We propose SoftASM-Top, a novel framework that replaces SoftASM-style soft attention mechanisms with a topology-aware, self-supervised module that improves boundary fidelity, robustness to domain shift, and computational efficiency. SoftASM-Top combines (1) a differentiable discrete topology prior built from persistent homology summaries, (2) a contrastive patch-wise self-supervision loss to strengthen local feature consistency, and (3) a lightweight hybrid attention that uses topological cues to sparsify global interactions. Experiments on medical and street-scene segmentation benchmarks show improved mean IoU, sharper boundaries, and 20–40% fewer attention FLOPs versus SoftASM baselines, while requiring no extra labeled data.
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