Data-Driven Trends and Subpopulations in the Gravitational Wave Binary Black Hole Merger Population with UMAP

TL;DR

This paper introduces UMAP, a novel dimensionality reduction technique, to analyze gravitational-wave binary black hole data, revealing distinct subpopulations and their potential formation pathways in a model-independent manner.

Contribution

The study applies UMAP to GWTC-3 data, demonstrating its effectiveness in identifying and interpreting subpopulations within the BBH merger population.

Findings

UMAP effectively partitions BBH populations into four subgroups.

Distinct mass and spin characteristics are associated with different subpopulations.

UMAP reveals correlations and potential formation pathways in the BBH data.

Abstract

The rapidly expanding Gravitational-Wave Transient Catalog (GWTC) necessitates the development of model-independent techniques to uncover trends and subpopulations within the binary black hole (BBH) population. We present the first usage of the Uniform Manifold Approximation and Projection (UMAP) algorithm, a novel dimensionality-reduction technique, for the purpose of analyzing BBH mergers in GWTC-3. We show that UMAP, paired with a clustering algorithm, effectively partitions the population into four well-segregated subgroups principally via their primary and secondary mass components along with an outlier event, GW$190521\_030229$. UMAP clearly identifies objects in the ${\sim}10~M_\odot$ buildup in the BBH mass spectrum as their own group with aligned spins and mass ratios of ${\sim}0.2{-}0.7$ while objects in or above the ${\sim}35~M_\odot$ overdensity are all in the same, largest group and display typically lower effective spins as well as larger mass ratios (${\sim}0.5{-}0.9$) on average. With the aid of hierarchical population inference, we interpret these as subpopulations from different formation pathways, consistent with previous findings. We also find a transitional group of a handful of objects with masses in between the aforementioned buildups and broad support for anti-aligned spins. We examine the low-mass UMAP subgroup, which exhibits anti-correlation between the mass ratio and effective spin, and show that it drives such anti-correlation for the entire GWTC-3 sample. Overall, we demonstrate that UMAP is an interpretable, non-parametric framework that can not only be used for visualization but also for probing the astrophysics of the BBH population.