๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The geometry of linear separability in data sets

โœ Scribed by Adi Ben-Israel; Yuri Levin

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
158 KB
Volume
416
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

โœฆ Synopsis

We study the geometry of datasets, using an extension of the Fisher linear discriminant to the case of singular covariance, and a new regularization procedure. A dataset is called linearly separable if its different clusters can be reliably separated by a linear hyperplane. We propose a measure of linear separability, easily computed as an angle that arises naturally in our analysis. This angle of separability assumes values between 0 and ฯ€/2, with high [resp. low] values corresponding to datasets that are linearly separable, resp. inseparable.

๐Ÿ“œ SIMILAR VOLUMES

The geometry of sets of orthogonal frequ
The geometry of sets of orthogonal frequency hypercubes
โœ V. C. Mavron; T. P. McDonough; Gary L. Mullen ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 155 KB

## Abstract We extend the notion of a framed net, introduced by D. Jungnickel, V. C. Mavron, and T. P. McDonough, J Combinatorial Theory A, 96 (2001), 376โ€“387, to that of a __d__โ€framed net of type โ„“, where __d__โ€‰โ‰ฅโ€‰2 and 1โ€‰โ‰คโ€‰โ„“โ€‰โ‰คโ€‰__d__โ€1, and we establish a correspondence between __d__โ€framed nets o

Quantitative data analysis of in vivo MR
Quantitative data analysis of in vivo MRS data sets
โœ A. van den Boogaart ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 277 KB ๐Ÿ‘ 2 views

The di โ€ erent characteristics between frequency domain and time domain analysis techniques are detailed for their application to in vivo MRS data sets. With the aim of quantitative analysis of MRS signals, i.e. estimation of parameters in the physical model function that describes the MRS experiment