Her new album is a work of self-citation, rummaging around in Gaga’s own past for inspiration. It’s also, somehow, the freshest collection of songs she has released in years.

“Mayhem” puts the lie to that idea: Brash, squirmy, full of detailed grooves and expertly crafted hooks, it’s a winning reclamation of her trademark sound — her best since 2011’s “Born This Way” and precisely the album you’d want her to drop before headlining Coachella, as Lady Gaga will do next month.