Abstract: Non-negative contributions to a spectrum from time-varying spectroscopy data can be determined. Reference basis functions can transform spectroscopy data into an equation (e.g., an objective function). Each reference basis function can correspond to a different time and a different particle, e.g., a different mass. The objective function can include a noise vector that modifies the spectroscopy data to provide a solution that is constrained to be non-negative. The noise vector can be estimated by minimizing the objective function to obtain an estimated vector, which can be truncated that satisfies a given constraint. The noise vector can be computed from the difference of the estimated vector and the truncated vector, and be accumulated. The noise vector can be used to update the objective function, thereby providing a new estimated vector in an iterative loop.