Uniform Manifold Approximation and Projection (UMAP)

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Can someone please help to give a detailed but not too complicated in-depth explanation of the steps of UMAP graph formation without losing any important information ? I understand the overall idea of conserving global structure using its parameters, and the idea of graphing using distances, but its extremely hard to find any summarized mathematical information out there, please help, thank you.

import umap
n_n = 2

umap_model_1 = umap.UMAP(n_components=n_n)
umap_result_1 = umap_model_1.fit_transform(test_np)

plt.xlabel('UMAP 1')
plt.ylabel('UMAP 2')
plt.show()

This is the UMAP process in Python I have been introduced too