Proceedings of the 18th ACM Conference on Information and Knowledge Management 2009
DOI: 10.1145/1645953.1646032
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Empirical justification of the gain and discount function for nDCG

Abstract: The nDCG measure has proven to be a popular measure of retrieval effectiveness utilizing graded relevance judgments. However, a number of different instantiations of nDCG exist, depending on the arbitrary definition of the gain and discount functions used (1) to dictate the relative value of documents of different relevance grades and (2) to weight the importance of gain values at different ranks, respectively.In this work we discuss how to empirically derive a gain and discount function that optimizes the eff… Show more

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Cited by 45 publications
(45 citation statements)
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“…The performance of the candidate symptom list ranking is evaluated using nDCG (normalized discounted cumulative gain) as formalized in Eq. (4) 30 , where the unique candidate symptoms are weighted by their partial overlap likelihood with the gold-standard symptoms (e.g., if “depression” overlaps a symptom annotation 34 of 46 times in the corpus, its “gold” score is 0.739). nDCG is a widely employed evaluation criterion in Information Retrieval (IR) 30 .…”
Section: Methodsmentioning
confidence: 99%
“…The performance of the candidate symptom list ranking is evaluated using nDCG (normalized discounted cumulative gain) as formalized in Eq. (4) 30 , where the unique candidate symptoms are weighted by their partial overlap likelihood with the gold-standard symptoms (e.g., if “depression” overlaps a symptom annotation 34 of 46 times in the corpus, its “gold” score is 0.739). nDCG is a widely employed evaluation criterion in Information Retrieval (IR) 30 .…”
Section: Methodsmentioning
confidence: 99%
“…NDCG, which is also adopted in TREC and INEX, has seen increasing use in evaluations based on non-binary scales of relevance. Despite being a well-established and reliable evaluation measure, using NDCG requires deciding on the values of the gain vector and the discount function as well as producing an ideal ranked list of the results (Voorhees, 2001;Zhou et al, 2012;Kanoulas and Aslam, 2009). These details are unclear for both initiatives 25 ; our best guess for the discount function is that both used the default one: log of the document's rank (see Section 3.5.2).…”
Section: Methodsmentioning
confidence: 99%
“…A popular gain function is the exponential (2 i k − 1), which promotes the highest relevance levels, and a typical discount function is the the logarithmic discount 1/ log 2 (k + 1) or the zipfian discount 1/k. Further information can be found in [14]. These functions are wellchosen heuristics, and we propose to use the relevance weight P…”
Section: Graded Relevance Metrics and The Udmmentioning
confidence: 99%