arXiv:2510.07182cs.LG2025-10被引 1

用少量标注数据连接无配对输入输出的聚类,实现高效低样本预测。

Bridged Clustering: Semi-Supervised Sparse Bridging

  • 独立聚类输入输出数据,再用少量配对样本构建稀疏桥接
  • 在低监督下性能接近顶尖方法,且仅需极少标注样本
  • 适合缺乏成对数据但有大量单模态数据的场景

我们提出Bridged Clustering,一种半监督框架,可从任意无配对的输入X和输出Y数据集学习预测器。方法先独立对X和Y进行聚类,再仅用少量配对样本学习一个稀疏且可解释的簇间桥接关系。推理时,新输入x被分配到最近的输入簇,对应输出簇的质心即为预测结果ŷ。与传统半监督学习不同,该方法显式利用仅含输出的数据;与密集传输类方法相比,保持了稀疏可解释的对齐。理论分析表明,在聚类错误率和桥接错误率有界条件下,算法能成为高效有效的预测器。实验显示,本方法在低监督设置下性能媲美最先进方法,同时保持简单、模型无关和高度标签效率。

原文摘要 · Abstract (English)

We introduce Bridged Clustering, a semi-supervised framework to learn predictors from any unpaired input $X$ and output $Y$ dataset. Our method first clusters $X$ and $Y$ independently, then learns a sparse, interpretable bridge between clusters using only a few paired examples. At inference, a new input $x$ is assigned to its nearest input cluster, and the centroid of the linked output cluster is returned as the prediction $\hat{y}$. Unlike traditional SSL, Bridged Clustering explicitly leverages output-only data, and unlike dense transport-based methods, it maintains a sparse and interpretable alignment. Through theoretical analysis, we show that with bounded mis-clustering and mis-bridging rates, our algorithm becomes an effective and efficient predictor. Empirically, our method is competitive with SOTA methods while remaining simple, model-agnostic, and highly label-efficient in low-supervision settings.

半监督聚类少样本预测

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