AI Chat AI Image Generator AI Video Text to Speech

The Information Geometry of UMAP

09/03/2023
∙
by   Alexander Kolpakov, et al.
∙
0
∙

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 posit that it also has a natural geometric interpretation.

READ FULL TEXT

Related Research

research
∙ 03/02/2021

Internal Category with Families in Presheaves

In this note, we review a construction of category with families (CwF) i...
0 Jason Z. S. Hu, et al. ∙
research
∙ 03/10/2014

Querying Geometric Figures Using a Controlled Language, Ontological Graphs and Dependency Lattices

Dynamic geometry systems (DGS) have become basic tools in many areas of ...
0 Yannis Haralambous, et al. ∙
research
∙ 04/06/2018

The Category of von Neumann Algebras

In this dissertation we study the category of completely positive normal...
0 Abraham A. Westerbaan, et al. ∙
research
∙ 05/05/2015

In Defense of the Direct Perception of Affordances

The field of functional recognition or affordance estimation from images...
0 David F. Fouhey, et al. ∙
research
∙ 05/31/2023

A short note on the stability of a class of parallel Runge-Kutta methods

With this short note, we close a gap in the linear stability theory of b...
0 Friedemann Kemm, et al. ∙
research
∙ 04/23/2019

A Category Theoretic Interpretation of Gandy's Principles for Mechanisms

Based on Gandy's principles for models of computation we give category-t...
0 Joseph Razavi, et al. ∙
research
∙ 03/20/2022

Geometric Methods for Sampling, Optimisation, Inference and Adaptive Agents

In this chapter, we identify fundamental geometric structures that under...
9 Alessandro Barp, et al. ∙

Please sign up or login with your details

Forgot password? Click here to reset

Out of credits

Refill your membership to continue using DeepAI

Stripe
Paypal