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Integrating Background Knowledge in Medical Semantic Segmentation with Logic Tensor Networks

arXiv 2509.22399 ↗First posted 26 Sep 2025cs.CV cs.LGcited by 2

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Abstract (arXiv)

Semantic segmentation is a fundamental task in medical image analysis, aiding medical decision-making by helping radiologists distinguish objects in an image. Research in this field has been driven by deep learning applications, which have the potential to scale these systems even in the presence of noise and artifacts. However, these systems are not yet perfected. We argue that performance can be improved by incorporating common medical knowledge into the segmentation model's loss function. To this end, we introduce Logic Tensor Networks (LTNs) to encode medical background knowledge using first-order logic (FOL) rules. The encoded rules span from constraints on the shape of the produced segmentation, to relationships between different segmented areas. We apply LTNs in an end-to-end framework with a SwinUNETR for semantic segmentation. We evaluate our method on the task of segmenting the hippocampus in brain MRI scans. Our experiments show that LTNs improve the baseline segmentation performance, especially when training data is scarce. Despite being in its preliminary stages, we argue that neurosymbolic methods are general enough to be adapted and applied to other medical semantic segmentation tasks.

Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Builds on 13 of its 27 references that are in the map. First posted on arXiv 26 Sep 2025.

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13 of 27 references.

References · 13

  1. 2015U-Net: Convolutional Networks for Biomedical Image Segmentationcited by 19,713
  2. 2021Swin Transformer: Hierarchical Vision Transformer using Shifted Windowscited by 12,139
  3. 2014Fully Convolutional Networks for Semantic Segmentationcited by 4,859
  4. 2016DeepLab: Semantic Image Segmentation with Deep Convolutional Nets, Atrous Convolution, and Fully Connected CRFscited by 3,241
  5. 2022Swin UNETR: Swin Transformers for Semantic Segmentation of Brain Tumors in MRI Imagescited by 830
  6. 2021The Medical Segmentation Decathloncited by 628
  7. 2020Neurosymbolic AI: The 3rd Wavecited by 255
  8. 2020Logic Tensor Networkscited by 199
  9. 2019Deep Semantic Segmentation of Natural and Medical Images: A Reviewcited by 125
  10. 2022Deep Learning with Logical Constraintscited by 44
  11. 2022Neuro-Symbolic Learning: Principles and Applications in Ophthalmologycited by 7
  12. 2024LTNtorch: PyTorch Implementation of Logic Tensor Networkscited by 4
1 more
  1. 2023Multimodal and multicontrast image fusion via deep generative modelscited by 3

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