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arxiv: 2605.16768 · v1 · pith:MDHM4CNNnew · submitted 2026-05-16 · 💻 cs.CV · eess.IV

Axial-Relation Guided Fusion State Space Model for Optical-Elevation Sensing Image Segmentation

Pith reviewed 2026-05-19 21:11 UTC · model grok-4.3

classification 💻 cs.CV eess.IV
keywords semantic segmentationremote sensingstate space modelmulti-modal fusionoptical-elevation imagescross-modal correlationMambaimage segmentation
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The pith

ARG-Mamba fuses optical and elevation features along axial relations within a state space model to improve remote sensing segmentation accuracy.

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

The paper introduces ARG-Mamba to handle semantic segmentation of multi-source remote sensing images by addressing weak multi-scale context and cross-modal fusion. It adds a Multi-Scale State Space Module that captures local details and global dependencies at linear cost, plus an Axial-Relation Guided Fusion Module that links optical and elevation data along horizontal and vertical directions. The design targets complex high-resolution scenes where existing approaches fall short. If the modules work as intended, the result is higher accuracy on standard benchmarks while keeping computation manageable, which matters for practical Earth observation tasks such as land-use mapping.

Core claim

The authors claim that the ARG-Mamba framework, built around a Multi-Scale State Space Module and an Axial-Relation Guided Fusion Module, achieves better semantic segmentation of optical-elevation remote sensing images than prior methods. The fusion module explicitly models global cross-modal correlations along the two axes to combine the modalities more effectively. Experiments on the ISPRS Vaihingen and Potsdam datasets show consistent gains in performance together with favorable computational efficiency.

What carries the argument

The Axial-Relation Guided Fusion Module, which models global cross-modal correlations along horizontal and vertical axes to enable efficient fusion of optical and elevation features.

If this is right

  • The framework delivers higher segmentation accuracy on high-resolution scenes containing complex urban and landscape features.
  • Linear computational complexity is preserved through the state space design, supporting larger image processing.
  • Cross-modal fusion along axial directions improves the joint use of optical and elevation information.
  • The approach extends state space models to multi-modal remote sensing segmentation tasks.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The axial relation idea could transfer to other modality pairs such as optical and radar data.
  • Replacing heavier attention mechanisms with this guided fusion might reduce memory demands in large-scale vision pipelines.
  • Further tests on datasets with varying resolutions or additional sensors would clarify how widely the gains hold.
  • Combining the modules with other state space variants could strengthen multi-scale context capture in related tasks.

Load-bearing premise

That explicitly modeling global cross-modal correlations along horizontal and vertical axes produces better feature fusion than existing cross-modal approaches.

What would settle it

A head-to-head test on the ISPRS Vaihingen and Potsdam datasets in which ARG-Mamba fails to exceed the accuracy or efficiency of current state-of-the-art segmentation methods.

Figures

Figures reproduced from arXiv: 2605.16768 by Feng Gao, Junyu Dong, Qian Du, Yanhai Gan, Zhilin Jin.

Figure 1
Figure 1. Figure 1: The overall architecture of ARG-Mamba. It is a dual-stream encoder–decoder framework for optical-elevation semantic segmentation. It processes optical and DSM inputs in parallel using hierarchical Visual State Space Blocks (VSSBs) and Multi-Scale State Space Modules (MS-SSMs) to efficiently capture long-range dependencies with linear complexity. At each encoder stage, an Axial-Relation Guided Fusion Module… view at source ↗
Figure 2
Figure 2. Figure 2: Illustration of the Multi-Scale State Space Module (MS-SSM). [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Illustration of the Axial-Relation Guided Fusion Module (ARGFM). [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Classification results of different methods on the ISPRS Vaihingen dataset. [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Classification results of different methods on the ISPRS Potsdam [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗
read the original abstract

