If ‘0’ is showing up in the filter input for score, then it must be being set to the $model that you use as the basis for your search somehow, either as a GET parameter (in which case it is massively assigned to the model in the action, presuming you are using the default Gii-generated code), or by the model itself.
What kind of variable in your model is score? Does it directly correspond to a table column, or is it coded in the model?
You should include the url that generates this page (without making any ajax calls), the code in your action, the code in your view and your model code.