CosMAP通过对比学习提升组学与家谱数据的降维精度。
CosMAP: Contrastive Manifold Approximation and Projection for Dimensionality Reduction of Omics and Genealogical Data

- 用余弦相似度和温度归一化对比亲和性构建图结构
- 在小鼠视网膜/皮层数据中保持细胞群体一致性
- 适合处理稀疏高维数据的探索性分析
组学数据(尤其是单细胞RNA测序)具有高维度、稀疏、噪声大且零值主导的特点,难以获得忠实的低维表示。现有降维方法可能扭曲局部邻域、全局结构或有意义细胞群的凝聚性,家谱数据也面临类似问题。我们提出对比流形近似与投影(CosMAP),一种基于图的无监督降维方法,生成更忠实且可解释的嵌入。CosMAP在UMAP基础上扩展,结合余弦相似度邻域与温度归一化的对比亲和性,并在嵌入空间中通过吸引-排斥目标优化。进一步采用两阶段精炼策略:先学习中间高维表示,再用于重构邻域图并初始化最终低维嵌入。我们在MNIST、USPS手写数字数据集,小鼠视网膜和皮层单细胞RNA测序数据集,以及来自BALSAC-CARTaGENE的大规模家谱亲属关系数据集上评估。相比前沿降维方法,CosMAP生成更连贯的可视化结果,改善邻域保持性,提供更清晰的数字类别、生物细胞群体和区域家谱模式的全局组织。结果表明,CosMAP为复杂稀疏高维数据的探索性分析提供了稳健框架。代码已公开于https://github.com/FenosoaRandrianjatovo/CosMAP-dr。
原文摘要 · Abstract (English)
Omics datasets, particularly single-cell RNA sequencing data, are high-dimensional, sparse, noisy, and dominated by zero values, making faithful low-dimensional representation challenging. Existing dimensionality-reduction methods may distort local neighbourhoods, global organization, or the cohesion of meaningful populations, with similar limitations arising in genealogical data. We introduce Contrastive Manifold Approximation and Projection (CosMAP), a graph-based unsupervised dimensionality-reduction method for producing faithful and interpretable embeddings. CosMAP extends the graph-based framework of UMAP by combining cosine-similarity neighbourhoods with temperature-normalized contrastive affinities, which are optimized in the embedding space using an attractive--repulsive objective. It further employs a two-phase refinement strategy: an intermediate higher-dimensional representation is first learned and then used to reconstruct the neighbourhood graph and initialize the final low-dimensional embedding. We evaluate CosMAP on MNIST and USPS handwritten-digit datasets, mouse retina and cortex single-cell RNA-sequencing datasets, and a large genealogical kinship dataset derived from BALSAC-CARTaGENE. Compared with state-of-the-art dimensionality-reduction methods, CosMAP produces more coherent visual representations, improves neighbourhood preservation, and provides clearer global organization of digit classes, biological cell populations, and regional genealogical patterns. These results indicate that CosMAP offers a robust framework for exploratory analysis of complex, sparse, high-dimensional data. The implementation is publicly available at https://github.com/FenosoaRandrianjatovo/CosMAP-dr.
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