The cops do a quick investigation. If ONE neighbor complains and no one else does, then it is his word against yours and since you are innocent until proven guilty, they go no further with the issue.
However, if there are a BUNCH of neighbors who complain then it is a BUNCH of people against your word. If one of them has a video tape or some other evidence of what is going on, then the cops quite likely will issue a citation against you. In that case you had better get a lawyer.