By Lior Rokach, Oded Maimon

This can be the 1st complete ebook devoted totally to the sphere of selection timber in info mining and covers all facets of this significant process. choice timber became essentially the most robust and well known ways in wisdom discovery and knowledge mining, the technological know-how and expertise of exploring huge and complicated our bodies of knowledge with a view to observe helpful styles. the realm is of serious value since it allows modeling and data extraction from the abundance of knowledge on hand. either theoreticians and practitioners are consistently looking ideas to make the method extra effective, in your price range and exact. determination bushes, initially applied in determination concept and facts, are powerful instruments in different parts similar to information mining, textual content mining, details extraction, laptop studying, and trend recognition.This booklet invitations readers to discover the numerous merits in info mining that call timber supply: self-explanatory and simple to stick to whilst compacted; in a position to deal with quite a few enter information: nominal, numeric and textual; in a position to method datasets which may have mistakes or lacking values; excessive predictive functionality for a comparatively small computational attempt; to be had in lots of information mining programs over numerous structures; and, worthy for numerous initiatives, comparable to category, regression, clustering and have choice.

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**Additional info for Data Mining with Decision Trees: Theory and Applications**

**Example text**

The binomial distribution can be well approximated by a normal distribution for reasonable values of n. The diﬀerence between two independent normally distributed random variables is itself normally distributed. Thus, the quantity pA − pB can be viewed as normally distributed if we assume that the measured error rates pA and pB are independent. 24) where n is the number of test examples. 25) which has a standard normal distribution. 05. 96, the null hypothesis could be rejected in favor of the hypothesis that the two algorithms have diﬀerent performances.

There is exactly one instance that can be located in this position) then t[k] is either 0 or 1 depending on the actual outcome of this speciﬁc instance. 11) The sum of t[k] over the entire test set is equal to the number of instances that are labeled “positive”. , PˆI (pos |xm ). The values are strictly equal when the value of j ’th is uniquely deﬁned. It should be noted that the hit rate measure was originally deﬁned without any reference to the uniqueness of a certain position. However, there are some classiﬁers that tend to provide the same conditional probability to several diﬀerent instances.

3) where pa is an a-priori probability estimation of the event and k is the equivalent sample size that determines the weight of the a-priori estimation relative to the observed data. According to [Mitchell (1997)] k is called “equivalent sample size” because it represents an augmentation of the m actual observations by additional k virtual samples distributed according to pa . 5) In order to use the above correction, the values of p and k should be selected. It is possible to use p = 1/ |dom(y)| and k = |dom(y)|.