Backbone.js: correct way of filtering a collection?

The current method I'm using is to filter a collection, which returns an array, and use

collection.reset(array)

to re-populate it. However, this modifies the original collection, so I added an array called "originalCollectionArray" which keeps track of the initial array state of the collection. When no filtering is active I simply use

collection.reset(originalCollectionArray)

But then, I need to keep track of adding and removing models from the real collection, so I did this:

// inside collection
initialize: function(params){
    this.originalCollectionArray = params;
    this.on('add', this.addInOriginal, this);
    this.on('remove', this.removeInOriginal, this);
},
addInOriginal: function(model){
    this.originalCollectionArray.push(model.attributes);
},
removeInOriginal: function(model){
    this.originalTasks = _(this.originalTasks).reject(function(val){
        return val.id == model.get('id');
    });
},
filterBy: function(params){
    this.reset(this.originalCollectionArray, {silent: true});
    var filteredColl = this.filter(function(item){
        // filter code...
    });
    this.reset(filteredColl);
}

This is quickly becoming cumbersome as I try to implement other tricks related to the manipulation of the collection, such as sorting. And frankly, my code looks a bit hacky. Is there an elegant way of doing this?

Thanks