In contrast to the artificial spectra used in our first test case, spectra obtained experimentally contain baseline noise, due to both electronic noise and minor impurities arising from the solvent, reagents, substrates, or byproducts present in low concentrations. To test the ability of our approach to analyze NMR spectra in the presence of baseline noise, we conducted a benchmark test with noise purposefully included. To do so, a vector of random points was created, such that the standard deviation of the vector was 0.01 (approximately 1% of the highest intensity peak in the spectrum), and this vector was added to the artificial spectrum used in Benchmark 1.