The present disclosure relates to localization of bleeds (e.g., arterial bleed events) using a limited or minimal number of ultrasound scans. In one implementation, Doppler ultrasound is used to measure blood flow velocities in a one-dimensional (1D) arterial tree model to determine the location and size of bleed. In a second implementation, ultrasound measured waveforms for blood flow velocity and vessel cross-sectional area are de-composed. The features in the de-composed waveforms are then used to locate the bleed using a trained algorithm.