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The performance of a learner has traditionally been measured in terms of its generalization (the ability to generalize well to unseen examples) and its complexity (the cost in time, memory, and other resources). However, these metrics have generally been measured separately and have often been badly skewed by the cost-cutting that is inherent in many machine learning systems.
In this paper, we introduce a new metric called improvement, which considers simultaneously both generalization and complexity. We demonstrate that the rate of improvement at any time t is correlated with the growth of the model relative to the training data, which we call “cheap learning growth.” We also show that this correlation holds well when “cheap learning growth” is replaced by a number of other common measures of learning, including the number of training samples, the growth of the error rate of the model, or the increase in the number of rules required to represent the model. The average growth rate of a model tends to scale with its cost-cutting, explaining both the positive correlation between the rate of improvement and cheap learning growth, and the negative correlation between the rate of improvement and other measures of learning, which may be required both to obtain a learning model in the first place and to evaluate its generalization ability. These results may be used - with some immediate and some more distant implications - to both tune and evaluate learning systems.
Data mining has no commonly accepted definition. The term ‘data mining’ originated in the context of business applications, where ‘data’ denotes data that is collected or processed (usually by computers) for an organization’s use and ‘mining’ the data results in a discovery (Beller and Girard 1989). Data mining thus represents a process of mining data, resulting in a model or process that is often used to route information, to recommend desirable choices and to create and analyze reports for such organizations to gain a better understanding of their customers and their needs. d2c66b5586
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