Semantic segmentation of multi-source remote sensing images is a fundamental task for Earth observation applications. Existing methods often struggle with insufficient multi-scale context modeling and suboptimal cross-modal feature fusion, limiting their performance in complex high-resolution scenes. To this end, we propose Axial-Relation Guided Fusion Mamba (ARG-Mamba), a state space model-based framework for optical-elevation remote sensing image segmentation. Specifically, we introduce a Multi-Scale State Space Module to capture both fine-grained local details and global contextual dependencies with linear computational complexity. Moreover, an Axial-Relation Guided Fusion Module is designed to explicitly model global cross-modal correlations along horizontal and vertical axes, enabling efficient feature fusion between optical and elevation modalities. Extensive experiments conducted on the ISPRS Vaihingen and Potsdam datasets demonstrate that our ARG-Mamba consistently outperforms state-of-the-art methods while maintaining favorable computational efficiency. The code will be made publicly available at \url{https://github.com/oucailab/ARG-Mamba}.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper proposes ARG-Mamba, a state space model framework for semantic segmentation of optical-elevation remote sensing images. It introduces a Multi-Scale State Space Module to capture fine-grained local details and global context with linear complexity, and an Axial-Relation Guided Fusion Module to explicitly model global cross-modal correlations along horizontal and vertical axes for efficient optical-elevation feature fusion. Experiments on the ISPRS Vaihingen and Potsdam datasets claim consistent outperformance over state-of-the-art methods while maintaining favorable computational efficiency.

Significance. If the empirical results hold, the work advances efficient multi-modal fusion in remote sensing segmentation by leveraging state space models for linear-complexity global context and axial cross-modal modeling. This addresses key limitations in existing methods for high-resolution Earth observation scenes and could offer a scalable alternative to transformer-based approaches, with potential impact on applications requiring accurate optical-elevation integration.

major comments (2)
  1. [§3.2] §3.2 (Axial-Relation Guided Fusion Module): the description of how axial relations explicitly model global cross-modal correlations lacks the precise equations or algorithmic steps needed to verify superiority over standard concatenation or attention-based fusion; this is load-bearing for the central claim of improved feature fusion.
  2. [Tables 1-2] Tables 1-2 (quantitative results on Vaihingen/Potsdam): reported mIoU and F1 gains are presented without standard deviations across multiple runs or statistical significance tests, weakening the claim of consistent outperformance.
minor comments (2)
  1. [Abstract] The abstract states that code will be released but provides no GitHub link or availability note in the manuscript body or supplementary material.
  2. [§3.1] Notation for the state space parameters (e.g., discretization steps in the Multi-Scale State Space Module) could be more explicitly defined to aid reproducibility.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive feedback on our manuscript. We have carefully reviewed the major comments and provide point-by-point responses below. These clarifications will help strengthen the presentation of our work on ARG-Mamba for optical-elevation semantic segmentation.

read point-by-point responses
  1. Referee: [§3.2] §3.2 (Axial-Relation Guided Fusion Module): the description of how axial relations explicitly model global cross-modal correlations lacks the precise equations or algorithmic steps needed to verify superiority over standard concatenation or attention-based fusion; this is load-bearing for the central claim of improved feature fusion.

    Authors: We appreciate this observation and agree that greater mathematical precision would aid verification. The original Section 3.2 describes the module's high-level design and motivation for axial processing to capture global cross-modal correlations efficiently. In the revision, we will incorporate the explicit equations for the horizontal and vertical axial relation computations, including the formulation of relation matrices between optical and elevation features, the aggregation steps, and a brief complexity analysis contrasting it with concatenation and standard attention. This addition will directly support the central claim without altering the method itself. revision: yes

  2. Referee: [Tables 1-2] Tables 1-2 (quantitative results on Vaihingen/Potsdam): reported mIoU and F1 gains are presented without standard deviations across multiple runs or statistical significance tests, weakening the claim of consistent outperformance.

