arXiv:2605.16383cs.CVcs.AI2026-05被引 1

让图像分类模型学会表达不确定性和逻辑一致性。

A neurosymbolic Approach with Epistemic Deep Learning for Hierarchical Image Classification

论文配图:A neurosymbolic Approach with Epistemic Deep Learning for Hierarchical Image Classification
图 1 · 摘自论文原文
  • 用模糊逻辑和焦点集建模不确定性,统一符号与深度学习。
  • 在多个数据集上保持准确率,同时降低过自信并提升层级一致性。
  • 适合需要可解释、可靠预测的场景,如医疗影像分析。

深度神经网络在图像分类中表现优异,但常产生过度自信的预测,无法表达认知不确定性,并违反数据中的逻辑或结构约束。这一问题在层级分类中尤为突出,因为细粒度与粗粒度预测需保持一致。本文首次提出一种统一的神经符号与认知不确定性建模框架,将Swin Transformer与焦点集推理及可微分模糊逻辑结合。该方法不把标签视为孤立类别,而是在学习嵌入空间中构建数据驱动的焦点集,以捕捉对多个可能细粒度类别的认知不确定性。这些焦点集构成基于信念理论的层,利用模糊隶属函数与t-范数合取,促进细粒度与粗粒度预测间的一致性。可学习损失进一步平衡校准性、质量正则化与逻辑一致性,使模型能自适应权衡符号结构与数据证据。在层级图像分类实验中,本框架在保持与Transformer基线相当准确率的同时,显著降低过自信,提升预测校准性与可解释性,并实现高逻辑一致性。结果表明,将焦点集推理与模糊逻辑结合,是迈向既精准又具认知意识的深度学习模型的重要一步。

原文摘要 · Abstract (English)

Deep neural networks achieve high accuracy on image classification tasks. Yet, they often produce overconfident predictions as which fail to express epistemic uncertainty, and frequently violate logical or structural constraints present in the data. These limitations are particularly pronounced in hierarchical classification, where predictions across fine and coarse levels must remain coherent. We propose, for the first time, a unified neurosymbolic and epistemic modelling framework that augments Swin Transformers with focal set reasoning and differentiable fuzzy logic. Rather than treating labels as isolated categories, our method induces data-driven focal sets within the learnt embedding space, which helps capture epistemic uncertainty over multiple plausible fine-grained classes. These focal sets form the basis of a belief-theoretic layer that uses fuzzy membership functions and t-norm conjunctions to encourage consistency between fine- and coarse-grained predictions. A learnable loss further balances calibration, mass regularisation, and logical consistency, allowing the model to adaptively trade off symbolic structure with data-driven evidence. In experiments on hierarchical image classification, our framework maintains accuracy on par with transformer baselines while providing more calibrated and interpretable predictions, reducing overconfidence and enforcing high logical consistency across hierarchical outputs. Our experimental results show that combining focal set reasoning with fuzzy logic provides a practical step toward deep learning models that are both accurate and epistemically aware.

神经符号不确定性层级分类模糊逻辑

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