[{"name":"store1","products":[{"name":"product 1","reviews":[{"user":"john doe","stars":5},{"user":"jane doe","stars":1}]},{"name":"product 2","reviews":[{"user":"jane doe","stars":3}]}]}]

db.collection.update({},[{"$set":{"products":{"$filter":{"input":"$products","cond":{"$not":[{"$in":[1,"$$p.reviews.stars"]}]},"as":"p"}}}}])