The choice of the gain and discount function for the popular IR performance measure normalised Discounted Cumulative Gain (nDCG) has been discussed and empirically justified in a CIKM-2009 paper through analysis of variance (ANOVA).
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My study of machine learning, data mining, computational linguistics and information retrieval, towards the grand goal of developing the "perfect search engine" that "understands exactly what you mean and gives you back exactly what you want" (Larry Page).
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