A common problem in data analysis is the separation of signal and background. We revisit generalise so-called $sWeights$ method, which allows one to calculate an empirical estimate density a control variable using fit mixed background model discriminating variable. show that are special case larger class Custom Orthogonal Weight functions (COWs), can be applied more general problems variables n...

Let sν ◦ sµ denote the plethystic product of Schur functions and sµ. In this article we define an explicit polynomial representation corresponding to with basis indexed by certain ‘plethystic’ semistandard tableaux. Using these representations prove generalizations four results on plethysms due Bruns–Conca–Varbaro, Brion, Ikenmeyer authors. particular, give a sufficient condition for multiplici...