REVIEW 4 major objections 7 minor 5 cited by
SegKAN: High-Resolution Medical Image Segmentation with Long-Distance Dependencies
T0 review · 4 major / 7 minor · reviewed 2026-08-10 · deepseek-v4-flash
Pith's one-line read SegKAN turns image patch positions into time steps to lift vessel segmentation Dice to 69.02%.
desk verdict A plausible but under-specified architecture paper: the reported Dice gain on hepatic vessel segmentation cannot be attributed to the proposed temporal-positional mechanism until the patch ordering is specified and the code is released. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The two load-bearing modules are PTSN and FKAC. PTSN is a gated recurrent cell, defined by Eqs. 1-5, that mixes a sigmoid-gated copy of the input with a tanh-transformed version, $hid = h_{input} \odot G + (1-G) \odot H$, and updates a memory cell $c$; it operates over a sequence of 3D patches so that spatial position becomes temporal order. FKAC is an embedding layer in which each kernel element is the learnable Fourier activation $\phi_F(x) = \sum_{i=1}^{d} \sum_{k=1}^{g} (\cos(k x_i) a_{ik} + \sin(k x_i) b_{ik})$, wrapped by 1x1 compression and expansion convolutions with a residual connection. The Fourier basis functions replace B-splines, reducing the computational load of KAN convolutions while the convolutions smooth noise before the recurrent stage.
What would settle it
Train SegKAN on the same Hepatic Vessel data with the patch sequence order shuffled (for example, a random permutation instead of the paper's fixed order); if average Dice stays at 69.02%, the temporal encoding is not carrying the positional information, and the reported gain would not be due to the spatial-to-temporal conversion claimed.
Extended reading notes
Core claim
On the paper's own terms, the central discovery is that a position-temporal sequence network (PTSN) combined with a Fourier-based KAN convolution (FKAC) outperforms established transformer-based segmenters on hepatic vessel and tumor segmentation. By feeding 3D patches into a gated recurrent cell in sequence, the model encodes each patch's place in the volume as a step in time, so the recurrence accumulates context along the ordering; the Fourier basis in the FKAC embedding replaces spline-based KAN activations with cosine and sine terms, cutting complexity while preserving nonlinear fitting. The reported results are an average Dice of 69.02%, with vessel Dice 65.90% and tumor Dice 72.14%, compared with TransUNet's 67.24%, 64.58%, and 69.89% respectively, and the ablation attributes the gain to the PTSN-FKAC combination.
Load-bearing premise
The claim depends on the assumption that a fixed sequential ordering of the 3D patches, fed into the gated recurrent cell, faithfully represents spatial position and long-range vessel structure; the paper does not specify the ordering rule or show that recurrence over that order recovers spatial locality better than attention.
Editorial extensions
If this is right
- If the 69.02% average Dice holds, SegKAN becomes the reported state of the art on the MSD Hepatic Vessel benchmark, ahead of TransUNet by 1.78 points.
- The 16-patch setting outperforms both 8 and 32 patches, implying that a moderate patch count balances context and detail; models tuned for elongated structures should search this split.
- Because PTSN outperforms LSTM, SimpTime, and Mamba inside the same SegKAN backbone (69.02 versus 68.55, 66.83, and 67.10), the specific gated mechanism matters, not just recurrent processing.
- The ablation attributes a 2.54-point gain to combining FKAC and PTSN over the baseline, so the two modules are complementary rather than redundant.
- The approach is designed for elongated structures, so a direct corollary is that similar gains may appear on other thin or tubular anatomies such as retinal vessels or airways if the same modules are reused.
Reading between the lines
- A likely testable extension is replacing the unspecified patch order with a learned or anatomically informed ordering (for example, tracing vessel branches), which could push Dice further if positional encoding is the active ingredient.
- Because the Fourier FKAC replaces splines, the same module could transfer to other high-resolution 3D segmentation tasks where noise and gradient instability are bottlenecks, not just hepatic vessels.
- If recurrence over patches is the mechanism, the approach might be combined with lightweight attention to see whether the two ways of modeling long-range context complement each other at lower compute than full transformers.