    Authors: We acknowledge that reporting standard deviations and significance tests would provide additional rigor. Our experiments followed the standard single-run protocol common in remote sensing segmentation literature due to the high computational cost of training on large high-resolution datasets. The reported gains are consistent across two distinct datasets, multiple evaluation metrics, and comparisons with diverse baselines. In the revised manuscript, we will add a paragraph in the experimental section noting this limitation, emphasizing reproducibility via the released code, and discussing the magnitude of improvements as evidence of robustness. We do not plan new multi-run experiments at this stage. revision: partial

Circularity Check

0 steps flagged

No significant circularity in derivation chain

full rationale

The paper proposes ARG-Mamba as an architectural framework consisting of a Multi-Scale State Space Module for linear-complexity multi-scale context and an Axial-Relation Guided Fusion Module for axial cross-modal correlation modeling. These are presented as design choices motivated by stated limitations of prior methods rather than any first-principles derivation. The central claim of consistent outperformance is supported solely by empirical results on the external ISPRS Vaihingen and Potsdam benchmarks. No equation, prediction, or uniqueness theorem is shown to reduce by construction to a fitted parameter, self-citation, or input data; the argument remains self-contained against external validation.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 2 invented entities

The framework rests on the established efficiency properties of Mamba state space models and on the empirical claim that the two new modules improve fusion and multi-scale modeling; no free parameters are named in the abstract, and no new physical entities are postulated.

axioms (1)
  • domain assumption State space models such as Mamba can capture long-range dependencies in image data with linear complexity.
    Invoked to justify the Multi-Scale State Space Module.
invented entities (2)
  • Multi-Scale State Space Module no independent evidence
    purpose: Capture fine-grained local details and global contextual dependencies
    New architectural component introduced to address insufficient multi-scale context modeling.
  • Axial-Relation Guided Fusion Module no independent evidence
    purpose: Model global cross-modal correlations along horizontal and vertical axes
    New component introduced to address suboptimal cross-modal feature fusion.

pith-pipeline@v0.9.0 · 5709 in / 1256 out tokens · 47628 ms · 2026-05-19T21:11:11.145762+00:00 · methodology

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Reference graph

Works this paper leans on

16 extracted references · 16 canonical work pages · 1 internal anchor

  1. [1]

    Deep learning in remote sensing applications: A meta-analysis and review,

    L. Ma, Y . Liu, X. Zhang, Y . Ye, G. Yin, and B. A. Johnson, “Deep learning in remote sensing applications: A meta-analysis and review,” ISPRS Journal of Photogrammetry and Remote Sensing, vol. 152, pp. 166–177, 2019

  2. [2]

    Adaptive frequency enhancement network for remote sensing image semantic segmentation,

    F. Gao, M. Fu, J. Cao, J. Dong, and Q. Du, “Adaptive frequency enhancement network for remote sensing image semantic segmentation,” IEEE Transactions on Geoscience and Remote Sensing, vol. 63, pp. 1– 15, 2025

  3. [3]

    Elevation information- guided multimodal fusion robust framework for remote sensing image segmentation,

    J. Fan, J. Li, Z. Hua, F. Zhang, and C. Zhang, “Elevation information- guided multimodal fusion robust framework for remote sensing image segmentation,”IEEE Geoscience and Remote Sensing Letters, vol. 21, pp. 1–5, 2024

  4. [4]

    A multilevel multimodal fusion Transformer for remote sensing semantic segmentation,

    X. Ma, X. Zhang, M.-O. Pun, and M. Liu, “A multilevel multimodal fusion Transformer for remote sensing semantic segmentation,”IEEE Transactions on Geoscience and Remote Sensing, vol. 62, pp. 1–15, 2024

  5. [5]

    A multisensor data fusion model for semantic segmentation in aerial images,

    Q. Weng, H. Chen, H. Chen, W. Guo, and Z. Mao, “A multisensor data fusion model for semantic segmentation in aerial images,”IEEE Geoscience and Remote Sensing Letters, vol. 19, pp. 1–5, 2022

  6. [6]

