Disclosed herein are methods and systems for correcting errors in sample amplification, including the errors occurred in determining the number of targets in samples. In some embodiments, the method comprises: stochastically barcoding a plurality of targets in the samples using oligonucleotides comprising stochastic barcodes to generate stochastically barcoded targets; contacting one or more defined barcoded primers with each of the one or more samples; and determining an amplification noise.