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Discretization Methods (Data Mining)

Some algorithms that are used to create data mining models in SQL Server Analysis Services require specific content types in order to function correctly. For example, the Microsoft Naive Bayes algorithm cannot use continuous columns as input and cannot predict continuous values. Additionally, some columns may contain so many values that the algorithm cannot easily identify interesting patterns in the data from which to create a model.

In these cases, you can discretize the data in the columns to enable the use of the algorithms to produce a mining model. Discretization is the process of putting values into buckets so that there are a limited number of possible states. The buckets themselves are treated as ordered and discrete values. You can discretize both numeric and string columns.

There are several methods that you can use to discretize data. If your data mining solution uses relational data, you can control the number of buckets to use for grouping data by setting the value of the DiscretizationBucketCount property. The default number of buckets is 5.

If your data mining solution uses data from an Online Analytical Processing (OLAP) cube, the data mining algorithm automatically computes the number of buckets to generate by using the following equation, where n is the number of distinct values of data in the column:

Number of Buckets = sqrt(n)

If you do not want Analysis Services to calculate the number of buckets, you can use the DiscretizationBucketCount property to manually specify the number of buckets.

The following table describes the methods that you can use to discretize data in Analysis Services.

Discretization method

Description

AUTOMATIC

Analysis Services determines which discretization method to use.

CLUSTERS

The algorithm divides the data into groups by sampling the training data, initializing to a number of random points, and then running several iterations of the Microsoft Clustering algorithm using the Expectation Maximization (EM) clustering method. The CLUSTERS method is useful because it works on any distribution curve. However, it requires more processing time than the other discretization methods.

This method can only be used with numeric columns.

EQUAL_AREAS

The algorithm divides the data into groups that contain an equal number of values. This method is best used for normal distribution curves, but does not work well if the distribution includes a large number of values that occur in a narrow group in the continuous data. For example, if one-half of the items have a cost of 0, one-half the data will occur under a single point in the curve. In such a distribution, this method breaks the data up in an effort to establish equal discretization into multiple areas. This produces an inaccurate representation of the data.

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