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A number of stochastic methods developed for the calculation of fermion loopsare investigated and compared, in particular with respect to their efficiencywhen implemented on Graphics Processing Units (GPUs). We assess the performanceof the various methods by studying the convergence and statistical accuracyobtained for observables that require a large number of stochastic noisevectors, such as the isoscalar nucleon axial charge. The various methods arealso examined for the evaluation of sigma-terms where noise reductiontechniques specific to the twisted mass formulation can be utilized thusreducing the required number of stochastic noise vectors.

Evaluation of disconnected quark loops for hadron structure using GPUs