The image below is generated in real time by a Generative Adversarial Network trained on existing works of art (try reloading the page). The process is described in their paper which also demonstrates that it is indistinguishable by humans from art generated by contemporary artists and shown in top art fairs. They make no claim of copyright, freely provide the code that produces it and similar techniques have been used to produce many forms of work that would be copyrightable if produced by a human.
Can we say if it would be possible to successfully claim/defend copyright on such work in any way? Has anyone actually managed to defend such a claim? I am aware of the different decisions that have been made around AI as an inventor in patent law, but copyright seems very different. This question is somewhat prompted by this answer, but the question is different. Any jurisdiction would be interesting.