Supplementary Materials for Study on Hyperbolic Visual Hierarchy Mapping

:::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).

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Table of Links

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

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

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