# On Hyperbolic Embeddings in 2D Object Detection

Source: [On Hyperbolic Embeddings in 2D Object Detection](<https://www.sota2.com/research/paper/68fa6c121e209131cea31e63>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-26T00:02:49.336Z

Authors: Christopher Lang, Alexander Braun, Abhinav Valada

Published: 2022-03-15T16:43:40.000Z

## Abstract

Object detection, for the most part, has been formulated in the euclidean space, where euclidean or spherical geodesic distances measure the similarity of an image region to an object class prototype. In this work, we study whether a hyperbolic geometry better matches the underlying structure of the object classification space. We incorporate a hyperbolic classifier in two-stage, keypoint-based, and transformer-based object detection architectures and evaluate them on large-scale, long-tailed, and zero-shot object detection benchmarks. In our extensive experimental evaluations, we observe categorical class hierarchies emerging in the structure of the classification space, resulting in lower classification errors and boosting the overall object detection performance.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2203.08049>)

[PDF](<https://arxiv.org/pdf/2203.08049.pdf>)
