[R] Re: Logistic Regression

Prof Brian Ripley ripley at stats.ox.ac.uk
Sun Sep 14 09:17:20 CEST 2003

On Sat, 13 Sep 2003, Trevor Hastie wrote:

> Christoph Lehman had problems with seperated data in two-class logistic
> regression.
> One useful little trick is to penalize the logistic regression using a
> quadratic penalty on the coefficients. I am sure there are functions in
> the R contributed libraries to do this; 

Using nnet/multinom with weight decay does exactly this.

> otherwise it is easy to achieve via IRLS using ridge regressions. Then
> even though the data are separated, the penalized log-likelihood has a
> unique maximum. One intriguing feature is that as the penalty parameter
> goes to zero, the solution converges to the SVM solution - i.e. the
> optimal separating hyperplane see
> http://www-stat.stanford.edu/~hastie/Papers/margmax1.ps

Brian D. Ripley,                  ripley at stats.ox.ac.uk
Professor of Applied Statistics,  http://www.stats.ox.ac.uk/~ripley/
University of Oxford,             Tel:  +44 1865 272861 (self)
1 South Parks Road,                     +44 1865 272866 (PA)
Oxford OX1 3TG, UK                Fax:  +44 1865 272595

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