Here is how to clear all filtering in datatable.
function fnResetAllFilters() {
var oSettings = oTable.fnSettings();
for(iCol = 0; iCol < oSettings.aoPreSearchCols.length; iCol++) {
oSettings.aoPreSearchCols[ iCol ].sSearch = '';
}
oTable.fnDraw();
}
So to clear just one filter, do:
function reset_filter_with_index(iCol){
var oSettings = oTable.fnSettings();
oSettings.aoPreSearchCols[ iCol ].sSearch = '';
oTable.fnDraw();
}