Manifold Matching using Shortest-Path Distance and Joint Neighborhood Selection

Fuente: arXiv
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Autores principales: Shen, Cencheng, Vogelstein, Joshua T., Priebe, Carey E.
Formato: Preprint
Publicado: 2014
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author Shen, Cencheng
Vogelstein, Joshua T.
Priebe, Carey E.
author_facet Shen, Cencheng
Vogelstein, Joshua T.
Priebe, Carey E.
contents Matching datasets of multiple modalities has become an important task in data analysis. Existing methods often rely on the embedding and transformation of each single modality without utilizing any correspondence information, which often results in sub-optimal matching performance. In this paper, we propose a nonlinear manifold matching algorithm using shortest-path distance and joint neighborhood selection. Specifically, a joint nearest-neighbor graph is built for all modalities. Then the shortest-path distance within each modality is calculated from the joint neighborhood graph, followed by embedding into and matching in a common low-dimensional Euclidean space. Compared to existing algorithms, our approach exhibits superior performance for matching disparate datasets of multiple modalities.
format Preprint
id arxiv_https___arxiv_org_abs_1412_4098
institution arXiv
publishDate 2014
record_format arxiv
spellingShingle Manifold Matching using Shortest-Path Distance and Joint Neighborhood Selection
Shen, Cencheng
Vogelstein, Joshua T.
Priebe, Carey E.
Machine Learning
Matching datasets of multiple modalities has become an important task in data analysis. Existing methods often rely on the embedding and transformation of each single modality without utilizing any correspondence information, which often results in sub-optimal matching performance. In this paper, we propose a nonlinear manifold matching algorithm using shortest-path distance and joint neighborhood selection. Specifically, a joint nearest-neighbor graph is built for all modalities. Then the shortest-path distance within each modality is calculated from the joint neighborhood graph, followed by embedding into and matching in a common low-dimensional Euclidean space. Compared to existing algorithms, our approach exhibits superior performance for matching disparate datasets of multiple modalities.
title Manifold Matching using Shortest-Path Distance and Joint Neighborhood Selection
topic Machine Learning
url https://arxiv.org/abs/1412.4098