I\'m tring to analyze below data, modeled it with logistic regression first and then did the prediction, calculated the accuracy & auc; then performed recursive feature sele
There is simply no guarantee that any kind of feature selection (backward, forward, recursive - you name it) will actually lead to better performance in general. None at all. Such tools are there for convenience only - they may work, or they may not. Best guide and ultimate judge is always the experiment.
Apart from some very specific cases in linear or logistic regression, most notably the Lasso (which, no coincidence, actually comes from statistics), or somewhat extreme cases with too many features (aka The curse of dimensionality), even when it works (or doesn't), there is not necessarily much to explain as to why (or why not).