arXiv:2505.23637cs.CVcs.AI2025-05被引 1

对比两种拓扑特征处理方式,发现拼接优于聚合。

Comparing the Effects of Persistence Barcodes Aggregation and Feature Concatenation on Medical Imaging

  • 用拓扑特征拼接代替条形码聚合,保留更多细节
  • 在多个医学影像数据集上分类性能更优
  • 适合关注拓扑细节的医疗图像研究者

在医学图像分析中,特征工程对机器学习模型的设计与性能至关重要。从拓扑数据分析(TDA)中提出的持久同调(PH)具有对数据扰动的鲁棒性和稳定性,克服了传统特征提取方法中输入微小变化导致特征表示大幅波动的缺陷。通过PH,可将持久的拓扑与几何特征以持久条形码形式存储:长条代表全局拓扑结构,短条包含数据的几何信息。当从2D或3D医学图像计算出多个条形码时,有两种构建最终拓扑特征向量的方法:先聚合条形码再进行特征化,或对每个条形码生成的拓扑特征向量进行拼接。本研究在多种医学影像数据集上全面比较了这两种方法对分类模型性能的影响。结果表明,特征拼接能更好地保留单个条形码的详细拓扑信息,带来更优的分类表现,因此在类似实验中应优先采用该方法。

原文摘要 · Abstract (English)

In medical image analysis, feature engineering plays an important role in the design and performance of machine learning models. Persistent homology (PH), from the field of topological data analysis (TDA), demonstrates robustness and stability to data perturbations and addresses the limitation from traditional feature extraction approaches where a small change in input results in a large change in feature representation. Using PH, we store persistent topological and geometrical features in the form of the persistence barcode whereby large bars represent global topological features and small bars encapsulate geometrical information of the data. When multiple barcodes are computed from 2D or 3D medical images, two approaches can be used to construct the final topological feature vector in each dimension: aggregating persistence barcodes followed by featurization or concatenating topological feature vectors derived from each barcode. In this study, we conduct a comprehensive analysis across diverse medical imaging datasets to compare the effects of the two aforementioned approaches on the performance of classification models. The results of this analysis indicate that feature concatenation preserves detailed topological information from individual barcodes, yields better classification performance and is therefore a preferred approach when conducting similar experiments.

拓扑分析医学影像特征拼接

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