is the teacher-model difficulty score from Equations 2 through 4: three teacher models with the same architecture as the student are trained for increasing numbers of epochs, and each training image's difficulty is set by the consistency of SSIM and PSNR of the stego images the teachers produce. An image is classified as easy if all teacher scores lie above thresholds $\alpha_1$ and $\mu_1$, hard if any lies below $\alpha_2$ and $\mu_2$, and medium otherwise. This score carries the argument because it defines the easy-to-hard curriculum, while the knee-point rule sets when to switch stages.

What would settle it

Train a student on the same three-stage schedule but in reverse difficulty order (hard first, easy last) on ALASKA2; if the reverse-curriculum student matches or beats STCL on PSNR, SSIM, and XuNet score, the claim that easy-to-hard ordering causes the gains fails. Alternatively, build the difficulty ranking with one architecture and evaluate the curriculum with a structurally different student; a large drop in the reported advantage would show the ordering does not transfer.

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Extended reading notes

Core claim

The central claim is that ordering steganography training data from easy to hard, according to a teacher-model consistency score, produces stego images of higher visual quality and greater resistance to steganalysis than training on the same data in random order, without sacrificing decoding accuracy. The difficulty score treats an image as easy when all three teachers produce similar high SSIM and PSNR stego versions, and hard when any teacher produces a low-quality stego image. The knee-point schedule stops each early stage just as performance saturates, which the authors argue prevents overfitting on small subsets and accelerates convergence. The paper further claims the strategy transfers across three datasets and two alternative steganography network structures.

Load-bearing premise

The teacher-model consistency score is assumed to be a valid, transferable measure of intrinsic image difficulty for a newly initialized student model; if the ordering is an artifact of the teachers' own training trajectories, the curriculum has no principled basis.

Editorial extensions

If this is right

  • If STCL generalizes as claimed, training steganography models on easy-first curricula should improve stego image quality on flat-color and low-texture regions that hard subsets contain.
  • The knee-point schedule should shorten early training, with stages one and two reaching their stopping point after roughly 15 to 30 epochs on the tested datasets.
  • The strategy should maintain decoding accuracy at or near the random-training baseline while improving image quality, including at higher embedding capacities of 2 to 3 bits per pixel.
  • The reported gains should appear across different steganography network architectures, not only the paper's own encoder-decoder design.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The difficulty ranking produced by SSIM and PSNR consistency is likely to correlate with texture richness, so the same ranking could be reused for cover selection in traditional steganography, not only for curriculum scheduling.
  • A testable prediction is that the ordering transfers across architecture families; one could check whether a difficulty ordering built from teachers of one architecture helps a student of a different architecture as much as the same-architecture case.
  • The knee-point heuristic could be made adaptive by monitoring validation loss rather than fixing hand-set thresholds, but that is a modification the paper does not test.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

6 major / 6 minor

Summary. The paper proposes STCL, a curriculum-learning training strategy for deep-learning image steganography. The method first trains several teacher models of the same architecture for different numbers of epochs, then scores each training image by the consistency of the SSIM and PSNR values achieved by those teachers, and finally divides the training set into Easy, Medium, and Hard subsets. The student model is trained in three stages, starting with the easy subset and adding medium and then hard subsets, with each early stage stopped at a so-called knee point. Experiments on ALASKA2, VOC2012, and ImageNet at 1-3 bpp compare STCL with random-order baseline training on PSNR, SSIM, MSSSIM, RMSE, decoding accuracy, and XuNet steganalysis scores, and additionally report generalization experiments on SteganoGAN and FC-DenseNet. The central claim is that STCL improves stego-image quality and security while maintaining decoding accuracy, and that it generalizes across datasets and model frameworks.

Significance. If the claims were fully supported, the paper would make a useful training-time contribution to deep-learning steganography, since curriculum learning has not been systematically explored for this task. The manuscript has concrete strengths: it reports experiments on three public datasets, includes a security evaluation with XuNet, tests generalization to two other architectures, and releases code. However, the current evidence does not establish the headline claims. The proposed difficulty score is not validated as a transferable measure of intrinsic image difficulty, several reported numbers contradict the text's qualitative claims, and there is no statistical support for the comparisons. These issues affect the core contribution, so the significance is currently conditional on substantial revision.

