Natalie Imbruglia's upcoming album Algorithm inspired by 'most challenging time' with her mental health Natalie Imbruglia has announced her new album Algorithm - her first in five years - alongside the shimmering lead single Upside Down. 29 April 2026 Natalie Imbruglia is gearing up for a full‑blown comeback, dropping her new album Algorithm on September 4 - and she's promising fans a version of herself they've never seen before.