- The paper leaves open how the patch sequence is ordered; testing whether a random order preserves the reported Dice would separate the recurrence's effect from the specific spatial encoding.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript proposes SegKAN, a network for hepatic vessel and tumor segmentation from 3D CT images. Two components are introduced: PTSN, a gated recurrent cell that converts spatial relationships among 3D patches into temporal sequence relationships (Eqs. 1-5), and FKAC, a Fourier-based KAN convolution embedding that smooths noise and mitigates gradient issues (Eqs. 6-8). Experiments on the MSD Hepatic Vessel dataset report an average Dice of 69.02%, outperforming TransUNet (67.24%) by 1.78 points, with ablations on the two modules, alternative temporal processors, and the number of patches. The paper claims the gains demonstrate that transforming spatial patch relations into temporal relationships improves long-distance vessel segmentation.
Significance. If the reported gains are reproducible, SegKAN would offer a modest but useful improvement over a strong Transformer baseline on a challenging elongated-structure segmentation task, and the PTSN idea of temporal encoding of patch order is a plausible alternative to positional embeddings. The paper is honest about its limited scope: a single dataset, no code release yet, and no statistical significance analysis. The ablation comparing PTSN with LSTM and Mamba is a useful sanity check. However, the significance is tempered by the absence of any description of the patch partitioning and ordering rule, which is the core mechanism being claimed; without that, the central attribution of the improvement to temporal-positional encoding cannot be assessed. The Fourier-based KAN embedding is a reasonable engineering variation of existing KAN convolution ideas, but its novelty over prior KAN and Fourier-network work is incremental.
major comments (4)
- [III-A and Figure 3] The PTSN mechanism is defined only through the gated equations (1)-(5); the manuscript never states how a 3D volume is partitioned into patches, what patch size or stride is used, or in what spatial order the patches are fed into the recurrent cell. Since the abstract and Section I attribute the performance gain to 'inputting the patch sequence into the model in a temporal sequence manner' to 'reinforce the positional relationship between patches,' the ordering rule is load-bearing. A fixed 1D raster order cannot faithfully represent full 3D adjacency, and different orderings (raster, space-filling curve, random) would yield different effective neighborhood structures. The reported Dice improvement cannot currently be attributed to the proposed temporal-positional mechanism, and the experiment is irreproducible without this specification.
- [IV-D and Table IV] The number of patches (8, 16, 32) is selected using the same evaluation metric (average Dice) and the same five-fold cross-validation protocol as the headline result in Table I. This is a selection-on-the-test-set procedure: the reported 69.02% is the best of three configuration choices, so the comparison against TransUNet is optimistically biased by the configuration search. The paper should either report all configurations against all baselines, or use a separate validation split for hyperparameter selection, or provide a corrected significance statement.
- [IV-D, Table II and the accompanying text] The ablation text states that 'the model's DSC improving by 2.54% compared to the baseline,' but Table II shows baseline average 66.57 and full model average 69.02, a difference of 2.45 points. The 2.54% figure appears if one takes the relative improvement (2.45/66.57 ≈ 3.68%) or possibly another arithmetic path, but as written it is inconsistent with the table. This inconsistency, combined with the absence of error bars, makes it impossible to judge whether the 2.45-point difference is meaningful relative to run-to-run variance; the paper should report standard deviations or per-fold results.
- [IV-C and Table I] The comparison table reports results for TransUNet (67.24% average) and other methods, but the text does not describe how these baselines were trained: the same data splits, preprocessing, loss function, and training schedule are not stated. Given that the reported gain over TransUNet is 1.78 points, and given the configuration-selection issue in Table IV, the reader cannot rule out that the improvement comes from training details rather than the proposed modules. The authors should provide the baseline training protocol and, ideally, code or a detailed reproducibility appendix.
minor comments (7)
- [Abstract and Section I] The abstract says 'the Dice score improved by 1.78%,' but the conventional reading of a percentage-point improvement from 67.24 to 69.02 is 1.78 percentage points, not 1.78 percent. Please rephrase for clarity.
- [Section III-B, Eq. (6)] Eq. (6) contains a formatting error: 'φ = wb · SiLU(x) = x / (1 + e^{-x}) + ws · Spline(x)' presents an equality between the whole expression and a term that is only part of the expression. This should be rewritten, for example as φ(x) = w_b·SiLU(x) + w_s·Spline(x), to be mathematically coherent.
- [Section III-B, Eq. (8)] The Fourier basis in Eq. (8) sums over cos(k x_i) and sin(k x_i) with coefficients a_{ik} and b_{ik}, but the dependency of the coefficients on the feature index i and frequency k is clear only implicitly. The notation should be defined explicitly, and the relationship to the compression/expansion convolution described in the text should be clarified.
