caa a22 4500 605468680 CHVBK 20210128100318.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00500-014-1354-1 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1354-1 Kramer Oliver Computational Intelligence Group, Department of Computing Science, University of Oldenburg, Uhlhornsweg 84, 26111, Oldenburg, Germany aut Unsupervised nearest neighbor regression for dimensionality reduction [Elektronische Daten] [Oliver Kramer] Large numbers of high-dimensional patterns are collected in a variety of disciplines, from astronomy to bioinformatics. In this article, we present an approach to non-linear dimensionality reduction based on fitting nearest neighbor regression to the unsupervised regression framework for learning of low-dimensional manifolds. For each high-dimensional pattern, a low-dimensional latent point is generated. The dimensionality of the induced optimization problem grows with the number of patterns. To cope with the large solution space, an iterative solution construction scheme is proposed. In this paper, we introduce two strategies to embed high-dimensional data. First, the latent sorting approach allows embeddings in a one-dimensional latent space corresponding to a sorting of the high-dimensional patterns. Second, Gaussian embeddings randomly generate candidate positions based on sampling from the Gaussian distribution employing distances on data space as variances. Kernel functions increase the flexibility of the approach by mapping the patterns to feature spaces. We analyze and compare the algorithms experimentally on a set of test functions. Springer-Verlag Berlin Heidelberg, 2014 Dimensionality reduction nationallicence Manifold learning nationallicence Unsupervised regression nationallicence Nearest neighbors nationallicence Soft Computing Springer Berlin Heidelberg 19/6(2015-06-01), 1647-1661 1432-7643 19:6<1647 2015 19 500 https://doi.org/10.1007/s00500-014-1354-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00500-014-1354-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kramer Oliver Computational Intelligence Group, Department of Computing Science, University of Oldenburg, Uhlhornsweg 84, 26111, Oldenburg, Germany aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/6(2015-06-01), 1647-1661 1432-7643 19:6<1647 2015 19 500