major comments (6)
  1. [§4.3, Table 1] The claim that STCL maintains or improves decoding accuracy is contradicted by multiple cells. For example, ALASKA2 D=2 accuracy drops from 0.99 (Baseline) to 0.92 (STCL); ImageNet D=2 drops from 0.99 to 0.73; and VOC2012 D=3 drops from 0.92 to 0.83. The text in §4.3 states that accuracy is "slightly higher than the baseline scheme at 1-2bpp steganographic capacity," which is not supported by these rows. The authors need to correct the overclaim and either explain the trade-off or restrict the claim to the settings where it holds.
  2. [§3.1, Eq. (4)] Equation (4) is not reproducible as written. The condition for "Easy" is "(Sij(xi,x_i) ≥ α1 and Pij(xi,x_i) ≥ μ1)", but Sij and Pij are defined as scalar scores for sample xi under teacher Tj, so the notation with two arguments is undefined; more importantly, the formula does not state whether the inequality must hold for all teachers j, for at least one teacher, or on average. Since this rule determines the Easy/Medium/Hard partition that drives the entire method, the ambiguity directly affects the validity of all subsequent experiments.
  3. [§3.1 and §4.3.5, Table 6] The internal evidence does not support the premise that the Hard subset is actually harder. In Table 6, the NoCL baseline PSNR on the ImageNet Hard subset is 35.389, which is higher than the Easy subset's 34.126; for VOC2012, the Hard subset PSNR is 34.337 versus 32.108 on Easy. The text in §4.3.5 claims that "the model without the STCL strategy performs poorly on the difficult subset, and each of the hidden writing metrics is lower than the test results on the simple and medium subsets," which is directly contradicted by these rows. This undermines the teacher-consistency difficulty score as a valid measure of intrinsic image difficulty.
  4. [§3.1-§3.2 and §4.2] The difficulty score is computed with teacher models that share the same architecture and the same SSIM/PSNR-family losses that are later used to evaluate the student, and the thresholds α1, α2, μ1, μ2 are hand-set (with values 0.9, 0.8, 20, 12) with no sensitivity analysis. The paper provides no evidence that the resulting difficulty ordering transfers to a newly initialized student or to a different architecture. Without such validation, the reported improvements could be an artifact of subset composition, threshold choice, or initialization rather than of an easy-to-hard curriculum.
  5. [§4.3, Tables 1-6] No error bars, repeated runs, or significance tests are reported anywhere in the experimental section. Several of the improvements are extremely small (for example, SSIM 0.9934 versus 0.9932 for VOC2012 D=2 in Table 1), and without an estimate of run-to-run variance it is impossible to assess whether STCL improves over random-order training beyond chance. The authors should provide multiple seeds and a statistical comparison for the main tables.
  6. [§4.3.7] There are citation and description inconsistencies in the generalization experiments. "SteganoGAN [17]" does not point to reference [17] (which is RoSteALS), and "FC-DenseNet [32]" points to a speaker-verification paper rather than a DenseNet-based steganography model. In addition, §3.1 calls the teacher model a "three-way adversarial model," but the base model described in §4.2 is an encoder-decoder trained with SSIM/MSSSIM/RMSE and binary-cross-entropy losses, with no adversarial component; the discrepancy should be resolved.
minor comments (6)
  1. [§4.3] There are two items labeled "6)" in Section 4.3: "Comparison of training convergence nodes" and "Security Testing". The numbering should be corrected.
  2. [§3.1] Equation (1) introduces CN, but the method uses only three teacher models T1, T2, T3, while Figure 1 shows an arbitrary number N of teachers; the relationship between these should be clarified.
  3. [§4.3.7] The sentence "the input RGB image in Duan et al.'s study [32] is modified to binary information" appears to cite the wrong reference, since [32] is a speaker-verification paper and not a study on RGB image steganography.
  4. [Figure 2] The caption contains the typo "ASKAKS2" for ALASKA2.
  5. [§4.2] The text states that max_iter is 120, but later says the first training stage takes 15-30 epochs to reach the knee point. Please clarify whether 120 refers to epochs or to iterations, and how "epoch" and "iteration" are used in the protocol.
  6. [Throughout] Grammatical issues such as "an knee point" and the long, repetitive introduction should be corrected; these do not affect the technical content but reduce readability.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: STCL is an empirical curriculum-learning heuristic whose reported gains are not forced by construction.

full rationale

The paper's load-bearing element is a teacher-model consistency difficulty score (Eqs. 2-4) plus a knee-point scheduling rule. Nothing in the derivation reduces the claimed outcome to the inputs. The difficulty labels are produced by separately trained teacher models with the same architecture and loss, but they are not defined in terms of the final student's test performance, and the final SSIM/PSNR/accuracy/steganalysis numbers are measured on held-out test sets. The thresholds alpha1, alpha2, mu1, mu2 are hyperparameters, not fitted values renamed as predictions; Tables 1-9 compare whole training strategies rather than reporting a fitted quantity as a prediction. There are no load-bearing self-citations: the paper cites external curriculum-learning and steganography literature, and no uniqueness theorem or prior-work claim by the same authors is invoked to force the design. The metric alignment (difficulty computed from SSIM/PSNR, evaluation also SSIM/PSNR) raises a legitimate transfer-validity and overfitting-to-metric concern, and Table 6 even shows some 'hard' subsets with baseline PSNR above 'easy' subsets, but these are empirical weaknesses, not equation-level circularity. Under the stated standard of requiring a specific reduction by construction, no circular step can be exhibited; score 0.