- [Section IV-B] The training protocol says 'the model was trained for 1000 iterations,' which is unusually short for a 3D medical segmentation task with a 443-case dataset and five-fold cross-validation. If this is intentional, please explain; if it is a typo (e.g., 1000 epochs), correct it. The learning rate of 0.01 also seems high for a Transformer-based model; please state the optimizer, scheduler, and loss function.
- [Section IV-D, Table IV] Table IV reports inference time in 'T' units without defining what 'T' denotes (presumably throughput or time per case). Please define the unit and report the hardware setting for the timing, since the paper claims that increasing patch quantity increases inference time.
- [References and related work] The related-work section cites KAN, FAN, KAT, MULTKAN, Wav-KAN, and XNET, but does not cite or compare against recent KAN-based medical segmentation methods (e.g., U-KAN, KAN-UNet). Adding such comparisons would strengthen the positioning of FKAC and avoid the impression of incompleteness.
- [General] There are numerous grammatical and stylistic issues throughout (e.g., 'the Hepatic appears as tiny spots' should be 'vessels in the hepatic region appear as tiny spots'). A thorough language edit is recommended.
Circularity Check
No significant circularity; SegKAN's reported Dice improvement is an empirical benchmark result, not a consequence derived from its own equations or self-citations.
full rationale
SegKAN is an empirical architecture paper. Its central claim (a 1.78% average Dice gain over TransUNet on the MSD Hepatic Vessel dataset) is a measured benchmark outcome, not a quantity derived from the model equations. Equations (1)-(8) define the PTSN gated recurrent cell and the FKAC Fourier-basis convolution; none of these definitions contains the target Dice value or is solved for it, so there is no self-definitional circularity. The self-citations in the reference list (e.g., the authors' own SegStitch and MedDet papers) appear only as related-work pointers and are not used to justify the effectiveness of PTSN or FKAC. The selection of 16 patches in Table IV is a hyperparameter choice made on the same evaluation metric, which is a limitation regarding statistical optimism and reproducibility, but it is not a reduction-by-construction: the reported 69.02% Dice is an empirical outcome of a trained model, not an algebraic consequence of the chosen patch count. The comparison is self-contained against external benchmarks such as nnU-Net and TransUNet. The unspecified patch-ordering rule in Section III-A is an under-specification that threatens reproducibility, but it does not make the claim circular. Overall, no load-bearing step reduces to its own inputs.
Assumptions & free parameters
free parameters (2)
- Number of 3D patches (patch quantity) =
16
- Fourier coefficient counts d and g in Eq. 8 =
Not reported
assumptions (3)
- domain assumption The baseline results in Table I are directly comparable to SegKAN.
- domain assumption A fixed sequential ordering of 3D patches preserves spatial position information for a recurrent network.
- domain assumption Dice similarity coefficient on this dataset reflects clinically meaningful segmentation quality.
Cite this review
Pith. "Pith review of SegKAN: High-Resolution Medical Image Segmentation with Long-Distance Dependencies." pith.science (2026). https://pith.science/paper/E5BWRKKR
@misc{pith2026241219990,
author = {Pith},
title = {Pith review of: SegKAN: High-Resolution Medical Image Segmentation with Long-Distance Dependencies},
year = {2026},
howpublished = {\url{https://pith.science/paper/E5BWRKKR}},
note = {Machine review of arXiv:2412.19990}
}
read the original abstract
Hepatic vessels in computed tomography scans often suffer from image fragmentation and noise interference, making it difficult to maintain vessel integrity and posing significant challenges for vessel segmentation. To address this issue, we propose an innovative model: SegKAN. First, we improve the conventional embedding module by adopting a novel convolutional network structure for image embedding, which smooths out image noise and prevents issues such as gradient explosion in subsequent stages. Next, we transform the spatial relationships between Patch blocks into temporal relationships to solve the problem of capturing positional relationships between Patch blocks in traditional Vision Transformer models. We conducted experiments on a Hepatic vessel dataset, and compared to the existing state-of-the-art model, the Dice score improved by 1.78%. These results demonstrate that the proposed new structure effectively enhances the segmentation performance of high-resolution extended objects. Code will be available at https://github.com/goblin327/SegKAN
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Reviewed August 10, 2026 · model on record in the stance chip above.
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