AngularJS 'ng-filter' is very slow on array of ~1000 elements

I have a simple <input> search filter set up for a list of itemnames in AngularJS.

My list looks like this:

var uniqueLists = {
    category1: ['item1', 'item2', 'item3' ... 'item180' ], // Real list contains ~180 items
    category2: ['itemA', 'itemB', 'itemC' ... 'itemZZZ' ], // Real list contains ~1080 items
    category3: ['otheritem1', 'otheritem2', 'otheritem3' ]  // Real list contains 6 items
  }

I iterate through this list in Angular and print out the results in a <ul> for each category.

<div ng-repeat="(key,val) in uniqueLists">
    <form ng-model="uniqueLists[index][0]">
        <input ng-model="searchFilter" type="text" />
            <ul>
                <li ng-repeat="value in val | filter: searchFilter">
                    <label>
                         <input type="checkbox" ng-model="selectedData[key][value]" />
                        {{value}}
                    </label>
                </li>
            </ul>
    </form>
</div>

For clarity, selectedData looks like this:

var selectedData = {category1: [item1:true], category2: [], category3: []); // if 'item1's checkbox is checked.

This list is working just fine, although the filter is quite laggy, even on my quite-fast computer. Typing a letter into the input takes 1-2 seconds for the list to update.

I'm aware that this is likely because I'm filtering through around about 1000 items at a time, but I haven't seen any discussion of this elsewhere.

Is there any way to get better performance out of the filter?