如何获得`skbio` PCoA（主坐标分析）结果？

Question

我正在查看 attributes of skbio's PCoA 方法（如下所列）。我是这个 API 的新手，我希望能够获得 eigenvectors 和投影到新轴上的原始点，类似于 sklearn.decomposition.PCA 中的 .fit_transform 这样我就可以创建一些 PC_1 vs PC_2 风格的情节。我想出了如何获得 eigvals 和 proportion_explained 但 features 返回为 None。

是因为它处于测试阶段吗？

如果有任何使用它的教程，将不胜感激。我是 scikit-learn 的忠实粉丝，并希望开始使用更多 scikit's 产品。

|  Attributes
 |  ----------
 |  short_method_name : str
 |      Abbreviated ordination method name.
 |  long_method_name : str
 |      Ordination method name.
 |  eigvals : pd.Series
 |      The resulting eigenvalues.  The index corresponds to the ordination
 |      axis labels
 |  samples : pd.DataFrame
 |      The position of the samples in the ordination space, row-indexed by the
 |      sample id.
 |  features : pd.DataFrame
 |      The position of the features in the ordination space, row-indexed by
 |      the feature id.
 |  biplot_scores : pd.DataFrame
 |      Correlation coefficients of the samples with respect to the features.
 |  sample_constraints : pd.DataFrame
 |      Site constraints (linear combinations of constraining variables):
 |      coordinates of the sites in the space of the explanatory variables X.
 |      These are the fitted site scores
 |  proportion_explained : pd.Series
 |      Proportion explained by each of the dimensions in the ordination space.
 |      The index corresponds to the ordination axis labels

这是我生成 principal component analysis 对象的代码。

import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from sklearn.datasets import load_iris
from sklearn.preprocessing import StandardScaler
from sklearn import decomposition
import seaborn as sns; sns.set_style("whitegrid", {'axes.grid' : False})
import skbio
from scipy.spatial import distance

%matplotlib inline
np.random.seed(0)

# Iris dataset
DF_data = pd.DataFrame(load_iris().data, 
                       index = ["iris_%d" % i for i in range(load_iris().data.shape[0])],
                       columns = load_iris().feature_names)
n,m = DF_data.shape
# print(n,m)
# 150 4

Se_targets = pd.Series(load_iris().target, 
                       index = ["iris_%d" % i for i in range(load_iris().data.shape[0])], 
                       name = "Species")

# Scaling mean = 0, var = 1
DF_standard = pd.DataFrame(StandardScaler().fit_transform(DF_data), 
                           index = DF_data.index,
                           columns = DF_data.columns)

# Distance Matrix
Ar_dist = distance.squareform(distance.pdist(DF_standard.T, metric="braycurtis")) # (m x m) distance measure
DM_dist = skbio.stats.distance.DistanceMatrix(Ar_dist, ids=DF_standard.columns)
PCoA = skbio.stats.ordination.pcoa(DM_dist)

Answer 1

您可以使用 OrdinationResults.samples 访问转换后的样本坐标。这将 return 一个 pandas.DataFrame 由样本 ID（即距离矩阵中的 ID）索引的行。由于主坐标分析对样本的距离矩阵进行操作，因此转换后的特征坐标 (OrdinationResults.features) 不可用。 scikit-bio 中接受样本 x 特征 table 作为输入的其他排序方法将具有可用的转换特征坐标（例如 CA、CCA、RDA）。

旁注：distance.squareform 调用是不必要的，因为 skbio.DistanceMatrix 支持方形或向量形式的数组。

如何获得`skbio` PCoA（主坐标分析）结果？

How to get `skbio` PCoA (Principal Coordinate Analysis) results?

machine-learning

linear-algebra

scikits

dimensionality-reduction

skbio