Supplementary Materials for Study on Hyperbolic Visual Hierarchy Mapping

This document provides supplementary materials on Hyperbolic Visual Hierarchy Mapping, covering implementation details, theory, experiments, and visualizations.


This content originally appeared on HackerNoon and was authored by Hyperbole

:::info Authors:

(1) Hyeongjun Kwon, Yonsei University;

(2) Jinhyun Jang, Yonsei University;

(3) Jin Kim, Yonsei University;

(4) Kwonyoung Kim, Yonsei University;

(5) Kwanghoon Sohn, Yonsei University and Korea Institute of Science and Technology (KIST).

:::

Abstract and 1 Introduction

2. Related Work

3. Hyperbolic Geometry

4. Method

4.1. Overview

4.2. Probabilistic hierarchy tree

4.3. Visual hierarchy decomposition

4.4. Learning hierarchy in hyperbolic space

4.5. Visual hierarchy encoding

5. Experiments and 5.1. Image classification

5.2. Object detection and Instance segmentation

5.3. Semantic segmentation

5.4. Visualization

6. Ablation studies and discussion

7. Conclusion and References

A. Network Architecture

B. Theoretical Baseline

C. Additional Results

D. Additional visualization

\ In this document, we include supplementary materials for “Improving Visual Recognition with Hyperbolical Visual Hierarchy Mapping”. We first provide more concrete implementation details (Sec. A), a theoretical baseline (Sec. B), and additional experimental results (Sec. C). Finally, we visualize more visual hierarchy trees from the selected images to provide solid evidence of the proposed method (Sec. D).

A. Network Architecture

A.1. Classification

A.2. Dense prediction.

B. Theoretical Baseline

B.1. Mixture of Gaussians

\

\ \ \ Table 6. Performance comparisons between full-training and fine-tuning across various DNNs on the ImageNet-1K dataset [36].

\

:::info This paper is available on arxiv under CC BY 4.0 DEED license.

:::

\


This content originally appeared on HackerNoon and was authored by Hyperbole


Print Share Comment Cite Upload Translate Updates
APA

Hyperbole | Sciencx (2025-03-01T08:00:06+00:00) Supplementary Materials for Study on Hyperbolic Visual Hierarchy Mapping. Retrieved from https://www.scien.cx/2025/03/01/supplementary-materials-for-study-on-hyperbolic-visual-hierarchy-mapping/

MLA
" » Supplementary Materials for Study on Hyperbolic Visual Hierarchy Mapping." Hyperbole | Sciencx - Saturday March 1, 2025, https://www.scien.cx/2025/03/01/supplementary-materials-for-study-on-hyperbolic-visual-hierarchy-mapping/
HARVARD
Hyperbole | Sciencx Saturday March 1, 2025 » Supplementary Materials for Study on Hyperbolic Visual Hierarchy Mapping., viewed ,<https://www.scien.cx/2025/03/01/supplementary-materials-for-study-on-hyperbolic-visual-hierarchy-mapping/>
VANCOUVER
Hyperbole | Sciencx - » Supplementary Materials for Study on Hyperbolic Visual Hierarchy Mapping. [Internet]. [Accessed ]. Available from: https://www.scien.cx/2025/03/01/supplementary-materials-for-study-on-hyperbolic-visual-hierarchy-mapping/
CHICAGO
" » Supplementary Materials for Study on Hyperbolic Visual Hierarchy Mapping." Hyperbole | Sciencx - Accessed . https://www.scien.cx/2025/03/01/supplementary-materials-for-study-on-hyperbolic-visual-hierarchy-mapping/
IEEE
" » Supplementary Materials for Study on Hyperbolic Visual Hierarchy Mapping." Hyperbole | Sciencx [Online]. Available: https://www.scien.cx/2025/03/01/supplementary-materials-for-study-on-hyperbolic-visual-hierarchy-mapping/. [Accessed: ]
rf:citation
» Supplementary Materials for Study on Hyperbolic Visual Hierarchy Mapping | Hyperbole | Sciencx | https://www.scien.cx/2025/03/01/supplementary-materials-for-study-on-hyperbolic-visual-hierarchy-mapping/ |

Please log in to upload a file.




There are no updates yet.
Click the Upload button above to add an update.

You must be logged in to translate posts. Please log in or register.