This is an implementation of the LOCI (local correlation integral) fast outlier detection algorithm in Python, based on the paper:
Papadimitriou, S., Kitagawa, H., Gibbons, P.B. and Faloutsos, C., 2003, March. Loci: Fast outlier detection using the local correlation integral. In Data Engineering, 2003. Proceedings. 19th International Conference on (pp. 315-326). IEEE.
This is an initial first attempt implementation, it is functional (I think) however performance is very limited.
pip install loci
import numpy as np
import matplotlib.pyplot as plt
from loci.loci import run_loci
data = np.concatenate((np.array([(10, 10), ]), np.random.normal(50, 10, (200, 2))))
loci_res = run_loci(data)
outlier_indices = loci_res.outlier_indices
plt.scatter(data[:, 0], data[:, 1])
plt.scatter(data[outlier_indices, 0], data[outlier_indices, 1], c='r')
plt.show()