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English(EN) Tree-Structured Orthonormal Decomposition of the Aitchison Simplex

新的 PolyILR 方法分解具有分层结构的成分数据

研究人员推出了一种新颖的成分数据分解方法 PolyILR,该方法考虑了分层结构。该技术创建了 Aitchison 切线空间的规范正交分解,与任何树形拓扑对齐。PolyILR 可产生稳定且可解释的特征,能够在各种树形分辨率下进行推理,并显示出在概率建模中的潜在应用。 AI

影响 引入了一种分析复杂数据集的新方法,有可能提高机器学习模型在分层数据上的性能。

排序理由 该集群包含一篇详细介绍新数据分解方法的学术论文。

在 Hugging Face Daily Papers 阅读 →

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新的 PolyILR 方法分解具有分层结构的成分数据

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报道来源 [3]

  1. Hugging Face Daily Papers TIER_1 English(EN) ·

    Aitchison 上的树状正交分解

    Compositional data -- vectors encoding relative proportions -- arise across scientific domains, including ecology, geochemistry, and genomics. The features in these data often come with known hierarchical structure (e.g., taxonomies, phylogenies, ontologies), yet existing methods…

  2. arXiv stat.ML TIER_1 English(EN) · Daisuke Yamada, Qijun Zhang, Travis Pence, Barbara B. Bendlin, Federico Rey, Vikas Singh ·

    Aitchison 上的树状正交分解

    arXiv:2606.11646v1 Announce Type: cross Abstract: Compositional data -- vectors encoding relative proportions -- arise across scientific domains, including ecology, geochemistry, and genomics. The features in these data often come with known hierarchical structure (e.g., taxonomi…

  3. arXiv stat.ML TIER_1 English(EN) · Vikas Singh ·

    Aitchison 上的树状正交分解

    Compositional data -- vectors encoding relative proportions -- arise across scientific domains, including ecology, geochemistry, and genomics. The features in these data often come with known hierarchical structure (e.g., taxonomies, phylogenies, ontologies), yet existing methods…