Integrating Background Knowledge in Medical Semantic Segmentation with Logic Tensor Networks

📅 2025-09-26
📈 Citations: 0
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🤖 AI Summary
Medical image semantic segmentation is critical for clinical decision support, yet existing deep learning models exhibit limited robustness to noise and artifacts and struggle to effectively incorporate domain-specific medical knowledge. To address this, we propose a neuro-symbolic fusion framework that integrates Logic Tensor Networks (LTNs) with SwinUNETR. Specifically, we encode first-order logical constraints—such as hippocampal shape priors and anatomical relationships—into differentiable loss terms, seamlessly embedding symbolic knowledge into an end-to-end segmentation pipeline. The method significantly enhances model robustness and segmentation accuracy under data-scarce conditions. Extensive experiments on brain MRI datasets demonstrate that our approach outperforms state-of-the-art baselines in Dice score and other key metrics, with particularly pronounced gains in low-shot settings. These results validate the effectiveness and generalizability of logic-guided supervision for medical image segmentation.

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📝 Abstract
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.
Problem

Research questions and friction points this paper is trying to address.

Integrating medical background knowledge into segmentation models
Improving segmentation accuracy with logical constraints
Addressing performance issues when training data is scarce
Innovation

Methods, ideas, or system contributions that make the work stand out.

Integrating medical knowledge via Logic Tensor Networks
Encoding first-order logic rules into loss function
Combining LTNs with SwinUNETR for segmentation
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Luca Bergamin
Luca Bergamin
Department of Mathematics, University of Padua
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Giovanna Maria Dimitri
Department of Information Engineering and Mathematics, University of Siena, Siena, Italy
Fabio Aiolli
Fabio Aiolli
Department of Mathematics, University of Padua, Padova, Italy