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cs.CG2023★ 1 cited
The Information Geometry of UMAP
Alexander Kolpakov, Aidan Rocke
In this note we highlight some connections of UMAP to the basic principles of Information Geometry. Originally, UMAP was derived from Category Theory observations. However, we posi…
cs.CC2023★ 1 cited
On the impossibility of discovering a formula for primes using AI
Alexander Kolpakov, Aidan Rocke
The present work explores the theoretical limits of Machine Learning (ML) within the framework of Kolmogorov's theory of Algorithmic Probability, which clarifies the notion of entr…