    Edge detection guide network for semantic segmentation of remote sensing images,

    J. Jin, W. Zhou, R. Yang, L. Ye, and L. Yu, “Edge detection guide network for semantic segmentation of remote sensing images,”IEEE Geoscience and Remote Sensing Letters, vol. 20, pp. 1–5, 2023

  7. [7]

    Enhancing multiscale representations with transformer for remote sensing image semantic segmentation,

    T. Xiao, Y . Liu, Y . Huang, M. Li, and G. Yang, “Enhancing multiscale representations with transformer for remote sensing image semantic segmentation,”IEEE Transactions on Geoscience and Remote Sensing, vol. 61, pp. 1–16, 2023

  8. [8]

    A frequency de- coupling network for semantic segmentation of remote sensing images,

    X. Li, F. Xu, A. Yu, X. Lyu, H. Gao, and J. Zhou, “A frequency de- coupling network for semantic segmentation of remote sensing images,” IEEE Transactions on Geoscience and Remote Sensing, vol. 63, pp. 1– 21, 2025

  9. [9]

    Mamba: Linear-Time Sequence Modeling with Selective State Spaces

    A. Gu and T. Dao, “Mamba: Linear-time sequence modeling with selective state spaces,”arXiv preprint arXiv:2312.00752, 2024

  10. [10]

    MSFMamba: Multiscale feature fusion state space model for multisource remote sensing image classification,

    F. Gao, X. Jin, X. Zhou, J. Dong, and Q. Du, “MSFMamba: Multiscale feature fusion state space model for multisource remote sensing image classification,”IEEE Transactions on Geoscience and Remote Sensing, vol. 63, pp. 1–16, 2025

  11. [11]

    VMamba: Visual state space model,

    Y . Liu, Y . Tian, Y . Zhao, H. Yu, L. Xie, Y . Wang, Q. Ye, J. Jiao, and Y . Liu, “VMamba: Visual state space model,” inProceedings of Advances in Neural Information Processing Systems (NeurIPS), vol. 37, 2024, pp. 103 031–103 063

  12. [12]

    PST900: RGB-Thermal calibration, dataset and segmen- tation network,

    S. S. Shivakumar, N. Rodrigues, A. Zhou, I. D. Miller, V . Kumar, and C. J. Taylor, “PST900: RGB-Thermal calibration, dataset and segmen- tation network,” inProceedings of IEEE International Conference on Robotics and Automation (ICRA), 2020, pp. 9441–9447

  13. [13]

    FEANet: Feature-enhanced attention network for RGB-thermal real-time semantic segmentation,

    F. Deng, H. Feng, M. Liang, H. Wang, Y . Yang, Y . Gao, J. Chen, J. Hu, X. Guo, and T. L. Lam, “FEANet: Feature-enhanced attention network for RGB-thermal real-time semantic segmentation,” inProceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), 2021, pp. 4467–4473

  14. [14]

    GMNet: Graded- feature multilabel-learning network for RGB-thermal urban scene se- mantic segmentation,

    W. Zhou, J. Liu, J. Lei, L. Yu, and J.-N. Hwang, “GMNet: Graded- feature multilabel-learning network for RGB-thermal urban scene se- mantic segmentation,”IEEE Transactions on Image Processing, vol. 30, pp. 7790–7802, 2021

  15. [15]

    Delivering arbitrary-modal semantic segmentation,

    J. Zhang, R. Liu, H. Shi, K. Yang, S. Reiß, K. Peng, H. Fu, K. Wang, and R. Stiefelhagen, “Delivering arbitrary-modal semantic segmentation,” inProceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2023, pp. 1136–1147

  16. [16]

    A unified framework with multimodal fine-tuning for remote sensing semantic segmentation,

    X. Ma, X. Zhang, M.-O. Pun, and B. Huang, “A unified framework with multimodal fine-tuning for remote sensing semantic segmentation,” IEEE Transactions on Geoscience and Remote Sensing, vol. 63, pp. 1– 15, 2025