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Quantum Isomap algorithm for manifold learning

delete2024-07-19
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PRE
AI
W
Weijun Feng
G
Gongde Guo
S
Song Lin *
Y
Yongzhen Xu *
DOI:10.1103/PhysRevApplied.22.014049delete
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Abstract

Abstract

En 中文
Isometric feature mapping (Isomap) is a nonlinear dimensionality reduction algorithm based on the concept of manifold learning. The algorithm is widely used in neuroimaging, spectral analysis, and other fields. While Isomap performs well in certain scenarios, it still faces the challenge of time complexity when dealing with large-scale data sets. In this paper, we proposed a quantum Isomap algorithm that runs with quadratic dependence on the number of data points. Technically, our algorithm is based on two subroutines, quantum Floyd's algorithm and quantum multidimensional scaling. They are of independent interest and may serve as potential tools for addressing other problems.

Journal

Physical Review Applied cover
Physical Review Applied
IF:
4.4
Papers:
7.1K
Citations:
2.8W

Organization

F
Fujian Normal University
Scholars:
1.2W
Papers: 8.0K
Citations: 1.3W
S
southern medical university - china
Scholars:
4.6W
Papers: 2.5W
Citations: 50
Cited Papers

Cited Papers

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