Strong nonlinear effects typically dominate the dynamics of mode-locked fiber oscillators. These effects are simultaneously sources of fascinatingly rich dynamics and a technological limitation. While most approaches involve reduction of the nonlinear effects through larger chirping of the pulses or use of large-mode-area fibers, alternative approaches, such as seeking out new mode-locking regimes [1] or even direct compensation of nonlinear effects [2] have been proposed. However, the latter has not been fully realized experimentally.