根子层次主要组件分析用于揭示层次数据中嵌套的依赖关系
Korey P Wylie1, Jason R Tregellas1,2
1Department of Psychiatry, University of Colorado School of Medicine, Anschutz Medical Campus, Anschutz Health Sciences Building, 1890 N Revere Ct, Aurora, CO 80045, USA.
概括
一种新的rootlet等级主要组件分析 (hPCA) 方法克服了传统等级集群分析 (HCA) 的局限性. 这种先进的技术可以准确地重建数据层次结构,而不会强加人工结构.
科学领域:
- 机器学习 机器学习
- 数据分析 数据分析
- 多变量统计学 多变量统计学
背景情况:
- 层次集群分析 (HCA) 是一种常见的无监督学习技术.
- 哈萨克斯坦有局限性,包括强加人为的层次结构和使用固定的双向合并.
- 这些局限性可能会误解非层次数据的底层结构.
研究的目的:
- 为了引入一种新的rootlets等级主要组件分析 (hPCA) 方法.
- 通过允许适应性的多路合并来解决传统HCA的局限性.
- 使用里曼几何学和卡雷盘可视化嵌套依赖关系.
主要方法:
- 开发了hPCA根子,将hPCA扩展为适应式多路合并的多变量统计.
- 采用里曼几何学来可视化嵌套的依赖关系,投射到庞卡雷盘上.
- 算法将相似度矩阵分解,使用SO (k) 的旋转,并限制每次合并的自值.
主要成果:
- 根子 hPCA 基于主要主要组件成功构建和合并嵌套集群.
- 该方法限制了任何合并的不同固有价值的数量.
- 在模拟和神经成像数据集上进行验证,准确重建已知的层次结构.
结论:
- 根子hPCA为层次数据分析提供了HCA的先进替代方案.
- 该方法避免了强加人工层次结构,提供了更准确的数据表示.
- 它的可视化技术有效地将复杂的依赖关系映射到一个过度波动的多重体上.
相关概念视频
Survival Tree
388
Survival trees are a non-parametric method used in survival analysis to model the relationship between a set of covariates and the time until an event of interest occurs, often referred to as the "time-to-event" or "survival time." This method is particularly useful when dealing with censored data, where the event has not occurred for some individuals by the end of the study period, or when the exact time of the event is unknown.
Building a Survival Tree
Constructing a...
Building a Survival Tree
Constructing a...
388
Phylogeny
56.8K
Phylogeny is concerned with the evolutionary diversification of organisms or groups of organisms. A group of organisms with a name is called a taxon (singular). Taxa (plural) can span different levels of the evolutionary hierarchy. For instance, the group containing all birds is a taxon (comprising the class Aves), and the group of all species of daisies (the genus Bellis) is a taxon. Phylogenies can likewise include just one genus (i.e., depict species relationships) or span an entire kingdom.
56.8K
Phylogenetic Trees
49.2K
Phylogenetic trees come in many forms. It matters in which sequence the organisms are arranged from the bottom to the top of the tree, but the branches can rotate at their nodes without altering the information. The lines connecting individual nodes can be straight, angled, or even curved.
49.2K
Basic Plant Anatomy: Roots, Stems, and Leaves
63.8K
The primary organs of vascular plants are roots, stems, and leaves, but these structures can be highly variable, adapted for the specific needs and environment of different plant species.
63.8K
Evolutionary Relationships through Genome Comparisons
6.9K
Genome comparison is one of the excellent ways to interpret the evolutionary relationships between organisms. The basic principle of genome comparison is that if two species share a common feature, it is likely encoded by the DNA sequence conserved between both species. The advent of genome sequencing technologies in the late 20th century enabled scientists to understand the concept of conservation of domains between species and helped them to deduce evolutionary relationships across diverse...
6.9K
Hierarchy of Motor Control
5.9K
The hierarchy of motor control refers to the different levels of organization and processing involved in controlling movement in the body. These levels range from higher cortical areas involved in planning and decision-making to lower spinal cord reflexes that respond automatically to external stimuli.
5.9K


