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Boosting Diracs for Electrophoresis

Electrophoresis is a biochemical process widely used in life sciences and genetics. Recovering information on weights and proportions of molecules from electrophoresis signals may be viewed as a linear inverse problem in the context of a regression setup. The target function to be estimated is known to be positive so that a positive estimator based on discretized Dirac functions is proposed. The methodology is to use boosting method for the target function with respect to discretized Dirac functions. The method is illustrated on simulated data and applied to electrophoresis.