Geometry of multiclass Fisher's linear discriminant analysis via communication theory

Abstract

Event Abstract Back to Event Geometry of multiclass Fisher's linear discriminant analysis via communication theory Jun Fujiki1* 1 Fukuoka University, Applied Mathematics, Faculty of Science, Japan This paper provides a geometrical aspect of Fisher's linear discriminant analysis (FLDA) for a multiclass case. FLDA has been widely used due to its simple formulation and low computational costs. Recently, a new framework of pattern recognition based on a communication of class information is proposed. This model is quite different from a commonly used framework of pattern recognition as a mapping from the set of patterns to the set of classes. In the new framework, patterns are regarded as class information with redundant encoding. Then it has been shown that two-class FLDA can be described as communication theory of noisy channel. In this paper, we extend the two-class FLDA as communication theory to the multiclass FLDA case. Acknowledgements This is a joint work with Masaru Tanaka (Fukuoka Univ.), Hitoshi Sakano (NTT Data) and Akisato Kimura (NTT communication Science Laboratories). Keywords: discriminant analysis, information geometry, Communication theory, Signal space, reduction mapping, imbedding mapping Conference: German-Japanese Adaptive BCI Workshop, Kyoto, Japan, 28 Oct - 29 Oct, 2015. Presentation Type: Oral presentation (Invited speakers) Topic: Adaptive BCI Citation: Fujiki J (2015). Geometry of multiclass Fisher's linear discriminant analysis via communication theory. Front. Comput. Neurosci. Conference Abstract: German-Japanese Adaptive BCI Workshop. doi: 10.3389/conf.fncom.2015.56.00023 Copyright: The abstracts in this collection have not been subject to any Frontiers peer review or checks, and are not endorsed by Frontiers. They are made available through the Frontiers publishing platform as a service to conference organizers and presenters. The copyright in the individual abstracts is owned by the author of each abstract or his/her employer unless otherwise stated. Each abstract, as well as the collection of abstracts, are published under a Creative Commons CC-BY 4.0 (attribution) licence (https://creativecommons.org/licenses/by/4.0/) and may thus be reproduced, translated, adapted and be the subject of derivative works provided the authors and Frontiers are attributed. For Frontiers’ terms and conditions please see https://www.frontiersin.org/legal/terms-and-conditions. Received: 17 Sep 2015; Published Online: 04 Nov 2015. * Correspondence: Dr. Jun Fujiki, Fukuoka University, Applied Mathematics, Faculty of Science, Jonan-ku, 8140180, Japan, fujiki@fukuoka-u.ac.jp Login Required This action requires you to be registered with Frontiers and logged in. To register or login click here. Abstract Info Abstract The Authors in Frontiers Jun Fujiki Google Jun Fujiki Google Scholar Jun Fujiki PubMed Jun Fujiki Related Article in Frontiers Google Scholar PubMed Abstract Close Back to top Javascript is disabled. Please enable Javascript in your browser settings in order to see all the content on this page.