Work

Mathematical Foundations of the Self Organized Neighbor Embedding (SONE) for Dimension Reduction and Visualization

Year: 2011

Type: conference-paper

Abstract: . In this paper we propose the generalization of the recently introduced Neighbor Embedding Exploratory Observation Machine (NE-XOM) for dimension reduction and visualization. We provide a general mathematical framework called Self Organized Neighbor Embedding (SONE).Ittreatsthecomponents, likedatasimilarity measures andneighborhood functions, independently and easily changeable. And it enables the utilization of different divergences, based on the theory of Fréchet derivatives. In this way we propose a new dimension reduction and visualization algorithm, which can be easily adapted to the user specific request and the actual problem. 1

Source: University of Groningen research database (University of Groningen / Centre for Information Technology)

Authors: Kerstin Bunte, Frank-Michael Schleif, Sven Haase, Thomas Villmann

Institution: Hochschule Mittweida

Language: English

Topic: Face and Expression Recognition

Subfield: Computer Vision and Pattern Recognition

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, Nederlandse Organisatie voor Wetenschappelijk Onderzoek

OpenAlex ID: W21647619

FWCI: 0.712

Cites: 46

Cited by: 4

Related to: 10