I think for her, this record is sort of a retrospective of her career ... it's very self-referencing, ... I think the reinvention this time is not so much of a reinvention as an embracing of what it is and what she does.
"Stuart Price" is a three-time Grammy-winning British electronic musician, songwriter, and record producer known for his work with musician/artists including New Order, Madonna (entertainer)/Madonna, Kylie Minogue, Example (musician)/Example, Take That, Missy Elliott, Scissor Sisters, The Killers, Pet Shop Boys, Brandon Flowers, Gwen Stefani, Seal (musician)/Seal, Keane (band)/Keane, Frankmusik and Hard-Fi. His acts include British electronic pop/rock band Zoot Woman (with Adam Blake (musician)/Adam Blake and Johnny Blake), Les Rythmes Digitales, Paper Faces, Man With Guitar, Thin White Duke (not to be confused with The Thin White Duke/David Bowie's earlier persona of the same name), and the parodic French moniker Jacques Lu Cont (though he actually grew up in Reading, Berkshire/Reading, England).More Stuart Price on Wikipedia.
There's a bit of a danger with dance music that you can create something that's cool but doesn't have much substance to it. Every few months, a club record comes along that hits a nerve with people, and they connect to it. They don't know why, but there is something magical in it.
Basically, it's Madonna saying, 'This is who I am. This is what I do. Take it or leave it.