Assumptions & free parameters 3 free parameters · 3 assumptions · 0 invented entities

The central claim relies on several unverified premises: the validity of teacher-consistency difficulty scores, the existence and detectability of knee points, and the general benefit of curriculum learning for steganography. The free parameters are mostly hand-set or unreported, which means the reader pays for the difficulty ordering without a principled derivation.

free parameters (3)
  • Difficulty thresholds alpha1, alpha2, mu1, mu2 = 0.9, 0.8, 20, 12 (Section 4.2)
    Used in Eq. 4 to split easy/medium/hard subsets; authors state they were tested and verified in several datasets, so they are tuned rather than derived.
  • Teacher model training lengths C1, C2, C3, CN = not reported
    The paper requires C1<C2<C3<CN but never gives values; these control teacher quality and thus all difficulty labels.
  • Knee point stopping criterion = qualitative
    Stopping at the point where rapid progress becomes leveling off is a heuristic with no formal definition, making the schedule a fitted choice per dataset.
assumptions (3)
  • domain assumption Curriculum learning improves convergence and generalization for non-convex optimization (Bengio et al. 2009).
    The whole method rests on this claim, imported from prior work rather than tested here.
  • ad hoc to paper Consistency of SSIM/PSNR across teacher models is a valid proxy for sample difficulty in steganography (Eq. 2-4).
    No evidence is provided that the teacher-consistency ordering transfers to a differently initialized student or to other steganography architectures.
  • ad hoc to paper A knee point exists in each training stage and stopping there improves final performance.
    Table 7 gives some empirical support, but no formal characterization or detection algorithm is given.

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Cite this review

Pith. "Pith review of STCL:Curriculum learning Strategies for deep learning image steganography models." pith.science (2026). https://pith.science/paper/ELLE264S

@misc{pith2026250417609,
  author       = {Pith},
  title        = {Pith review of: STCL:Curriculum learning Strategies for deep learning image steganography models},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/ELLE264S}},
  note         = {Machine review of arXiv:2504.17609}
}
read the original abstract

Aiming at the problems of poor quality of steganographic images and slow network convergence of image steganography models based on deep learning, this paper proposes a Steganography Curriculum Learning training strategy (STCL) for deep learning image steganography models. So that only easy images are selected for training when the model has poor fitting ability at the initial stage, and gradually expand to more difficult images, the strategy includes a difficulty evaluation strategy based on the teacher model and an knee point-based training scheduling strategy. Firstly, multiple teacher models are trained, and the consistency of the quality of steganographic images under multiple teacher models is used as the difficulty score to construct the training subsets from easy to difficult. Secondly, a training control strategy based on knee points is proposed to reduce the possibility of overfitting on small training sets and accelerate the training process. Experimental results on three large public datasets, ALASKA2, VOC2012 and ImageNet, show that the proposed image steganography scheme is able to improve the model performance under multiple algorithmic frameworks, which not only has a high PSNR, SSIM score, and decoding accuracy, but also the steganographic images generated by the model under the training of the STCL strategy have a low steganography analysis scores. You can find our code at \href{https://github.com/chaos-boops/STCL}{https://github.com/chaos-boops/STCL}.

Figures

Figures reproduced from arXiv: 2504.17609 by the authors.

Figure 1
Figure 1. Difficulty Evaluation Strategies Based on Teacher Models. [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Training subsets with different difficulties obtained by the teacher model difficulty evaluation method. [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Multi-stage scheduling rules based on knee points. [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figures from the paper (6 more)
Figure 4
Figure 4. Figure 4: As can be seen from Figure. 4, the steganographic images at 1-3 bpp steganographic capacity are more similar to [PITH_FULL_IMAGE:figures/full_fig_p010_4.png]
Figure 4
Figure 4. Figure 4: Comparison of cover and stego images under 1-3 bpp capacity steganography. [PITH_FULL_IMAGE:figures/full_fig_p012_4.png]
Figure 5
Figure 5. Figure 5: Comparison of stego image generated by multi-stage model and cover image. [PITH_FULL_IMAGE:figures/full_fig_p013_5.png]
Figure 6
Figure 6. Figure 6: Comparative validation using STCL. Cover Stego Cover Stego Cover Stego Cover Stego [PITH_FULL_IMAGE:figures/full_fig_p014_6.png]
Figure 7
Figure 7. Figure 7: Histogram comparison of the cover and the stego image. [PITH_FULL_IMAGE:figures/full_fig_p014_7.png]
Figure 8
Figure 8. Figure 8: A knee point located between rapid progress and convergence of models. [PITH_FULL_IMAGE:figures/full_fig_p015_8.png]

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Reviewed August 16, 2026 · model on record in the stance chip above.