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How to calculate Gain Ratio Data and Machine by viswateja

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gain ratio

It means that the algorithm is hunting out nodes where the training loss is already high and hence can only be minimized with a small α. On the other hand, nodes where the training loss is smaller, can accommodate a larger penalty term as part of minimization. In summary we can see the structure of the tree and at the bottom accuracy and the confusion matrix based on the training data; We can see that for our example all of them are getting classified correctly.

How do you calculate Gain Ratio in data mining?

First, determine the information gain of all the attributes, and then compute the average information gain. Second, calculate the gain ratio of all the attributes whose calculated information gain is larger or equal to the computed average information gain, and then pick the attribute of higher gain ratio to split.

For example, the packet classification algorithm based on TCAM adopts parallel search scheme, and the time complexity of the algorithm is O (1). However, dedicated hardware has some disadvantages, such as high price, long development time and high energy consumption, which limit their application and scalability to some extent. At present, in academia, researchers have put forward many general solutions based on software for packet classification. Using the rule mapping method, the input k-dimensional classification rules are mapped to the k-dimensional matrix space Mk in reverse order, forming a series of independent unit spaces. A classic algorithm is TSS (Tuple space search) [13], which divides the classification rules into multiple rule subsets according to the prefix bits of each field and stores them in hash tables.

Information gain ratio

The experimental results show that applying PCMIgr method to the construction of classification decision tree can further improve the efficiency of packet classification method based on decision tree. This idea also provides a new way for the research of packet classification. Generally speaking, the most intuitive way to deal with this problem is to construct all decision trees according to different arrangement of attributes, and then carry out package classification and efficiency comparison. This is a global optimized solution, but it is obviously too time-consuming and difficult to realize. Therefore, we designed a heuristic decision tree construction method, PCMIgr. Based on the idea of greedy strategy, this method selects the attribute with the highest “information gain ratio” at each decision tree node.

gain ratio

Information gain ratio is sometimes used instead of information gain. Information gain ratio biases against considering attributes with a large number of distinct values. However, attributes with very low information values then appear to receive an unfair advantage.

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Therefore, to determine the gaining ratio, the old ratio of the partnership must be deducted from the new ratio. The gaining ratio thus shows how much change has taken place while changing the partnership ratio from the old to the new one. A challenge with post pruning is that a decision tree can grow very deep and large and hence evaluating every branch can be computationally expensive.

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We’ll be using C5.0 algorithms which is widely used algorithm when it comes to decision trees. C5.0 is an advancement to C4.5 algorithms which is basically an extension to its predecessor ID3 algorithm. We’ll be using C50 package which contains a function called C5.0 to build C5.0 Decision Tree using R. You can clearly observe that Method 1 (Based on lead actor) splits the data best while the second method (Based on Genre) have produced mixed results. Decision Tree algorithms do similar things when it comes to select variables. Formally speaking, “Decision tree is a binary (mostly) structure where each node best splits the data to classify a response variable.


Decision tree learners create biased trees if some classes dominate. It is required to balance the dataset prior to fitting with the decision tree. The pre-pruning technique refers to the early stopping of the growth of the decision tree. The pre-pruning technique involves tuning the hyperparameters of the decision tree model prior to the training pipeline. The hyperparameters of the DecisionTreeClassifier in SkLearn include max_depth, min_samples_leaf, min_samples_split which can be tuned to early stop the growth of the tree and prevent the model from overfitting.

  • This is a global optimized solution, but it is obviously too time-consuming and difficult to realize.
  • Examples are portioned recursively based on selected attributes.
  • This method optimizes the attribute selection in the traditional decision tree construction process, and the classification efficiency is greatly improved compared with that before optimization.
  • The main disadvantage of tuple space search method is that the number of hash tables will greatly increase with time, which leads to slow packet classification.

Effectively we increase the bias of the model, i.e. , we simplify it. However, on the con side this means we have to tolerate increasing levels of impurity in the terminal nodes. We see that as α increases both no. of nodes and tree depth reduces. Based on our tree, we would first check the Math branch, then Working Yes branch. That as we have seen is a leaf node and the new observation would be classified on the basis of the majority vote in this node, i.e., since it is Pass, this new observation would also be predicted to be Pass.

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Hybridcuts [22] divide rules on a single rule field instead of all fields, which reduces the number of subsets and the frequency of memory access. Bitcuts [23] and Uscuts cut rules based on bit and unit space, respectively, achieving a better balance between classification speed and space consumption. Bytecuts [24] intelligently divides classification rules into multiple trees through byte segmentation, thus reducing rule duplication. Mbitcuts [25] reduces the space consumption and memory access in the algorithm by changing the bit selection mode when cutting the geometric space model of each tree node.

However, in cases where the new profit sharing ratio of remaining partners is given we need to calculate the gaining ratio. With the formation of the gaining ratio, the existing ratio of the partnership comes to an end, and a new partnership is formed. The continuing top 15 social entrepreneurship podcasts you must follow in 2021 partners of the firm follow this new ratio to get the profits distributed among them if any. In legal terms, the gaining ratio is formed according to the existing partners’ shares and then deducting the share of the retiring partner from the calculation.

excess gain ratio

In order to represent the structure of decision tree more intuitively, the classification rules are expressed in the form of address range in this paper, as shown in Fig. The common procedure adopted by partnership firms is to divide the retiring/ deceased partner share between the remaining partners in their old profit sharing ratio. In such a case, there is no requirement to separately compute the gaining ratio as it is the same as the old profit sharing ratio. We generated these rules by ClassBench [31], which is a well-known benchmark that provides classifiers similar to real classifiers used in Internet routers and inputs traces corresponding to the classifiers. These algorithms were implemented in Java jdk1.7, and our experiment is conducted on a desktop PC running Windows10, which has 16G memory and 1.80 GHz Intel (R) core (TM) i u Processor.

  • Where the weighted average of entropies of the children nodes is calculated by summing the product of the probability of each child node and its corresponding entropy.
  • For each feature, calculate the split info by summing the negative probabilities of the child nodes, multiplied by the logarithm of those probabilities.
  • As we discussed in one of our article about How and when does the Decision tree stop splitting?

What is Gain Ratio in statistics?

Gain Ratio is modification of information gain that reduces its bias. Gain ratio overcomes the problem with information gain by taking into account the number of branches that would result before making the split.It corrects information gain by taking the intrinsic information of a split into account.

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