Hyperbolic Random Forests

L Doorenbos, P Márquez-Neila, R Sznitman… - arXiv preprint arXiv …, 2023 - arxiv.org
Hyperbolic space is becoming a popular choice for representing data due to the hierarchical
structure-whether implicit or explicit-of many real-world datasets. Along with it comes a need …

Hyperbolic Embeddings of Supervised Models

R Nock, E Amid, F Nielsen, A Soen… - The Thirty-eighth …, 2024 - openreview.net
Models of hyperbolic geometry have been successfully used in ML for two main tasks:
embedding* models* in unsupervised learning (* eg* hierarchies) and embedding* data …

Tempered Calculus for ML: Application to Hyperbolic Model Embedding

R Nock, E Amid, F Nielsen, A Soen… - arXiv preprint arXiv …, 2024 - arxiv.org
Most mathematical distortions used in ML are fundamentally integral in nature: $ f $-
divergences, Bregman divergences,(regularized) optimal transport distances, integral …