<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we introduce a method of classification based on data probes. Data points are considered as point masses in space and a probe is simply a particle that is launched into the space. As the probe passes by data clusters, its trajectory will be influenced by the point masses. We use this information to help us to find vertical trajectories. These are trajectories in the input space that are mapped onto the same value in the output space and correspond to the data classes.</p></abstract>

In this paper we introduce a method of classification based on data probes. Data points are considered as point masses in space and a probe is simply a particle that is launched into the space. As the probe passes by data clusters, its trajectory will be influenced by the point masses. We use this information to help us to find vertical trajectories. These are trajectories in the input space that are mapped onto the same value in the output space and correspond to the data classes.

Data Probes, Vertical Trajectories and Classification: A Tentative Study

Hubert Curien Laboratory, Jean Monnet University of Saint-Etienne, 18 rue Benoit Lauras, 42023 Saint-Etienne, david.pearson@univ- st-etienne.fr

International Journal of Applied Mathematics and Computer Science

{"article-title":"Data Probes, Vertical Trajectories and Classification: A Tentative Study"}

In this paper we introduce a method of classification based on data probes. Data points are considered as point masses in space and a probe is simply a...

Data Probes, Vertical Trajectories and Classification: A Tentative Study

Published Online: Apr 05, 2007

Page range: 107 - 112

DOI: https://doi.org/10.2478/v10006-007-0010-7

Keywords
classification, output zeroing, nonlinear control, differential geometry

This content is open access.

Data Probes, Vertical Trajectories and Classification: A Tentative Study

Published Online: Apr 05, 2007

Page range: 107 - 112

DOI: https://doi.org/10.2478/v10006-007-0010-7

Keywordsclassification, output zeroing, nonlinear control, differential geometry

This content is open access.

Keywords
classification, output zeroing, nonlinear control, differential geometry