Virtually all complaints ask for awards of actual damages and disgorgement of profits attributable to infringement, prejudgment interest, attorney fees, and costs. In these respects, the complaints are quite ordinary. But three types of remedy claims merit special attention: claims for awards of statutory damages; court orders to destroy models trained on infringing works; and most bizarrely, court orders to establish a regulatory regime to oversee generative AI system operations.
Source: How to Think About Remedies in the Generative AI Copyright Cases