What is the evaluation measure discounted cumulative gain (DCG)?

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What is the evaluation measure discounted cumulative gain (DCG)?

Discounted cumulative gain (DCG) is an evaluation measure used in information retrieval to assess the quality of search engine results or recommendation systems. It measures the effectiveness of a ranked list of items by assigning higher scores to relevant items appearing at the top of the list. DCG takes into account both the relevance and the position of each item in the list. The relevance scores are typically graded, with higher scores indicating more relevant items. DCG discounts the relevance scores based on their position in the list, giving more weight to items at the top. The formula for DCG involves summing up the discounted relevance scores for each item in the list.