Denoising of test spectrum (cf. Fig. 2, continuum-subtracted) with pixel-dependent noise. Note how most of the main features are detected and how, for this particular noise realisation, no false detections are found in the complicated and noisy long-wavelength region. We do incur a false detection at the very short-wavelength end of the spectrum. This is a systematic edge-effect resulting from a lack of information that would otherwise allow the algorithm to properly distinguish this as a noise feature.