k-nerve

Input: n-dimensional dataset (ex: numpy array of floats) + covering dimension = k ( any integer between 1 and n)

Output: k-dimensional simplicial complex (k <= n )

Visualization: 2-skeleton of k-dimensional simplicial complex

Dependencies

• numpy
• pandas
• sklearn.decomposition.PCA
• sklearn.cluster.DBSCAN
• json
• d3.js

Examples

Iris Dataset

Data: http://scikit-learn.org/stable/modules/generated/sklearn.datasets.load_iris.html

2-nerve of Iris Dataset

Click here for interactive version.

Breast Cancer Dataset

Data: http://scikit-learn.org/stable/modules/generated/sklearn.datasets.load_breast_cancer.html

2-nerve of Breast Cancer Dataset

Click here for interactive version

Diabetes Dataset

Data: http://scikit-learn.org/stable/modules/generated/sklearn.datasets.load_diabetes.html

2-nerve of Diabetes data

Click here for interactive version.

3-nerve of Diabetes data

Click here for interactive version.

Wine Quality Dataset

Data: https://archive.ics.uci.edu/ml/datasets/Wine+Quality

2-nerve of redwine data

Click here for interactive version.