Neuroscience and free will

A deterministic process with apparently random initial conditions that can be hijacked by an entity possessing intention and ability to direct the mechanism fits our intuitive understanding of free will and creativity.

This doesn't answer the questions of "what is an entity?" and "how does an entity interface with the normally random factors to control them in a meaningful way?", but simply removes it one step further beyond our domain. The best answer for these questions to avoid an infinite regress might be to invoke the Loop of Oneness of existence which is another way of saying: this is the beginning and the end of all knowledge and reality.

It doesn't quite fit my understanding. For instance, were the works of Shakespeare all fueled entirely by random perturbations in ideas, word selections, etc. etc. that were merely creatively selected by the entity Shakespeare? Given the way beyond microscopic improbability of random selections of ideas and words actually meaning anything at all, much less something not only meaningful but also beautiful, powerful and directly a part of a particular unfolding story. When put this way it doesn't seem plausible at all, at least to me. 

This is the same problem that in neo-Darwinism random mutations to a gene have in creating new 3-dimensional folds to a protein that give it a new function. The beyond vast majority of random mutations are deleterious, and multiple simultaneous random mutations are even more so. The functional and non-deleterious amino acid sequence mutations are a vanishingly tiny percentage of the total sequence space - a random search just doesn't do.

Does creativity and innovation go beyond programming, experience and unconscious selection from random events? I think so. Great composers like Mozart often experienced new musical compositions appearing from nothing in their consciousness. Fuelled by random selections of notes? Come on. 

"In his book Psychology of Invention, mathematician Jaques Hadamard described his own creative mathematical thinking as wordless and sparked by mental images that reveal the entire solution to a problem. Penrose agrees. He says mathematical solutions can wordlessly appear in his mind. It may take days to work out the details even though the solution is clearly understood."  (From this article)

Selection of random events again, this time solutions to mathematical problems? 

I think that the unknowable innermost nature of the conscious "entity" that you refer to must encompass the ability to create complex organized information in response to intent and desire. Of course the entity must also be properly prepared by having absorbed the necessary background information.