Forbidden magnification? II

The twin of this paper, "Forbidden Magnification? I." [1], presents systematic SOM simulations with the explicit magnification control scheme of Bauer, Der, and Herrmann [2] on data for which the theory does not guarantee success, namely data that are n-D, n > 2 and/or data whose components in the different dimensions are not statistically independent. For the unsupported n = 2 cases that we investigated the simulations show that even though the magnification exponent achieved achieved by magnification control is not the same as the intended intended, the direction and sign of achieved systematically follows intended with a more or less constant offset. We experimentally showed that for simple synthetic higher dimensional data negative magnification has the desired effect of improving the detectability of rare classes. In this paper we study further theoretically unsupported cases, including experiments with real data. 1 Known limits of SOM magnification control Controllin...

• Type: Conference
• Year: 2004
• Where: ESANN
• Authors: Erzsébet Merényi, Abha Jain
• Keywords: ESANN 2004, ESANN 2007, Magnification, Magnification Control, Magnification Exponent