AngularJS - jQueryUI slider values reflection on models

I have the following directive:

directive('yearSlider', function(Filter) {
    return {
        restrict: 'E',          // must be an element
        transclude: false,      // don't preserve content
        controller: function($scope) {
            $scope.$watch('yearMin + yearMax', function(newVal, oldVal) {
                if(newVal === oldVal) return; // skip initialization

                $("#year-slider").slider("option", "min", parseInt($scope.yearMin));
                $("#year-slider").slider("option", "max", parseInt($scope.yearMax));
                $("#year-slider").slider("value", $("#year-slider").slider("value"));
            });
        },
        link: function postLink($scope, $element) {
            $element.slider({
                range: true,
                min: 1900,
                max: new Date().getFullYear(),
                values: [ 1900, new Date().getFullYear() ],
                slide: function(event, ui) {
                    $scope.yearFrom = ui.values[0];
                    $scope.yearTo = ui.values[1];
                    $scope.$apply();
                },
                change: function(event, ui) {
                    $scope.yearFrom = ui.values[0];
                    $scope.yearTo = ui.values[1];
                    Filter.apply($scope);
                }
            });
        },
        template:
            '<div id="year-slider"></div>',
        replace: true
    }
}).

This directive is used in a view and it renders a slider correctly.

I'm assigning both values of the slider to two models yearFrom and yearTo to get the range of years specified by the slider. In some cases, I need to change the min/max values of the slider and that's what I'm doing in the controller above.

The issue here is that I'm watching for both values yearMin and yearMax and these two models change consecutively which leads to the controller and change of $element.slider executing twice.

What I'm trying to achieve is to execute this once but the fact that I have two models makes it logically impossible.