双曲空间的降维
度量几何
2007-10-09 v1
摘要
建立了双曲空间的降维理论。当点彼此相距较远时,可实现到有界畸变的双曲平面的嵌入。
引用
@article{arxiv.0710.1343,
title = {Dimension Reduction for the Hyperbolic Space},
author = {itai benjamini and Yury Makarychev},
journal= {arXiv preprint arXiv:0710.1343},
year = {2007}
}
相关论文
查看更多相关论文 →
几何拓扑 · 数学
Finding Fibonacci in the Hyperbolic Plane
MurphyKate Montee
2024-04-09
度量几何 · 数学
Conformal dimension and canonical splittings of hyperbolic groups
Matias Carrasco Piaggio
2013-11-05
度量几何 · 数学
Reduced polygons in the hyperbolic plane
Marek Lassak
2024-06-07
数学物理 · 物理学
A description of several coordinate systems for hyperbolic spaces
S. S. e Costa
2007-05-23
度量几何 · 数学
Comparison theorems for hyperbolic type metrics
Oleksiy Dovgoshey, Parisa Hariri, Matti Vuorinen
2018-01-29
高能物理 - 理论 · 物理学
On Effective Dimensional Reduction in Hyperbolic Spaces
E. V. Gorbar
2008-09-17
偏微分方程分析 · 数学
Hyperbolic systems of conservation laws in one space dimension
Alberto Bressan
2007-05-23
概率论 · 数学
Hyperbolic Measures on Infinite Dimensional Spaces
Sergey G. Bobkov, James Melbourne
2014-05-14
几何拓扑 · 数学
Lower Bounds on Volumes of Hyperbolic 3-Manifolds via Decomposition
Colin Adams, Michele Capovilla-Searle, Darin Li, Lily Qiao Li +4
2021-11-12
计算机视觉与模式识别 · 计算机科学
A Set-to-Set Distance Measure in Hyperbolic Space
Pengxiang Li, Wei Wu, Zhi Gao, Xiaomeng Fan +5
2025-06-24
数值分析 · 数学
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space
Martin Holler, Alexander Schlüter, Benedikt Wirth
2024-03-14
度量几何 · 数学
Diameter, width and thickness in the hyperbolic plane
Ákos G. Horváth
2020-12-01
高能物理 - 理论 · 物理学
Harmonic Superspaces in Low Dimensions
P. S. Howe, M. I. Leeming
2010-04-06
机器学习 · 计算机科学
Hyperbolic Diffusion Embedding and Distance for Hierarchical Representation Learning
Ya-Wei Eileen Lin, Ronald R. Coifman, Gal Mishne, Ronen Talmon
2023-05-31
动力系统 · 数学
Constructing the Hyperbolic Plane as the reduction of a three-body problem
Richard Montgomery
2016-09-20
高能物理 - 唯象学 · 物理学
Hyperbolic extra-dimensions in particle physics and beyond
Alan S. Cornell
2015-07-17
度量几何 · 数学
On the perimeter, diameter and circumradius of ordinary hyperbolic reduced polygons
Ádám Sagmeister
2025-02-20
统计方法学 · 统计学
A Subspace-based Approach for Dimensionality Reduction and Important Variable Selection
Di Bo, Hoon Hwangbo, Vinit Sharma, Corey Arndt +1
2021-09-28
广义相对论与量子宇宙学 · 物理学
Hyperbolic Mass in 2+1 Dimensions
Raphaela Wutte
2025-09-03
广义相对论与量子宇宙学 · 物理学
Spontaneous Dimensional Reduction in Quantum Gravity
S. Carlip
2016-11-15
数值分析 · 数学
Dimensional splitting of hyperbolic partial differential equations using the Radon transform
Donsub Rim
2018-12-27
计算机视觉与模式识别 · 计算机科学
Geometry-aware Distance Measure for Diverse Hierarchical Structures in Hyperbolic Spaces
Pengxiang Li, Yuwei Wu, Zhi Gao, Xiaomeng Fan +4
2025-06-24
计算机视觉与模式识别 · 计算机科学
Hyperbolic Vision Transformers: Combining Improvements in Metric Learning
Aleksandr Ermolov, Leyla Mirvakhabova, Valentin Khrulkov, Nicu Sebe +1
2022-03-23
复变函数 · 数学
Hyperbolic-type metrics in space
Aimo Hinkkanen, Poranee Khayo
2026-05-27
机器学习 · 计算机科学
Representation Tradeoffs for Hyperbolic Embeddings
Christopher De Sa, Albert Gu, Christopher Ré, Frederic Sala
2018-04-25